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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">77</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:0CE58996-512E-521C-907F-C2C6EA147B5F</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Russian Journal of Economics</journal-title>
        <abbrev-journal-title xml:lang="en">RUJEC</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">2618-7213</issn>
      <issn pub-type="epub">2405-4739</issn>
      <publisher>
        <publisher-name>Non-profit partnership "Voprosy Ekonomiki"</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.32609/j.ruje.12.180870</article-id>
      <article-id pub-id-type="publisher-id">180870</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>(C33) Panel Data Models • Spatio-temporal Models</subject>
          <subject>(C38) Classification Methods • Cluster Analysis • Principal Components • Factor Models</subject>
          <subject>(L86) Information and Internet Services • Computer Software</subject>
          <subject>(O33) Technological Change: Choices and Consequences • Diffusion Processes</subject>
          <subject>(O47) Empirical Studies of Economic Growth • Aggregate Productivity • Cross-Country Output Convergence</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Platformization without platform data: A latent variable approach</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Karminsky</surname>
            <given-names>Alexander M.</given-names>
          </name>
          <uri content-type="orcid">https://orcid.org/0000-0001-8943-4611</uri>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Voytov</surname>
            <given-names>Nikolay V.</given-names>
          </name>
          <email xlink:type="simple">nvvoitov@gmail.com</email>
          <uri content-type="orcid">https://orcid.org/0000-0001-6662-9213</uri>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">HSE University, Moscow, Russia</addr-line>
        <institution>HSE University</institution>
        <addr-line content-type="city">Moscow</addr-line>
        <country>Russia</country>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Nikolay V. Voytov (<email xlink:type="simple">nvvoitov@gmail.com</email>).</p>
        </fn>
        <fn fn-type="edited-by">
          <p>Academic editor: </p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>30</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <volume>12</volume>
      <issue>2</issue>
      <fpage>199</fpage>
      <lpage>229</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/D5E9660A-9262-56E2-8E95-7814260AD509">D5E9660A-9262-56E2-8E95-7814260AD509</uri>
      <history>
        <date date-type="received">
          <day>30</day>
          <month>11</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>12</day>
          <month>05</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Non-profit partnership “Voprosy Ekonomiki”</copyright-statement>
        <license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/" xlink:type="simple">
          <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits to copy and distribute the article for non-commercial purposes, provided that the article is not altered or modified and the original author and source are credited.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>Abstract</label>
        <p>Digital multi-sided platforms intermediate a growing share of household expenditure, yet direct cross-country measurement of platformization remains infeasible owing to the absence of publicly available data. This paper treats platformization — defined as the ratio of household consumption expenditure intermediated by platforms to total consumer spending — as a latent variable and estimates it using a Multiple Indicators Multiple Causes (<abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev>) model for a panel of 86 countries over 2000–2023, drawing on the World Bank’s World Development Indicators. The selection of causal and reflective variables is grounded in the Aghion–Howitt endogenous growth model, operationalizing the creative destruction mechanism in the context of platform economics. The methodological contri­bution consists in applying a Mundlak decomposition within the <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> specification, separating short-run (within-country) and long-run (between-country) determinants of platformization while preserving the random-effects structure required for latent variable identification. Bootstrap analysis and leave-one-country-out procedures identify a robust core of determinants: financial depth, broadband access, regulatory quality­, urbanization, and R&amp;D expenditure (the latter exhibiting a negative between-effect interpreted as a crowding-out effect: countries with lower average R&amp;D intensity exhibit higher platformi­zation because they are recipients of platform technologies originating in a small number of R&amp;D-intensive exporting economies). Country-level estimates reveal conditional <italic>β</italic>-convergence alongside persistent absolute gaps among income groups, consistent with technology diffusion under institutional heterogeneity. The resulting estimates are benchmarked against independent point estimates from the literature and can serve as a basis for cross-country comparison of platformization levels and assessment of long-run regulatory effects.</p>
      </abstract>
      <kwd-group>
        <label>Keywords:</label>
        <kwd>platformization</kwd>
        <kwd>digital multi-sided platforms</kwd>
        <kwd>MIMIC</kwd>
        <kwd>structural equation modeling</kwd>
        <kwd>latent variable</kwd>
        <kwd>Mundlak decomposition</kwd>
        <kwd>Aghion–Howitt model</kwd>
        <kwd>convergence</kwd>
      </kwd-group>
      <funding-group>
        <award-group>
          <funding-source>
            <named-content content-type="funder_name">Russian Science Foundation</named-content>
            <named-content content-type="funder_identifier">501100006769</named-content>
            <named-content content-type="funder_ror">https://ror.org/03y2gwe85</named-content>
            <named-content content-type="funder_doi">http://doi.org/10.13039/501100006769</named-content>
          </funding-source>
        </award-group>
      </funding-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>JEL classification</meta-name>
          <meta-value>C33, C38, L86, O33, O47</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="1. Introduction" id="sec1">
      <title>1. Introduction</title>
      <sec sec-type="1.1. Motivation and relevance" id="sec2">
        <title>
          <italic>1.1. Motivation and relevance</italic>
        </title>
        <p>Platformization — broadly understood as one strand in the evolution of economic coordination mechanisms — manifests primarily through two- and multi-sided markets (<xref ref-type="bibr" rid="B31">Rochet and Tirole, 2003</xref>) organized around digital firms (<xref ref-type="bibr" rid="B20">Kapelyushnikov and Zinchenko, 2025</xref>). By most accounts, the phenomenon has been developing since the late 1990s, entering an accelerated corporate phase in the mid-2010s. Regulatory responses, in Russia and internationally alike, have gathered momentum since the early 2020s: the Russian Federal Law “On Certain Aspects of Platform Economy Regulation,” the European Union’s Digital Markets Act and Digital Services Act, and analogous regulatory initiatives in BRICS countries and China in particular (<xref ref-type="bibr" rid="B7">Avdasheva and Korneeva, 2019</xref>; <xref ref-type="bibr" rid="B30">Remington et al., 2024</xref>). Over this period, digital multi-sided platforms (hereafter <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev>) have evolved from an unconventional, niche form of production organization based on internet technologies into an established, large-scale industry capable of influencing macroeconomic indicators and financial markets. Nevertheless, despite their apparent ubiquity, the question of the extent to which economic activity has migrated from “open” markets to platform-mediated exchange — and which indicators are associated with this migration — remains open, which motivates the present study.</p>
        <p>Measuring platformization is far from trivial. There exists no generally accepted national or international methodology, nor indeed a consensus definition of “platformization” itself. The intermediary role of <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> poses additional obstacles to market-share estimation. Moreover, the industries subject to platformization extend well beyond electronic commerce: de facto, most consumer-facing sectors are amenable to platform intermediation (Table <xref ref-type="table" rid="T1">1</xref>), since the matching mechanism linking supply and demand sides is applicable to virtually any form of exchange. Accordingly, this study treats platformization as encompassing all B2C industries. Furthermore, the <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> under consideration operate on a global scale across diverse national economic contexts, which permits treating platformization as a universal phenomenon with both common manifestations and common drivers. It is on this premise that the present paper attempts to construct a <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model.</p>
        <table-wrap id="T1" position="float" orientation="portrait">
          <label>Table 1</label>
          <caption>
            <p>Examples of sectoral platformization.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">Industry</th>
                <th rowspan="1" colspan="1">Examples</th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Retail trade</td>
                <td rowspan="1" colspan="1">E-commerce (Amazon, Tmall, Mercado Libre), classifieds (eBay, Avito, OLX)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Food and grocery</td>
                <td rowspan="1" colspan="1">Food delivery (Rappi, Delivery Hero), foodtech (UberEats, iFood, Meituan)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Media</td>
                <td rowspan="1" colspan="1">Music streaming (Spotify), video streaming (Douyin), publishing (Medium, Substack)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Search and social</td>
                <td rowspan="1" colspan="1">Social networks (Weibo, VK), search engines (Google, Yandex, Baidu)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Transport (incl. delivery)</td>
                <td rowspan="1" colspan="1">Ride-hailing (Uber, DiDi, Bolt), car-sharing (Zipcar, BelkaCar)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Healthcare</td>
                <td rowspan="1" colspan="1">Telemedicine and medical services (Doctolib, Practo, Teladoc)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Real estate (incl. hospitality)</td>
                <td rowspan="1" colspan="1">Property transactions (Zillow, CIAN), short-term rental (Airbnb, Booking.com)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Education</td>
                <td rowspan="1" colspan="1">Professional and supplementary education (Coursera, Skillbox, Udemy)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Labor markets</td>
                <td rowspan="1" colspan="1">Skilled and unskilled gig labor (Upwork, Fiverr, TaskRabbit, YouDo)</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Compiled by the authors.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Despite sectoral diversity, <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> share a common set of economic traits: the reduction of information asymmetries through algorithmic matching; the redistribution of capital expenditure from the supply side to the intermediary (and the associated transformation of fixed costs into variable costs); and the generation of positive network externalities that increase nonlinearly with the number of participants (<xref ref-type="bibr" rid="B6">Avdasheva and Geliskhanov, 2025</xref>). These patterns are reflected in macroeconomic indicators: internet penetration, the volume of trade in techno­logy-intensive goods and services, and the maturity of digital infrastructure, which motivates the use of a unified set of variables for cross-country estimation of platformization (see Table <xref ref-type="table" rid="T4">4</xref>).</p>
        <p>These measurement challenges stem from the absence of a generally accepted statistical source comparable to the World Bank’s World Development Indicators: publicly available datasets are typically incomplete, and platform companies’ financial disclosures may omit the requisite operational metrics. The question is therefore: how can an economy’s degree of platformization be assessed using indirect indicators? In what follows, we employ two definitions of this concept. The first is a full, monetary formulation, expressed as the ratio of transactions constituting final household consumption <italic>C<sub>B2C</sub></italic> in GDP that are intermediated by platforms. The second is a reduced, population-based formulation, expressed as the share of the population engaged in platform activity (whether on the supply or demand side). The latter is used for modeling, as it satisfies the constraints imposed by the chosen specification. The objective of this paper is to present a robust model for estimating the level of platformization using publicly available macroeconomic indicators and to evaluate its convergence properties.</p>
      </sec>
      <sec sec-type="1.2. Methodology and contribution" id="sec3">
        <title>
          <italic>1.2. Methodology and contribution</italic>
        </title>
        <p>Existing studies of platformization, reviewed below, share two common limitations. First, a tendency to focus on individual platform markets rather than treating platformization at a global scale. Second, reliance on survey-based approaches, which impede cross-country comparability. The approach proposed here overcomes both limitations through the application of structural equation modeling, specifically, the Multiple Indicators Multiple Causes (<abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev>) framework, augmented with a Mundlak decomposition. This permits (1) the derivation of comparable platformization estimates for 86 countries, (2) the separation of short-run from long-run determinants of platformization, and (3) the avoidance of survey-induced bias. The digital economy and platformization have similarly been treated as unobserved variables in various studies (<xref ref-type="bibr" rid="B12">Brynjolfsson et al., 2023</xref>; <xref ref-type="bibr" rid="B11">Brynjolfsson and Collis, 2019</xref>; <xref ref-type="bibr" rid="B24">Kuzminov et al., 2025b</xref>; <xref ref-type="bibr" rid="B25">Milyakin et al., 2025</xref>; <xref ref-type="bibr" rid="B40">Watanabe et al., 2018</xref>); however, to the best of our knowledge, structural equation modeling methods have not previously been applied to the measurement of platformization. Earlier attempts to estimate the size of the platform economy arithmetically (<xref ref-type="bibr" rid="B39">Voytov and Polyakov, 2022</xref>) placed it at approximately 13% (the share of “platformized” industries) in Russia in monetary terms as of late 2021. However, the approach has become infeasible since 2022 following the cessation of public financial reporting by several major Russian companies.</p>
        <p>Given the growing regulatory salience noted above, model-based estimates may serve government and independent bodies primarily in assessing the scale of the platform economy at the level of individual industries or the economy as a whole to inform regulatory decisions, whether independently of or as a complement to survey results. Moreover, the proxy indicators considered here may be employed for nowcasting purposes.</p>
        <p>The remainder of the paper is organized as follows. Section 2 reviews definitions and characteristics of platformization that serve as the basis for variable selection in the <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model, and existing survey estimates. Section 3 describes the <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model specification. Section 4 presents the data and variable selection grounded in the Aghion–Howitt framework. Section 5 reports the estimation results, country-level estimates, and robustness checks. Section 6 concludes with a discussion of limitations and directions for future research.</p>
      </sec>
    </sec>
    <sec sec-type="2. Literature review" id="sec4">
      <title>2. Literature review</title>
      <sec sec-type="2.1. Definitions of platformization and its scale" id="sec5">
        <title>
          <italic>2.1. Definitions of platformization and its scale</italic>
        </title>
        <p>Despite the extensive literature on two- and multi-sided markets (<xref ref-type="bibr" rid="B5">Armstrong, 2006</xref>; <xref ref-type="bibr" rid="B31">Rochet and Tirole, 2003</xref>), scholars, national statistical offices, and international organizations have yet to converge on a consensus definition, although certain universal features recur across studies: network effects, the platform operator as intermediary, reliance on digital network technologies, and the presence of aggregated supply and demand sides. The terminology employed in the literature includes, among others: (digital) platform economy, digital platforms, and two- and multi-sided markets (Table <xref ref-type="table" rid="T2">2</xref>).</p>
        <table-wrap id="T2" position="float" orientation="portrait">
          <label>Table 2</label>
          <caption>
            <p>Definitions of platforms in the literature.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">Definition</th>
                <th rowspan="1" colspan="1">Source</th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Two-sided and multi-sided market — a market in which two groups of agents interact through an intermediary (typically a platform operator), and the decisions of each group affect the outcomes of the other group through externalities (network effects). The operator’s objective is to optimize the intermediation process and increase the number and volume of transactions to amplify network effects—the primary incentive for new participants to join the platform.</td>
                <td rowspan="1" colspan="1"><xref ref-type="bibr" rid="B5">Armstrong (2006)</xref>, <xref ref-type="bibr" rid="B33">Rysman (2009)</xref>,  Spulber (<xref ref-type="bibr" rid="B35">1996</xref>, <xref ref-type="bibr" rid="B36">1999</xref>, <xref ref-type="bibr" rid="B37">2009</xref>)</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Multi-sided platform — a two- or multi-sided market existing as a firm, whose business model is fundamentally based on a mechanism for matching supply and demand sides, paid by at least one side, representing the platform’s revenue and a source for developing mechanisms to strengthen network effects.</td>
                <td rowspan="1" colspan="1"><xref ref-type="bibr" rid="B31">Rochet and Tirole (2003)</xref>, <xref ref-type="bibr" rid="B16">Eisenmann et al. (2006)</xref></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Digital platform — a company using the Internet for intermediation between two or more independent user groups through a default interaction contract, which can be viewed as a complete set of market relations in miniature. The model’s development is driven by positive network externalities.</td>
                <td rowspan="1" colspan="1"><xref ref-type="bibr" rid="B14">Demary and Rusche (2018)</xref>, <xref ref-type="bibr" rid="B18">Gawer and Cusumano (2002)</xref>, <xref ref-type="bibr" rid="B21">Kenney and Zysman (2016)</xref>,  <xref ref-type="bibr" rid="B29">Parker and van Alstyne (2018)</xref>, <xref ref-type="bibr" rid="B38">Tiwana (2015)</xref>,  <xref ref-type="bibr" rid="B34">Shastitko and Markova (2020)</xref></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Multi-sided digital platforms and platform ecosystems — forms of enterprise organization whose business model replaces the “invisible hand of the market” with a “digital hand.” They represent an integrated system uniting digital infrastructure, third-party developers, and end users for joint value creation.</td>
                <td rowspan="1" colspan="1"><xref ref-type="bibr" rid="B2">Acs et al. (2021)</xref>, <xref ref-type="bibr" rid="B9">Boudreau and Hagiu (2009)</xref></td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Compiled by the authors.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>An evolutionary trajectory is apparent: from two-sided to multi-sided markets (1990–2000s), then — as technology advanced — to platforms (2010–2015), and subsequently to platforms aggregating activity across multiple multi-sided markets simultaneously (2015–present). In the present paper, we employ the following terms:</p>
        <list list-type="simple">
          <list-item>
            <p>• <italic>Digital multi-sided platforms (<abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev>)</italic>: organizations (firms) that facilitate ­algorithmically mediated interaction among two or more groups of users (supply and demand sides) through digital technologies.
                    </p>
          </list-item>
          <list-item>
            <p>• <italic>Platform economy</italic>: system of economic relations and activities within <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev>, including the production, distribution, and consumption of goods and services through platforms acting as intermediaries.
                    </p>
          </list-item>
          <list-item>
            <p>• <italic>Platformization</italic>: the process whereby the platform economy’s role in total economic activity increases. Operationally defined as the ratio of household expenditure on goods and services acquired through <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> to total consumer spending. It denotes the transition from direct bilateral interaction between supply and demand to trilateral interaction with a DMP serving as the organizer and guarantor of the transaction (purchase of goods, taxi rides, music streaming, medical services, and so forth).
                    </p>
          </list-item>
        </list>
        <p>These definitions allow us to distinguish among the object of study (<abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev>), the domain under investigation (the platform economy), and the process being measured (platformization). By definition, <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> are global actors; moreover, the multi-sided market model is replicable, a feature exploited by certain countries­ to promote the development of national platforms. However, infrastructure readiness, namely digital, social, and logistical, varies considerably, which accounts for cross-country differences in the pace and level of platformization. <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> are typically digital companies developing the platform model (<xref ref-type="bibr" rid="B40">Watanabe et al., 2018</xref>), striving for or occupying near-monopolistic, duopolistic, or oligo­polistic positions and operating at transnational scale. The status quo may, of course, vary: a given DMP may begin as a marginal player, but in the long run such cases either exit the market or evolve toward a recognizable form of imperfect competition. The Schumpeterian mechanism on which the present analysis rests does not require literal monopoly — quality-ladder rents accruing under oligopolistic competition (Yandex–Google in Russian-language search; Ozon, Wildberries, Yandex Market, and MegaMarket in Russian e-commerce; Grab and GoTo in Southeast Asia) are sufficient to fund subsequent R&amp;D investment.</p>
        <p>It is worth emphasizing that the global presence of <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> is not synonymous with uniform penetration. Despite comparable access to global platforms (e.g., Amazon, Uber, or Spotify, services of which are available in dozens of countries), actual usage levels are determined by local factors: logistical infrastructure maturity, digital payment penetration, household incomes, and the regulatory regime. E-commerce penetration, for instance, ranges from below 5% of retail turnover in several African countries to over 30% in South Korea and China — a pattern that motivates the use of country-level determinants in the modeling below.</p>
        <p>As noted, <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> typically operate across several complementary consumer verticals (see Table <xref ref-type="table" rid="T1">1</xref>). A canonical example is Indonesia’s GoTo, which combines transport services, e-commerce, and financial services, with each vertical constituting a distinct platform; by some estimates, the conglomerate accounts for up to 2% of the country’s GDP. The underlying technology and business model rest on the internet (we henceforth assume that any offline component, where present, is also indirectly intermediated through the internet).</p>
      </sec>
      <sec sec-type="2.2. Estimates and definitions of platformization" id="sec6">
        <title>
          <italic>2.2. Estimates and definitions of platformization</italic>
        </title>
        <p>Computing platformization penetration, despite the apparent clarity of the formulation, is impeded by the difficulties outlined above: first, monetary metrics may not be disclosed in corporate reporting; second, country-level disaggregation is frequently unavailable (given that DMP coverage is assumed to be global); and third, B2C turnover is not always separable from B2B turnover. The attendant methodological difficulties and constraints are discussed in <xref ref-type="bibr" rid="B39">Voytov and Polyakov (2022)</xref>. In addition, the methodological difficulty of separating transactional from non-transactional platform activity, and of defining product-market boundaries when network effects are present, is documented in detail by <xref ref-type="bibr" rid="B34">Shastitko and Markova (2020)</xref> in the context of antitrust market-definition tests.</p>
        <p>Thus, platformization (<italic>P</italic>) is defined below in two alternative formulations. The <italic>target (monetary)</italic> formulation defines platformization as the ratio of consumer expenditure intermediated by platforms to total consumer expenditure:</p>
        <p><mml:math id="M1"><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mtext>monetary </mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>G</mml:mi><mml:mi>M</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>B</mml:mi><mml:mn>2</mml:mn><mml:mi>C</mml:mi></mml:mrow></mml:msub></mml:mfrac></mml:math>, (1.1)</p>
        <p>where <italic>GMV<sub>P</sub></italic> denotes the gross merchandise volume of digital multi-sided platforms and <italic>C<sub>B2C</sub></italic> denotes household final consumption expenditure. The monetary formulation captures direct transactional <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> whose revenue is generated as a commission on gross merchandise turnover. Pure attention-market platforms (search engines, social networks, short-form video) have advertisers, not households, as their primary demand-side counterparty; the corresponding revenue does not enter household final consumption expenditure <italic>C</italic> and is therefore excluded from <italic>GMV<sub>P</sub></italic>​​ as defined in (1.1). Their activity is nonetheless assumed to facilitate household consumption indirectly, by reducing search costs and accelerating the matching of consumers to transactional platforms and to non-platform retailers alike. Accordingly, (1.1) constitutes a conservative lower bound on the total economic activity associated with <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev>: the consumer-surplus and matching-efficiency contributions of attention-market platforms, examined separately in the GDP-B literature (Brynjolfsson et al., 2023; <xref ref-type="bibr" rid="B11">Brynjolfsson and Collis, 2019</xref>), lie outside the present operationalization by design. Computing <italic>GMV<sub>P</sub></italic> at the country level is impeded by the factors discussed above. Accordingly, the reduced (population-based) formulation is used for modeling:</p>
        <p><mml:math id="M2"><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mi>o</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mtext> platform users </mml:mtext><mml:mtext> population </mml:mtext></mml:mfrac></mml:math>, (1.2)</p>
        <p>The transition from (1.1) to (1.2) is justified on the grounds that all <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model variables are expressed as population-based ratios (internet-user share, employment share, etc.) without standardization, so that the latent variable <italic>η</italic> inherits their unit of measurement. This circumvents the calibration problem characteristic of <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> estimates of the shadow economy (<xref ref-type="bibr" rid="B10">Breusch, 2016</xref>) and avoids potential difficulties arising from dimensional mismatches between the reflective and structural equations’ feature spaces. The monetary interpretation (1.1) is used for validation purposes, benchmarking against the point estimates in Table <xref ref-type="table" rid="T3">3</xref> through an adjustment for the share of household final consumption in GDP. Under the target formulation, platformization is the ratio of consumer expenditure intermediated by platforms to total household consumer expenditure (<italic>C<sub>B2C</sub></italic>); under the reduced formulation employed for modeling, it is the share of the population using (involved in) platforms. The latter is expected to substantially exceed the former; (1.1) is then calculated as a product of share of household consumption and model <italic>η</italic> from (1.2).</p>
        <table-wrap id="T3" position="float" orientation="portrait">
          <label>Table 3</label>
          <caption>
            <p>Point estimates of the platform economy’s size.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">Volume, %</th>
                <th rowspan="1" colspan="1">Region</th>
                <th rowspan="1" colspan="1">Year</th>
                <th rowspan="1" colspan="1">Data Source</th>
                <th rowspan="1" colspan="1">Author</th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">5.5</td>
                <td rowspan="1" colspan="1">Russia</td>
                <td rowspan="1" colspan="1">2024</td>
                <td rowspan="1" colspan="1">Rosstat</td>
                <td rowspan="1" colspan="1">Rosstat; Companies’ datа</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">4</td>
                <td rowspan="1" colspan="1">Russia</td>
                <td rowspan="1" colspan="1">2025</td>
                <td rowspan="1" colspan="1">Surveys</td>
                <td rowspan="1" colspan="1">
                  <xref ref-type="bibr" rid="B20">Kapelyushnikov and Zinchenko, 2025</xref>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">3–5</td>
                <td rowspan="1" colspan="1">Russia</td>
                <td rowspan="1" colspan="1">2025</td>
                <td rowspan="1" colspan="1">Rosstat</td>
                <td rowspan="1" colspan="1">
                  <xref ref-type="bibr" rid="B25">Milyakin et al., 2025</xref>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">16</td>
                <td rowspan="1" colspan="1">OECD</td>
                <td rowspan="1" colspan="1">2023</td>
                <td rowspan="1" colspan="1">OECD</td>
                <td rowspan="1" colspan="1">OECD</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">11</td>
                <td rowspan="1" colspan="1">World</td>
                <td rowspan="1" colspan="1">2016</td>
                <td rowspan="1" colspan="1">Internal data</td>
                <td rowspan="1" colspan="1">
                  <xref ref-type="bibr" rid="B17">Farrell and Greig, 2017</xref>
                </td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">18.5</td>
                <td rowspan="1" colspan="1">World</td>
                <td rowspan="1" colspan="1">2023</td>
                <td rowspan="1" colspan="1">Surveys</td>
                <td rowspan="1" colspan="1">
                  <xref ref-type="bibr" rid="B41">World Bank, 2023</xref>
                </td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Compiled by the authors.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>In Russian literature, estimates of the platform economy’s size are reported in <xref ref-type="bibr" rid="B23">Kuzminov et al. (2025a)</xref>, <xref ref-type="bibr" rid="B22">Koshel et al. (2025)</xref>, <xref ref-type="bibr" rid="B24">Kuzminov et al. (2025b)</xref>, measured as the share of platforms in total consumer turnover in Russia, estimated at 5.5%. Kapelyushnikov and Zinchenko (<xref ref-type="bibr" rid="B19">2024</xref>, <xref ref-type="bibr" rid="B20">2025</xref>) estimate a related indicator, the share of employment in the corresponding sector, at 4%. The primary impetus for interest in this topic is the observation that regulation substantially lags the actual level of DMP development. Other researchers (<xref ref-type="bibr" rid="B25">Milyakin et al., 2025</xref>) find that a 3–5 percentage point increase in platformization (as the share of platform-intermediated turnover relative to total household consumer spending) is associated with a 1 percentage point increase in GDP, estimated using an input–output method. Citing internal data, Sberbank reported a figure of 3% in 2021.<sup><xref ref-type="fn" rid="en1">1</xref></sup> Furthermore, according to statements by Russian government officials, the share of the platform economy is no less than 5% of GDP.<sup><xref ref-type="fn" rid="en2">2</xref></sup></p>
        <p>In the international literature, the platform economy is usually treated as a component of the digital economy and assessed within the paradigm of “unobserved” GDP growth (<xref ref-type="bibr" rid="B12">Brynjolfsson et al., 2023</xref>; <xref ref-type="bibr" rid="B40">Watanabe et al., 2018</xref>). To this end, new metrics have been proposed — for instance, GDP-B (<xref ref-type="bibr" rid="B11">Brynjolfsson and Collis, 2019</xref>) to construct a monetary subjective valuation of platform utility based on surveys, which is then added to official figures. The average magnitude of this addition is estimated at 5.95% of GDP. For OECD countries, the direct and indirect contribution of “intermediaries” was estimated at 8.35% of cumulative GDP over 2009–2013 (<xref ref-type="bibr" rid="B28">Nielsen et al., 2013</xref>), or 1.67% per annum on average. Point estimates of the platform economy as a share of U.S. disposable income, based on data from JPMorgan Chase (<xref ref-type="bibr" rid="B17">Farrell and Greig, 2017</xref>), place the supply-side share at approximately 4% and the combined share at approximately 18% as of 2016. In the <xref ref-type="bibr" rid="B41">World Bank research (2023)</xref>, the share of firm turnover attributable to platforms, based on survey results for 2019–2022, averages 6%, while the share of consumer expenditure is 30.9%, with developing countries predominating in the sample. Additionally, the OECD regularly conducts surveys across 32 member countries (covering the share of the population and enterprises buying and selling goods online, among other indicators), which suggest that approximately 16% of enterprise retail turnover is platform-related.<sup><xref ref-type="fn" rid="en3">3</xref></sup></p>
        <p>Existing estimates of the platform economy’s size may be summarized as follows (Table <xref ref-type="table" rid="T3">3</xref>). The median estimate is approximately 5.5% of GDP. It is noteworthy that statistical and survey-based estimates exhibit a degree of consensus. In the aforementioned study (<xref ref-type="bibr" rid="B39">Voytov and Polyakov, 2022</xref>), the share of “­platformized” industries­ in Russia (i.e., those in which transactions can be conducted via platforms) was estimated at 13% as of late 2021; however, when all consumer industries are included, counting those where platforms were not yet present, the estimate falls to 7%. Moreover, survey methods predominate in the cited studies, underscoring the need for a unified phenomenological approach independent of questionnaire design particularities, the results of which should nevertheless be taken into account for validating model-based estimates. Although research on the contribution of digitalization to GDP, including its unobserved component, has been conducted since the 2010s (<xref ref-type="bibr" rid="B40">Watanabe et al., 2018</xref>), empirical estimates of digital platforms’ share in aggregate consumption appear in the international literature only from the second half of the 2010s, and in the Russian literature from the early 2020s, whereas the theoretical foundations of platform markets have been under development since the early 2000s. We note that the platformization estimated below is not synonymous with the “gig economy” (i.e., full platform employment without alternative; <xref ref-type="bibr" rid="B20">Kapelyushnikov and Zinchenko, 2025</xref>).</p>
      </sec>
    </sec>
    <sec sec-type="3 . The MIMIC model" id="sec7">
      <title>3 . The MIMIC model</title>
      <sec sec-type="3 .1. Model requirements" id="sec8">
        <title>
          <italic>3 .1. Model requirements</italic>
        </title>
        <p>As noted above, the principal obstacle to measuring platformization is the limited­ data availability, a constraint similar to that encountered in the shadow economy literature. However, whereas in the latter case data scarcity arises from agents’ motivation to conceal their activities, platformization may be characterized­ as a latent construct with certain qualifications. First, the volume of corporate information disclosed by the largest digital platforms, which may seek to avoid antitrust enforcement (<xref ref-type="bibr" rid="B6">Avdasheva and Geliskhanov, 2025</xref>), is typically limited. Second, platformization manifests partly as the restructuring of existing industries through transaction-cost reduction and partly as the generation of novel economic categories — the data brokerage layer, programmatic digital advertising, and the demand pull on specialized hardware (GPUs and TPUs) — that did not exist as discrete industries prior to DMP development. Both effects exhibit features of latent influence in the sense relevant for <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> estimation: they manifest through the same set of macroeconomic indicators (digital infrastructure, service-sector employment, ICT goods imports, new business registrations) regardless of whether the underlying mechanism is incumbent displacement or category creation, which is the substantive justification for treating platformization as a single latent construct rather than two separate phenomena.</p>
        <p>The most widely used econometric tool for estimating such unobserved variables is structural equation modeling (SEM), originating in the LISREL framework of the 1970s and extensively applied in psychometric research (<xref ref-type="bibr" rid="B27">Muthén, 2002</xref>), and its reduced form, the <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model (Multiple Indicators Multiple Causes; <xref ref-type="bibr" rid="B42">Zellner, 1970</xref>), which is suited to cases lacking natural units of measurement for the construct and exhibiting heterogeneity in residuals.</p>
        <p>It must be acknowledged that this approach is not free of substantial limitations. The most systematic critique of the <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> approach in a macroeconomic context (shadow economy estimation), building on (<xref ref-type="bibr" rid="B13">Dell’Anno and Schneider, 2006</xref>), as an outcome of that discussion, and presented in (<xref ref-type="bibr" rid="B10">Breusch, 2016</xref>), may be distilled into four principal objections: (a) obstacles to direct interpretation in the statistical identification of the latent variable as a specific phenomenon; (b) non-robustness of estimates to changes in specification (hypersensitivity); (c) the arbitrariness of the benchmarking procedure (also referred to as “calibration”; <xref ref-type="bibr" rid="B15">Dybka et al., 2019</xref>) and of variable transformations (the requirement to apply identical transformations to provide a substantive interpretation of the resulting dimensionless indicator); and (d) the requirement that indicators be mutually uncorrelated conditional on the latent variable (conditional independence). Furthermore, <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> is a confirmatory rather than an explanatory model: coefficients are fitted within a researcher-specified structure of causes and indicators, meaning that the resulting estimates express associative rather than causal relationships. Interpreting parameters as explanatory is therefore inappropriate, and the theoretical basis justifying the chosen specification is of paramount importance.</p>
        <p>In light of this critique, the present paper undertakes a series of measures to mitigate each limitation:</p>
        <p>(a) <italic>Identification of the latent variable</italic>. Unlike shadow economy research, where the latent construct is defined by negation (production that cannot be observed), platformization has a more circumscribed theoretical content: it is a measurable process of DMP penetration into economic activity through identifiable channels (digital transactions, infrastructure readiness, and usage patterns) that could in principle be estimated mechanically (and likely will be in the future as available data improves), by analogy with market share estimation, but is currently unavailable for direct measurement. This narrows the space of alternative interpretations of the latent factor. Substantive identification is provided by the Aghion–Howitt theoretical framework of “creative destruction” described below, while statistical identification is achieved by fixing the loading of the indicator “share of the population with internet access” at 1, which establishes a natural upper bound on DMP penetration and preserves a direct interpretation of the latent variable <italic>η</italic> (hereafter Λ<sub>1</sub> = 1 in equation (3)).</p>
        <p>(b) <italic>Measurement homogeneity and the absence of arbitrary transformations</italic>. As <xref ref-type="bibr" rid="B10">Breusch (2016)</xref> observes, a significant problem in <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> studies is the use of opaque variable transformations (standardizing indicators while leaving causes unstandardized, etc.), whereby the latent factor becomes an artifact of the chosen scale. In the present paper, causes, indicators, and the estimated latent variable are all expressed in uniform population-based ratio metrics. For variables exhibiting pronounced right-skewness, logarithmic transformations were applied uniformly to preserve monotonicity (see Table <xref ref-type="table" rid="T4">4</xref>). Notably, these adjustments did not involve standardizing the indicators relative to the causal predictors.</p>
        <table-wrap id="T4" position="float" orientation="portrait">
          <label>Table 4</label>
          <caption>
            <p><abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> variables — causes and indicators with descriptions.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">Type</th>
                <th rowspan="1" colspan="1">Indicator</th>
                <th rowspan="1" colspan="1">Description</th>
              </tr>
              <tr>
                <td rowspan="9" colspan="1">Cause</td>
                <td rowspan="1" colspan="1">R&amp;D expenditure (% of GDP)</td>
                <td rowspan="1" colspan="1">Operationalizes the parameter <italic>λ</italic> (R&amp;D productivity) of the Aghion–Howitt model. <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> are among the largest corporate investors in R&amp;D (cloud infrastructure, artificial intelligence, logistics technologies), and economy-wide R&amp;D expenditure reflects the investment potential for “creative destruction.”</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Regulatory quality (percentile rank)</td>
                <td rowspan="1" colspan="1">Operationalizes the institutional environment that determines the level of transaction costs. Platform business models require specific regulatory infrastructure: contract enforceability, data protection, intellectual property rights, and competition policy. In the within-country dimension, this indicator captures regulatory <italic>changes</italic> that directly affect the conditions under which platforms operate.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Educational attainment (bachelor’s degree, % of population aged 25+)</td>
                <td rowspan="1" colspan="1">Operationalizes the parameter <italic>L<sub>R</sub></italic> (R&amp;D labor): the share of the population with tertiary education determines the human capital available both to the R&amp;D sector and to the skilled labor force of the intermediate sector required for the development and maintenance of <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev>.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">ATM density (per 100,000 adults)</td>
                <td rowspan="1" colspan="1">Operationalizes the penetration of formal financial infrastructure. ATM density reflects the prevalence of payment infrastructure, which constitutes a prerequisite for digital payments and platform-mediated transactions. Logarithm applied.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Domestic credit to private sector (% of GDP)</td>
                <td rowspan="1" colspan="1">Captures the availability of financing for investment in the intermediate sector and consumer lending in the final sector. Platforms operate under conditions of large upfront investment with deferred monetization, which presupposes a developed credit infrastructure; moreover, many are high-growth firms that attract debt capital. Logarithm applied.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Fixed broadband subscriptions (per 100 people)</td>
                <td rowspan="1" colspan="1">Operationalizes the infrastructure component of the intermediate sector: broadband connectivity provides the bandwidth necessary for the functioning of platform services (cloud computing, streaming, e-commerce).</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Access to electricity (% of population)</td>
                <td rowspan="1" colspan="1">A basic infrastructure condition: electrification is a necessary prerequisite for the operation of digital devices and telecommunications infrastructure, defining the lower threshold of feasible platformization.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Urban population (% of total)</td>
                <td rowspan="1" colspan="1">Operationalizes agglomeration effects and demand density: urbanization creates the concentration of users necessary to achieve network effects in two-sided platforms (delivery, ridehailing, local service marketplaces).</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Trade (% of GDP)</td>
                <td rowspan="1" colspan="1">Captures the openness of the economy to global platforms: cross-border trade creates channels for the penetration of international <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> and integration into global value chains. Logarithm applied.</td>
              </tr>
              <tr>
                <td rowspan="7" colspan="1">Indicator</td>
                <td rowspan="1" colspan="1">Internet users (% of population)</td>
                <td rowspan="1" colspan="1">Reference indicator (<italic>λ</italic><sub>1</sub> = 1). Establishes a natural upper bound on platformization coverage: the share of the population using the internet is a necessary condition for participation in the platform economy and determines the dimension of <italic>η</italic> (%).</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Mobile cellular subscriptions (per 100 people)</td>
                <td rowspan="1" colspan="1">Operationalizes demand-side access to two-sided markets: mobile devices are the primary channel of interaction with platforms, particularly in developing countries where mobile access outpaces fixed-line. Logarithm applied.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Employment in services (% of total employment)</td>
                <td rowspan="1" colspan="1">Reflects the expansion of the final sector (<italic>C</italic>) under the influence of platforms: <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> convert previously informal or household production into measurable service-sector employment (platform employment, gig economy).</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Secure internet servers (per 1 million people)</td>
                <td rowspan="1" colspan="1">Operationalizes the density of digital infrastructure: the number of secure servers reflects the scale of deployed platform infrastructure, including cloud services and e-commerce. Logarithm applied.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">ICT goods imports (% of total goods imports)</td>
                <td rowspan="1" colspan="1">A manifestation of demand for digital devices: the growth of platformization stimulates imports of ICT equipment (smartphones, servers, networking equipment) required for participation in the platform economy.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">ICT services exports (% of service exports, balance of payments, BoP)</td>
                <td rowspan="1" colspan="1">A manifestation of platform output at international scale: the growth of platformization is associated with an expansion of digital service exports (cloud services, SaaS, development outsourcing), reflecting integration into global platform value chains.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">New business density (registrations per 1,000 people aged 15–64)</td>
                <td rowspan="1" colspan="1">A direct indicator of “creative destruction”: platforms lower barriers to entry (marketplace sellers, app developers, platform-based self-employment), raising new business density, which directly reflects the mechanism of incumbent displacement.</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Compiled by the authors based on World Bank data.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>(c) <italic>Sensitivity to specification</italic>. A systematic leave-one-country-out (<abbrev xlink:title="leave-one-country-out">LOCO</abbrev>) procedure is employed, along with bootstrapping for the computation of confidence intervals. The stability of the latent variable’s trajectory under changes in specification is interpreted as evidence in favor of a substantive, rather than statistical, origin of the extracted factor. The resulting estimates are also benchmarked against those reported in the literature reviewed above.</p>
        <p>(d) <italic>Conditional independence of indicators and cross-country heterogeneity</italic>. The assumption of mutual uncorrelatedness of indicators conditional on the latent variable proves to be the most difficult to verify: each variable is expected to correlate individually with <italic>η</italic> while not correlating with other variables. In the context of panel data, a substantial portion of the observed covariation among indicators is attributable not to conditional independence violation per se, but rather to cross-country heterogeneity: countries at different levels of development exhibit systematically different levels of all indicators and causes simultaneously, creating an appearance of co-movement not mediated by the latent factor. In the literature, combinations of fixed and random effects with SEM have been applied in longitudinal studies in the health sciences (<xref ref-type="bibr" rid="B8">Bollen and Brand, 2010</xref>); in the present paper, a Mundlak decomposition is employed to separate within-country and between-country variance while preserving the random-effects structure necessary for <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model identification (<xref ref-type="bibr" rid="B26">Mundlak, 1978</xref>). To our knowledge, the combination of Mundlak decomposition with a <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> specification has not previously been applied in a macroeconomic context, although analogous within–between decompositions have been employed with structural equation models in longitudinal health and sociological research; it permits the retention of unit-specific characteristics while achieving the requisite conditional independence of variables. Following this correction, the conditional independence assumption is required only for within-country variation of indicators over time — a considerably more tenable condition than global conditional independence in the pooled sample.</p>
      </sec>
      <sec sec-type="3.2. General specification" id="sec9">
        <title>
          <italic>3.2. General specification</italic>
        </title>
        <p>The reduced form of SEM, the <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model, may be represented as a structural equation for computing the value of the latent (structural) variable (2) and a measurement (reflective) model for assessing its manifestation through observed indicators (3):</p>
        <p><italic>η<sub>it</sub></italic> = <italic>γ' x<sub>it</sub></italic> + <italic>ζ<sub>it</sub></italic>, (2)</p>
        <p><italic>y<sub>it</sub></italic> = Λ <italic>η<sub>it</sub></italic> + <italic>ϵ<sub>it</sub></italic>, (3)</p>
        <p>where <italic>x<sub>it</sub></italic> is the vector of observed causes (causal or structural indicators) serving as regressors of the latent variable; <italic>η<sub>it</sub></italic> is the scalar latent variable; <italic>y<sub>it</sub></italic> is the vector of observed indicators (reflective indicators through which the latent variable is manifested); <italic>ζ<sub>it</sub></italic> is the disturbance in the equation for <italic>η</italic>; <italic>ϵ<sub>it</sub></italic> is the vector of indicator measurement errors; <italic>γ'</italic> is the coefficient vector linking causal variables to the latent variable in the structural equation (2); and Λ = (<italic>λ</italic><sub>1</sub>, ..., <italic>λ<sub>q</sub></italic>)<italic>'</italic> is the vector of factor loadings of the latent variable on the reflective indicators.</p>
        <p>The estimation mechanism can be represented schematically as:</p>
        <p><italic>x <sup>γ</sup>→ η <sup>λ</sup>→ y</italic>,</p>
        <p>and is used to substantiate the selection of Aghion–Howitt-inspired model para­meters. Let us denote Σ<sub><italic>x</italic></sub> = Var(<italic>x<sub>it</sub></italic>), then:</p>
        <p>Var(<italic>η<sub>it</sub></italic>) = <italic>ψ</italic> = <italic>γ'</italic> Σ<italic><sub>x</sub> γ</italic> + <italic>σ<sub>ζ</sub></italic><sup>2</sup>. (4)</p>
        <p>The intuition behind the model is the assumption of an empirical relationship between causes and indicators, reproduced in the assumed specification of the <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model with parameters Σ ≈ Σ(<italic>θ</italic>), in which case the model and empirical covariances are close in value. Under the standard assumption of uncorrelated measurement errors with causes Cov(<italic>ϵ<sub>it</sub></italic>, <italic>x<sub>it</sub></italic>) = 0, the matrix expressions of covariances are:</p>
        <p>Cov(<italic>y<sub>it</sub></italic>, <italic>x<sub>it</sub></italic>) = Λ(<italic>γ'</italic> Σ<sub><italic>x</italic></sub>), Cov(<italic>y<sub>it</sub></italic>) = Λ<italic>ψ</italic>Λ<italic>'</italic>  + Ψ<sub><italic>ϵ</italic></sub>,</p>
        <p>where Ψ<sub><italic>ϵ</italic></sub> = diag(<italic>σ<sub>ϵ</sub></italic><sub>1</sub><sup>2</sup>, ..., <italic>σ<sub>ϵq</sub></italic><sup>2</sup>) for uncorrelated measurement errors. In component form, for individual indicators <italic>r</italic>, <italic>s</italic>, and causes <italic>j</italic>:</p>
        <p><mml:math id="M3"><mml:mi>Cov</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msubsup><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi>Λ</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:munder><mml:mo>∑</mml:mo><mml:mi>m</mml:mi></mml:munder><mml:msub><mml:mi>γ</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:msub><mml:mi>Σ</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mstyle scriptlevel="0"><mml:mspace width="1em"/></mml:mstyle><mml:mi>Cov</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msubsup><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi>Λ</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:msub><mml:mi>Λ</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mi>ψ</mml:mi><mml:mo>+</mml:mo><mml:mi>Cov</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msubsup><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mi>ϵ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math>.</p>
        <p>The model covariance matrix of observable variables is written as:</p>
        <p>
          <mml:math id="M4">
            <mml:mi>Σ</mml:mi>
            <mml:mo>(</mml:mo>
            <mml:mi>θ</mml:mi>
            <mml:mo>)</mml:mo>
            <mml:mo>=</mml:mo>
            <mml:mrow>
              <mml:mo>(</mml:mo>
              <mml:mtable columnalign="left left" columnspacing="1em" rowspacing="4pt">
                <mml:mtr>
                  <mml:mtd>
                    <mml:msub>
                      <mml:mi>Σ</mml:mi>
                      <mml:mi>x</mml:mi>
                    </mml:msub>
                  </mml:mtd>
                  <mml:mtd>
                    <mml:msub>
                      <mml:mi>Σ</mml:mi>
                      <mml:mrow>
                        <mml:mi>y</mml:mi>
                        <mml:mo>,</mml:mo>
                        <mml:mi>x</mml:mi>
                      </mml:mrow>
                    </mml:msub>
                  </mml:mtd>
                </mml:mtr>
                <mml:mtr>
                  <mml:mtd>
                    <mml:msub>
                      <mml:mi>Σ</mml:mi>
                      <mml:mrow>
                        <mml:mi>y</mml:mi>
                        <mml:mo>,</mml:mo>
                        <mml:mi>x</mml:mi>
                      </mml:mrow>
                    </mml:msub>
                  </mml:mtd>
                  <mml:mtd>
                    <mml:mi>Λ</mml:mi>
                    <mml:mi>ψ</mml:mi>
                    <mml:msup>
                      <mml:mi>Λ</mml:mi>
                      <mml:mrow>
                        <mml:mi>′</mml:mi>
                      </mml:mrow>
                    </mml:msup>
                    <mml:mo>+</mml:mo>
                    <mml:msub>
                      <mml:mi>Ψ</mml:mi>
                      <mml:mi>ϵ</mml:mi>
                    </mml:msub>
                  </mml:mtd>
                </mml:mtr>
              </mml:mtable>
              <mml:mo>)</mml:mo>
            </mml:mrow>
            <mml:mo>,</mml:mo>
            <mml:mstyle scriptlevel="0">
              <mml:mspace width="1em"/>
            </mml:mstyle>
            <mml:msub>
              <mml:mi>Σ</mml:mi>
              <mml:mrow>
                <mml:mi>y</mml:mi>
                <mml:mo>,</mml:mo>
                <mml:mi>x</mml:mi>
              </mml:mrow>
            </mml:msub>
            <mml:mo>=</mml:mo>
            <mml:mi>Λ</mml:mi>
            <mml:mrow>
              <mml:mo>(</mml:mo>
              <mml:msup>
                <mml:mi>γ</mml:mi>
                <mml:mrow>
                  <mml:mi>′</mml:mi>
                </mml:mrow>
              </mml:msup>
              <mml:msub>
                <mml:mi>Σ</mml:mi>
                <mml:mi>x</mml:mi>
              </mml:msub>
              <mml:mo>)</mml:mo>
            </mml:mrow>
            <mml:mo>,</mml:mo>
            <mml:mstyle scriptlevel="0">
              <mml:mspace width="1em"/>
            </mml:mstyle>
            <mml:msub>
              <mml:mi>Σ</mml:mi>
              <mml:mrow>
                <mml:mi>y</mml:mi>
                <mml:mo>,</mml:mo>
                <mml:mi>x</mml:mi>
              </mml:mrow>
            </mml:msub>
            <mml:mo>=</mml:mo>
            <mml:msubsup>
              <mml:mi>Σ</mml:mi>
              <mml:mrow>
                <mml:mi>y</mml:mi>
                <mml:mo>,</mml:mo>
                <mml:mi>x</mml:mi>
              </mml:mrow>
              <mml:mrow>
                <mml:mi>′</mml:mi>
              </mml:mrow>
            </mml:msubsup>
            <mml:mo>=</mml:mo>
            <mml:msub>
              <mml:mi>Σ</mml:mi>
              <mml:mi>x</mml:mi>
            </mml:msub>
            <mml:mi>γ</mml:mi>
            <mml:msup>
              <mml:mi>Λ</mml:mi>
              <mml:mrow>
                <mml:mi>′</mml:mi>
              </mml:mrow>
            </mml:msup>
            <mml:mo>,</mml:mo>
          </mml:math>
        </p>
        <p>and the model hypothesis is that the empirical covariance matrix Σ is repro­ducible by the model matrix Σ(<italic>θ</italic>) for some set of parameters <italic>θ</italic>.</p>
        <p>The current specification uses nine causal indicators (<italic>x<sub>it</sub></italic>) and seven effect indicators (<italic>y<sub>it</sub></italic>) for the combination of countries (<italic>i</italic>) and years (<italic>t</italic>) described below. The empirical covariance matrix Σ has a dimension of 16×16 and contains all pairwise covariances between variables:</p>
        <p><mml:math id="M5"><mml:mi>Σ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mo>[</mml:mo><mml:mtable columnalign="left left" columnspacing="1em" rowspacing="4pt"><mml:mtr><mml:mtd><mml:msub><mml:mi>Σ</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mi>Σ</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mi>Σ</mml:mi><mml:mrow><mml:mi>y</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mi>Σ</mml:mi><mml:mrow><mml:mi>y</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mn>16</mml:mn><mml:mo>×</mml:mo><mml:mn>16</mml:mn></mml:mrow></mml:msub></mml:math>.</p>
        <p>The model covariance matrix is expressed through the <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model parameters and has the same block structure. For example, the model and empirical covariance between “R&amp;D expenditure” (<italic>x</italic><sub>2</sub>) and “new businesses” (<italic>y</italic><sub>3</sub>) is ­described as:</p>
        <p><mml:math id="M6"><mml:mi>Cov</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mn>9</mml:mn></mml:munderover><mml:mi>Cov</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>⋅</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>λ</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>, (5)</p>
        <p>where the amount of R&amp;D expenditure correlates with latent “platformization” (<italic>γ<sub>k</sub></italic>), which manifests itself in new businesses emergence (<italic>λ</italic><sub>3</sub>), but this relationship also takes into account correlations with other causes.</p>
        <p>The Mundlak decomposition, which reduces the conditional independence requirement to within-country variation, is formalized as follows:</p>
        <p><mml:math id="M7"><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:munder><mml:mrow><mml:munder><mml:msub><mml:mrow><mml:mover><mml:mi>x</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mi>i</mml:mi></mml:msub><mml:mo>⏟</mml:mo></mml:munder></mml:mrow><mml:mrow><mml:mtext>Between </mml:mtext></mml:mrow></mml:munder><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:munder><mml:mrow><mml:munder><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mover><mml:mi>x</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mo>⏟</mml:mo></mml:munder></mml:mrow><mml:mrow><mml:mtext>Within </mml:mtext></mml:mrow></mml:munder><mml:mo>)</mml:mo></mml:math>, (6)</p>
        <p>where the first component (<italic>between</italic>) captures the country-specific time-average of the variable (structural differences between countries) and the second component (<italic>within</italic>) captures the deviation from the country mean (temporal changes within a country). The structural equation then takes the form:</p>
        <p><mml:math id="M8"><mml:msub><mml:mi>η</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mn>9</mml:mn></mml:munderover><mml:msubsup><mml:mi>γ</mml:mi><mml:mi>k</mml:mi><mml:mi>W</mml:mi></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mover><mml:mi>x</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mn>9</mml:mn></mml:munderover><mml:msubsup><mml:mi>γ</mml:mi><mml:mi>k</mml:mi><mml:mi>B</mml:mi></mml:msubsup><mml:msub><mml:mrow><mml:mover><mml:mi>x</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>k</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>ζ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:math>, (7)</p>
        <p>where <italic>γ<sub>k</sub><sup>W</sup></italic> are the within-country effect coefficients (short-run dynamics) and <italic>γ<sub>k</sub><sup>B</sup></italic> are the between-country effect coefficients (long-run structural differences). The reflective model remains unchanged:</p>
        <p><italic>y<sub>jit</sub></italic> = <italic>λ<sub>j</sub> η<sub>it</sub></italic> + <italic>ε<sub>jit</sub></italic>, <italic>j</italic> = 1, ..., 7.</p>
        <p>The complete specification of the model consists of a modified structural equation:</p>
        <p><italic>η<sub>it</sub></italic> = <italic>γ</italic><sub>1</sub><italic><sup>W</sup></italic>(<italic>x</italic><sub>1<italic>it</italic></sub> – <italic>x</italic>‾<sub>1<italic>i</italic></sub>) + ... + <italic>γ</italic><sub>9</sub><italic><sup>W</sup></italic>(<italic>x</italic><sub>9<italic>it</italic></sub> – <italic>x</italic>‾<sub>9<italic>i</italic></sub>) + <italic>γ</italic><sub>1</sub><sup><italic>B</italic></sup><italic>x</italic>‾<sub>1<italic>i</italic></sub> + ... + <italic>γ</italic><sub>9</sub><italic><sup>B</sup> x</italic>‾<sub>9<italic>i</italic></sub> + <italic>ζ<sub>it</sub></italic>,</p>
        <p>and a measurement equation (reflective model):</p>
        <p><italic>y</italic><sub>1<italic>it</italic></sub> = 1.0 ∙ <italic>η<sub>it</sub></italic> + <italic>ε</italic><sub>1<italic>it</italic></sub>, (fixed)</p>
        <p><italic>y</italic><sub>2<italic>it</italic></sub> = <italic>λ</italic><sub>2</sub><italic>η<sub>it</sub></italic> + <italic>ε</italic><sub>2<italic>it</italic></sub></p>
        <p>⋮</p>
        <p><italic>y</italic><sub>7<italic>it</italic></sub> = <italic>λ</italic><sub>7</sub><italic>η<sub>it</sub></italic> + <italic>ε</italic><sub>7<italic>it</italic></sub>. (8)</p>
        <p>Parameter estimation is carried out by minimizing the discrepancy function using diagonally weighted least squares (DWLS), which is standard for structural equations.</p>
      </sec>
    </sec>
    <sec sec-type="4. Data selection through the lens of creative destruction" id="sec10">
      <title>4. Data selection through the lens of creative destruction</title>
      <sec sec-type="4.1. The Aghion–Howitt model of economic growth" id="sec11">
        <title>
          <italic>4.1. The Aghion–Howitt model of economic growth</italic>
        </title>
        <p>The in dicators for estimating platformization draw on the Aghion–Howitt model of economic growth (<xref ref-type="bibr" rid="B3">Aghion and Howitt, 1992</xref>), which extends the theory of endogenous growth (<xref ref-type="bibr" rid="B32">Romer, 1990</xref>), both being heirs to Schumpeter’s concept of “creative destruction.” The choice of this theoretical framework is guided by three requirements. First, the model must interpret economic growth as a pheno­menon linked to imperfect competition, of which <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> are prominent exemplars (the supernormal profits of participants in this market constitute a source of technology financing). Second, its parameters must be operationalizable through universal economic indicators available for any country. Third, the model must be endogenous, so that the selected parameters can be empirically estimated.</p>
        <p>The Aghion–Howitt model, extending Romer’s “quality ladders,” describes a three-sector economy: a final goods market (consumption), an intermediate goods market (capital, production, and medium-skilled labor), and an R&amp;D sector (highly skilled labor). Growth is endogenous and driven by monopolistic competition: the incumbent monopolist’s incentive to invest in R&amp;D diminishes as current supernormal profits exceed the expected return on innovation. Over time, an innovator emerges who displaces the incumbent through technological superiority, whereupon the cycle repeats. The transmission mechanism propagates sequentially through the three sectors: R&amp;D investment improves the quality of intermediate goods, which increases output and consumption in the final sector and redistributes market power in favor of the technological leader. The probability of an innovation arising as a product of R&amp;D activity directly affects the rate of sustainable growth:</p>
        <p><mml:math id="M9"><mml:msup><mml:mi>g</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>λ</mml:mi><mml:msub><mml:mi>L</mml:mi><mml:mi>R</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>γ</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo><mml:mo>−</mml:mo><mml:mi>r</mml:mi></mml:mrow><mml:mi>θ</mml:mi></mml:mfrac></mml:math>,</p>
        <p>where <italic>λ</italic> is R&amp;D productivity, <italic>L<sub>R</sub></italic> is labor in the R&amp;D sector, <italic>γ</italic> &gt; 1 is the size of the quality improvement, <italic>r</italic> is the rate of intertemporal preference, and <italic>θ</italic> is the elasticity of intertemporal substitution. In other words, the greater the activity of the R&amp;D sector, the higher the quality and productivity of the intermediate sector and, consequently, the greater consumption in the final sector.</p>
        <p>In the context of the platform economy, <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> assume the role of Schumpeterian monopolists. The mechanism of “creative destruction” is reproduced as follows: a platform achieves a temporary monopolistic position through network effects and the reduction of transaction costs, attracting the demand side, which in turn attracts the supply side. Accumulated monopoly rents are reinvested in R&amp;D (cloud infrastructure, artificial intelligence, logistics technologies), raising the quality ­parameter <italic>λ</italic> (not to be confused with <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev><italic>λ</italic>). The cycle is reproduced when a more efficient competitor-platform emerges offering lower transaction costs — a “quality step” (<italic>γ</italic> &gt; 1) in the Aghion–Howitt terminology. Notably, platform-based “creative destruction” has a distinctive feature: the monopolistic position may be sustained not only through technological superiority but also through self-reinforcing network effects, whereby comprehensive representation of the supply side itself constitutes a form of transaction cost reduction for the demand side. Thus, the causal variables in the <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model represent the economic precursors for platformization, operationalizing the parameters of the Aghion–Howitt model (<italic>λ</italic>, <italic>L<sub>R</sub></italic>, institutional environment), while the indicators represent the observable manifestations of “creative destruction” across the three sectors of the economy. Causes capture the degree of readiness for platformization (technological and social capital), whereas indicators reflect the de facto level of technology penetration (Table <xref ref-type="table" rid="T4">4</xref>).<sup><xref ref-type="fn" rid="en4">4</xref></sup></p>
        <p>Empirical evidence from Russian retail confirms this dual mechanism: <xref ref-type="bibr" rid="B4">Andronova et al. (2021)</xref>, applying Cox proportional-hazards survival analysis to approximately 130,000 firms over 2004–2018, find that aggregator platforms raise firm survival probabilities by reducing information asymmetries, while transformer platforms lower survival probabilities through direct competitive displacement (a race for efficiency within the supply side) — both effects consistent with the Schumpeterian mechanism described above.</p>
        <p>The cause/indicator partition follows three criteria. A variable is treated as a <italic>cause</italic> if it (i) belongs to the R&amp;D or intermediate sector and entails high capital expenditure with long payback — such that its deployment precedes platform activity rather than scales with it; (ii) constitutes a natural barrier to entry with limited reusability by competing market participants, helping sustain incumbents’ near-monopolistic positions; and (iii) is technologically antecedent to platform-mediated networks. A variable is treated as a reflective <italic>indicator</italic> if it (i) belongs to the final-consumption sector, (ii) admits high competition and ease of multihoming for end users, and (iii) reflects digital-corporation development and the expansion of retail consumption.</p>
        <p>Under these criteria, fixed broadband and mobile cellular subscriptions occupy asymmetric positions despite their apparent similarity. Fixed broadband is a sunk infrastructure asset deployed by telecommunications operators in advance of household platform adoption, satisfying all three cause-criteria. Mobile subscriptions, by contrast, are a household-level expenditure that scales endogenously with platform demand, exhibits low switching costs, and reflects rather than enables platform activity. ATM density is treated analogously as a cause: it proxies for formal-banking penetration and deposit-account ownership — preconditions for digital-payment participation — rather than for the payment networks themselves. Payment networks (Visa, Mastercard, UnionPay, Mir) are themselves canonical two-sided markets (<xref ref-type="bibr" rid="B31">Rochet and Tirole, 2003</xref>) and are therefore omitted from both sides of the model: they are part of the latent construct under measurement, and including their volumes would conflate the latent variable with one of its manifestations. The same partition principle is consistent with prior latent-variable approaches to the digital economy (Brynjolfsson et al., 2023; <xref ref-type="bibr" rid="B11">Brynjolfsson and Collis, 2019</xref>; <xref ref-type="bibr" rid="B40">Watanabe et al., 2018</xref>).</p>
        <p>It is important to note that the reflective indicators are deliberately distributed across the three sectors of the Aghion–Howitt model: the R&amp;D sector (represented on the causal side — educational attainment and R&amp;D expenditure — rather than through reflective indicators), the intermediate sector (new business registrations, ICT services exports, ICT goods imports, secure servers), and the final (consumption) sector (internet access, mobile subscriptions, services employment). This diversification minimizes the likelihood of co-movement among indicators arising from sectoral shocks not mediated by the latent factor, thereby strengthening the conditional independence assumption discussed above.</p>
      </sec>
      <sec sec-type="4.2. Estimated model specification" id="sec12">
        <title>
          <italic>4.2. Estimated model specification</italic>
        </title>
        <p>The data source is the World Bank’s World Development Indicators (<abbrev xlink:title="World Bank’s World Development Indicators">WDI</abbrev>). The raw data span 2000–2024. However, the effective estimation sample covers 2000–2023, as the most recent two years are subject to substantial publication lags and incomplete coverage. Countries with ≥ 30% missing values across the estimation period were excluded, yielding a panel of 86 countries, since any imputation strategy could lead to biased <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> estimates. Grouping by region and income level follows the World Bank methodology. A detailed description of indicators and their descriptive statistics is provided in Appendix <xref ref-type="table" rid="T10">1</xref>.</p>
        <p>The colored sectors of the economy (Fig. <xref ref-type="fig" rid="F1">1</xref>) are those subject to the platformization transmission process described above. The direction of the arrows indicates whether a variable belongs to the group of causes or indicators. It is assumed that causes (R&amp;D expenditure, educational attainment, credit expansion) precede platformi­zation, with fixed broadband connectivity serving as an infrastructural precondition and regulatory quality as an institutional prerequisite. The reflective indicators, in turn, capture the degree of utilization of these preconditions (internet usage, development of the tertiary sector and technology exports by the intermediate and final sectors) in the course of platformization.</p>
        <fig id="F1">
          <object-id content-type="arpha">95F0B0D6-2DC0-594F-9665-681DF2964ED9</object-id>
          <label>Fig. 1.</label>
          <caption>
            <p><abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model specification within the “creative destruction” paradigm. </p>
            <p><italic>Source</italic>: Compiled by the authors.</p>
          </caption>
          <graphic xlink:href="rujec-12-e180870-g001.jpg" id="oo_1703522.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1703522</uri>
          </graphic>
        </fig>
      </sec>
    </sec>
    <sec sec-type="5. Results and discussion" id="sec13">
      <title>5. Results and discussion</title>
      <sec sec-type="5.1. Structural and reflective model estimates" id="sec14">
        <title>
          <italic>5.1. Structural and reflective model estimates</italic>
        </title>
        <p>The model fit statistics (Table <xref ref-type="table" rid="T5">5</xref>) indicate a good correspondence between the data and the theoretical structure of the Aghion–Howitt model. The comparative fit index (<abbrev xlink:title="comparative fit index">CFI</abbrev> = 0.984) and the Tucker–Lewis index (<abbrev xlink:title="Tucker–Lewis index">TLI</abbrev> = 0.982) substantially exceed the threshold values of 0.95 and 0.9, respectively, indicating excellent incremental fit. The normed fit index (NFI = 0.952) also confirms significant improvement over the null model. The RMSEA (0.031) satisfies the conservative Browne and Cudeck criterion (&lt; 0.05), indicating close fit. The GFI (0.952) and AGFI (0.947) provide additional confirmation of model quality. Given the multilevel nature of the data (86 countries, 24 years) and the within–between decomposition of effects, the overall fit statistics support the use of the model for examining the mechanisms of platformization through the lens of “creative destruction.”</p>
        <table-wrap id="T5" position="float" orientation="portrait">
          <label>Table 5</label>
          <caption>
            <p><abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model fit statistics.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">
                  <italic>DoF</italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>χ</italic>
                  <sup>2</sup>
                </th>
                <th rowspan="1" colspan="1">Null model <italic>χ</italic><sup>2</sup></th>
                <th rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="comparative fit index">CFI</abbrev>
                  </italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>GFI</italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>AGFI</italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>NFI</italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>
                    <abbrev xlink:title="Tucker–Lewis index">TLI</abbrev>
                  </italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>RMSEA</italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>AIC</italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>BIC</italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>LogLik</italic>
                </th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">293</td>
                <td rowspan="1" colspan="1">435.992</td>
                <td rowspan="1" colspan="1">9004.92</td>
                <td rowspan="1" colspan="1">0.984</td>
                <td rowspan="1" colspan="1">0.952</td>
                <td rowspan="1" colspan="1">0.947</td>
                <td rowspan="1" colspan="1">0.952</td>
                <td rowspan="1" colspan="1">0.982</td>
                <td rowspan="1" colspan="1">0.031</td>
                <td rowspan="1" colspan="1">58.47</td>
                <td rowspan="1" colspan="1">194.4</td>
                <td rowspan="1" colspan="1">2.77</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ calculations.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>The estimated causal coefficients (Table <xref ref-type="table" rid="T6">6</xref>) reveal a pronounced asymmetry between structural (<italic>between</italic>) and dynamic (<italic>within</italic>) effects, permitting a separation of short-run from medium- and long-run effects on platformization.</p>
        <table-wrap id="T6" position="float" orientation="portrait">
          <label>Table 6</label>
          <caption>
            <p>Structural model coefficients.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="2" colspan="1">Causes</th>
                <th rowspan="1" colspan="2">Coeff.</th>
                <th rowspan="2" colspan="1"/>
                <th rowspan="1" colspan="2">Sd. error</th>
                <th rowspan="2" colspan="1"/>
                <th rowspan="1" colspan="2">
                  <italic>z</italic>
                </th>
                <th rowspan="2" colspan="1"/>
                <th rowspan="1" colspan="1">
                  <italic>p</italic>
                </th>
                <th rowspan="1" colspan="1"/>
                <th rowspan="2" colspan="1"/>
              </tr>
              <tr>
                <th rowspan="1" colspan="1">within</th>
                <th rowspan="1" colspan="1">between</th>
                <th rowspan="1" colspan="1">within</th>
                <th rowspan="1" colspan="1">between</th>
                <th rowspan="1" colspan="1">within</th>
                <th rowspan="1" colspan="1">between</th>
                <th rowspan="1" colspan="1">within</th>
                <th rowspan="1" colspan="1">between</th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>broadband</italic>
                </td>
                <td rowspan="1" colspan="1">1.268</td>
                <td rowspan="1" colspan="1">0.329</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.143</td>
                <td rowspan="1" colspan="1">0.051</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">8.877</td>
                <td rowspan="1" colspan="1">6.495</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>credit</italic>
                </td>
                <td rowspan="1" colspan="1">–1.466</td>
                <td rowspan="1" colspan="1">6.823</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">2.606</td>
                <td rowspan="1" colspan="1">0.867</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">–0.563</td>
                <td rowspan="1" colspan="1">7.868</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.574</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>urban</italic>
                </td>
                <td rowspan="1" colspan="1">0.999</td>
                <td rowspan="1" colspan="1">0.248</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.415</td>
                <td rowspan="1" colspan="1">0.027</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">2.407</td>
                <td rowspan="1" colspan="1">9.094</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.016</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>reg_qual</italic>
                </td>
                <td rowspan="1" colspan="1">–0.107</td>
                <td rowspan="1" colspan="1">0.414</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.115</td>
                <td rowspan="1" colspan="1">0.035</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">–0.932</td>
                <td rowspan="1" colspan="1">11.755</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.351</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>bachelor</italic>
                </td>
                <td rowspan="1" colspan="1">0.653</td>
                <td rowspan="1" colspan="1">0.077</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.181</td>
                <td rowspan="1" colspan="1">0.051</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">3.614</td>
                <td rowspan="1" colspan="1">1.512</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">0.131</td>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>atm_density</italic>
                </td>
                <td rowspan="1" colspan="1">5.359</td>
                <td rowspan="1" colspan="1">1.013</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">2.479</td>
                <td rowspan="1" colspan="1">0.687</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">2.162</td>
                <td rowspan="1" colspan="1">1.474</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.031</td>
                <td rowspan="1" colspan="1">0.140</td>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>electricity</italic>
                </td>
                <td rowspan="1" colspan="1">0.600</td>
                <td rowspan="1" colspan="1">–0.031</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.255</td>
                <td rowspan="1" colspan="1">0.049</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">2.352</td>
                <td rowspan="1" colspan="1">–0.631</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.019</td>
                <td rowspan="1" colspan="1">0.528</td>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>trade</italic>
                </td>
                <td rowspan="1" colspan="1">–4.546</td>
                <td rowspan="1" colspan="1">3.822</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">4.457</td>
                <td rowspan="1" colspan="1">0.784</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">–1.020</td>
                <td rowspan="1" colspan="1">4.874</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.308</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>rnd</italic>
                </td>
                <td rowspan="1" colspan="1">0.835</td>
                <td rowspan="1" colspan="1">–1.948</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">2.151</td>
                <td rowspan="1" colspan="1">0.467</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.388</td>
                <td rowspan="1" colspan="1">–4.175</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1">0.698</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1"/>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ calculations.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Domestic credit to the private sector retains the largest <italic>between</italic>-effect (<italic>γ</italic>̂<sup><italic>B</italic></sup> = 6.823, <italic>z</italic> = 7.87, <italic>p</italic> &lt; 0.001) with a non-significant <italic>within</italic>-effect (<italic>γ</italic>̂<sup><italic>W</italic></sup> = −1.466, <italic>z</italic> = −0.56, <italic>p</italic> = 0.574), which is consistent with the Aghion–Howitt model’s emphasis­ on the importance of R&amp;D financing by the intermediate goods sector. The structural depth of the financial market, rather than its short-run fluctuations, determines an economy’s capacity to support platform investments, which are characterized by long payback periods and high initial costs (infrastructure development, attainment of critical user mass). This may, in particular, explain the interest of international investors in platforms in emerging markets, whose financing may to some extent substitute for insufficient domestic credit (e.g., India’s Jio Platforms, whose largest shareholders include U.S.-based <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev>, as well as Southeast Asian platforms such as Shopee, Grab, and GoTo, which have actively attracted Western venture capital).</p>
        <p>Fixed broadband internet access exhibits significant effects in both dimensions: a dominant <italic>within</italic>-effect (<italic>γ</italic>̂<sup><italic>W</italic></sup> = 1.268, <italic>z</italic> = 8.88, <italic>p</italic> &lt; 0.001) and a significant <italic>between</italic>-effect (<italic>γ</italic>̂<sup><italic>B</italic></sup> = 0.329, <italic>z</italic> = 6.49, <italic>p</italic> &lt; 0.001). This variable serves as a determinant of the digital infrastructure of platformization: the expansion of broadband access within a country directly increases the potential for platform-mediated interactions by providing the bandwidth necessary for cloud computing, data processing, and multimedia services. The significance of both effects indicates that broadband access is a factor of both dynamic transformation and structural cross-country differences, unlike mobile connectivity.</p>
        <p>Regulatory quality exhibits the largest <italic>between</italic>-effect among institutional variables (<italic>γ</italic>̂<sup><italic>B</italic></sup> = 0.414, <italic>z</italic> = 11.76, <italic>p</italic> &lt; 0.001) with a non-significant <italic>within</italic>-effect (<italic>γ</italic>̂<sup><italic>W</italic></sup> = −0.107, <italic>z</italic> = −0.93, <italic>p</italic> = 0.351), which is indicative of institutional inertia: the rule of law, which reduces transaction costs in two-sided markets, is a charac­teristic of long-run structural differences among countries. The internal and external lags of short-run regulatory changes do not exert a significant effect on platformization. Regulatory quality here serves as a proxy for social development more broadly, which in the long run plays a significant role in platformization.</p>
        <p>Urbanization is significant in both dimensions: the <italic>within</italic>-effect (<italic>γ</italic>̂<sup><italic>W</italic></sup> = 0.999, <italic>z</italic> = 2.41, <italic>p</italic> = 0.016) and the <italic>between</italic>-effect (<italic>γ</italic>̂<sup><italic>B</italic></sup> = 0.248, <italic>z</italic> = 9.09, <italic>p</italic> &lt; 0.001). This reflects the role of physical infrastructure: urban agglomerations concentrate human capital, provide the critical mass of users necessary for two-sided markets, and reduce coordination costs. The significant <italic>within</italic>-effect indicates that ongoing urbanization within a country catalyzes platformization.</p>
        <p>Trade openness has a significant <italic>between</italic>-effect (<italic>γ</italic>̂<sup><italic>B</italic></sup> = 3.822, <italic>z</italic> = 4.87, <italic>p</italic> &lt; 0.001) with a non-significant <italic>within</italic>-effect (<italic>γ</italic>̂<sup><italic>W</italic></sup> = −4.546, <italic>z</italic> = −1.02, <italic>p</italic> = 0.308). Integration into global value chains thus serves as a structural condition for platformization: countries with historically high trade openness possess the infrastructure for cross-border platform interactions (logistics systems, payment gateways, regulatory compatibility). Short-run fluctuations in trade volumes, whether cyclical or conjunctural, are not associated with the dynamics of platformization.</p>
        <p>The share of the population with tertiary education exhibits a significant <italic>within</italic>-effect (<italic>γ</italic>̂<sup><italic>W</italic></sup> = 0.653, <italic>z</italic> = 3.61, <italic>p</italic> &lt; 0.001) with a non-significant <italic>between</italic>-effect (<italic>γ</italic>̂<italic><sup>B</sup></italic> = 0.077, <italic>z</italic> = 1.51, <italic>p</italic> = 0.131). This result suggests that the accumulation of human capital within a country is more important for platformization than the average level of education over the entire period, which is consistent with the concept of endogenous growth.</p>
        <p>ATM density, serving as a proxy for offline-to-online financial access, is significant via the <italic>within</italic>-effect (<italic>γ</italic>̂<sup><italic>W</italic></sup> = 5.359, <italic>z</italic> = 2.16, <italic>p</italic> = 0.031) with a non-significant <italic>between</italic>-effect (<italic>γ</italic>̂<sup><italic>B</italic></sup> = 1.013, <italic>z</italic> = 1.47, <italic>p</italic> = 0.140). The expansion of physical financial infrastructure within a country is associated with platformization: an increase in financial access points facilitates the population’s connection to digital payment systems, forming a “bridge” between traditional and digital financial intermediation. The non-significance of the <italic>between</italic>-effect may be attributable to the fact that in developed economies, physical financial infrastructure is being superseded by digital infrastructure, and the role of ATMs exhibits a nonlinear relationship with the level of development.</p>
        <p>Access to electricity is significant via the <italic>within</italic>-effect (<italic>γ</italic>̂<italic><sup>W</sup></italic> = 0.600, <italic>z</italic> = 2.35, <italic>p</italic> = 0.019) with a non-significant <italic>between</italic>-effect (<italic>γ</italic>̂<italic><sup>B</sup></italic> = −0.031, <italic>z</italic> = −0.63, <italic>p</italic> = 0.528). This result underscores the threshold nature of basic infrastructure: the expansion of electrification within developing countries creates a necessary precondition for the functioning of digital platforms. The non-significance of the <italic>between</italic>-effect is explicable by the fact that for countries that have already achieved full electrical coverage, this factor ceases to be differentiating.</p>
        <p>R&amp;D expenditure exhibits a negative <italic>between</italic>-effect (<italic>γ</italic>̂<sup><italic>B</italic></sup> = −1.948, <italic>z</italic> = −4.18, <italic>p</italic> &lt; 0.001) with a non-significant <italic>within</italic>-effect (<italic>γ</italic>̂<italic><sup>W</sup></italic> = 0.835, <italic>z</italic> = 0.39, <italic>p</italic> = 0.698). The positive sign of the within-coefficient is consistent with the Aghion–Howitt prediction that R&amp;D investment promotes innovation, but the effect is estimated imprecisely, likely owing to the slow-moving nature of R&amp;D expenditure within the panel’s time dimension. The negative between-effect reflects an asymmetry in the global platform economy: R&amp;D is concentrated in a small number of DMP-exporting countries (principally the United States and China, and to a lesser extent Israel, South Korea, and selected European economies), whereas platformization diffuses globally through the adoption of foreign platform models. Countries with lower average R&amp;D intensity exhibit higher platformization precisely because they are technology recipients rather than originators: the presence of dominant foreign <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> — whose competitive advantages rest on R&amp;D conducted elsewhere — crowds out the domestic incentive to invest in platform-related innovation. This mechanism is analogous to the center–periphery dynamic described in the dependency literature: the R&amp;D rents accrue to the originating economy, while the recipient economy absorbs the platform model without internalizing the associated innovation capacity. The robustness of the negative sign under bootstrap (the 95% confidence interval lies entirely below zero) supports the interpretation as a structural feature of the global platform economy rather than a statistical artifact.</p>
        <p>The indicator-variable estimates (Table <xref ref-type="table" rid="T7">7</xref>) reveal varying degrees of association between platformization and sectors of the economy, consistent with the three-sector structure of the Aghion–Howitt model.</p>
        <table-wrap id="T7" position="float" orientation="portrait">
          <label>Table 7</label>
          <caption>
            <p>Reflective model coefficients.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">Indicator</th>
                <th rowspan="1" colspan="1">Coeff.</th>
                <th rowspan="1" colspan="1">Sd. error</th>
                <th rowspan="1" colspan="1">
                  <italic>z</italic>
                </th>
                <th rowspan="1" colspan="1">
                  <italic>p</italic>
                </th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>internet</italic>
                </td>
                <td rowspan="1" colspan="1">1.000</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">–</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>serv_empl</italic>
                </td>
                <td rowspan="1" colspan="1">0.638</td>
                <td rowspan="1" colspan="1">0.029</td>
                <td rowspan="1" colspan="1">21.717</td>
                <td rowspan="1" colspan="1">0</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>servers</italic>
                </td>
                <td rowspan="1" colspan="1">0.119</td>
                <td rowspan="1" colspan="1">0.005</td>
                <td rowspan="1" colspan="1">21.695</td>
                <td rowspan="1" colspan="1">0</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>new_biz</italic>
                </td>
                <td rowspan="1" colspan="1">0.122</td>
                <td rowspan="1" colspan="1">0.010</td>
                <td rowspan="1" colspan="1">11.696</td>
                <td rowspan="1" colspan="1">0</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>mobile</italic>
                </td>
                <td rowspan="1" colspan="1">0.003</td>
                <td rowspan="1" colspan="1">0.000</td>
                <td rowspan="1" colspan="1">7.759</td>
                <td rowspan="1" colspan="1">0</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>ict_import</italic>
                </td>
                <td rowspan="1" colspan="1">0.051</td>
                <td rowspan="1" colspan="1">0.012</td>
                <td rowspan="1" colspan="1">4.442</td>
                <td rowspan="1" colspan="1">0</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>ict_export</italic>
                </td>
                <td rowspan="1" colspan="1">0.014</td>
                <td rowspan="1" colspan="1">0.027</td>
                <td rowspan="1" colspan="1">0.522</td>
                <td rowspan="1" colspan="1">0.602</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ calculations.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Service sector employment has the largest factor loading (<italic>λ</italic>̂ = 0.638, <italic>z</italic> = 21.7, <italic>p</italic> &lt; 0.001), which supports the hypothesis of structural economic transformation through the mechanism of creative destruction (<xref ref-type="bibr" rid="B3">Aghion and Howitt, 1992</xref>): by reducing transaction costs in the tertiary sector (logistics, finance, media, education), platforms expand service sector employment, displacing less efficient organizational forms through Schumpeterian competition.</p>
        <p>The number of secure internet servers (<italic>λ</italic>̂ = 0.119, <italic>z</italic> = 21.7, <italic>p</italic> &lt; 0.001) reflects the infrastructure component of platformization: the development of <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> is underpinned by cloud infrastructure and computing scaling. New business registrations (<italic>λ</italic>̂ = 0.122, <italic>z</italic> = 11.7, <italic>p</italic> &lt; 0.001) also exhibit a significant but moderate association, which may point to the dual influence of platforms on entrepreneurship: while lowering barriers to entry, platforms simultaneously intensify competitive pressure through network externalities on the supply side.</p>
        <p>ICT goods imports (<italic>λ</italic>̂ = 0.051, <italic>z</italic> = 4.44, <italic>p</italic> &lt; 0.001) are significant, whereas ICT services exports (<italic>λ</italic>̂ = 0.014, <italic>z</italic> = 0.52, <italic>p</italic> = 0.602) are not. This asymmetry is substantively meaningful: platformization is primarily associated with the consumption of digital technologies rather than their production. Countries that consume <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> (without possessing national <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> but with significant penetration of foreign counterparts) may exhibit high platformization without substantial ICT exports.</p>
        <p>Mobile connectivity (<italic>λ</italic>̂ = 0.003, <italic>z</italic> = 7.76, <italic>p</italic> &lt; 0.001), while significant, has the smallest factor loading, suggesting proximity to saturation: the indicator dif­ferentiates countries less than in prior periods, by analogy with access to electricity.</p>
      </sec>
      <sec sec-type="5.2. Country-level estimates" id="sec15">
        <title>
          <italic>5.2. Country-level estimates</italic>
        </title>
        <p>The population-based model results reported above are translated into monetary terms by multiplying by the share of household final consumption in GDP — under the assumption that all households contribute to this share in equal proportion (an assumption adopted for the purposes of computing the monetary indicator). The analysis of platformization dynamics by geographic group (Table <xref ref-type="table" rid="T8">8</xref>, Fig. <xref ref-type="fig" rid="F2">2</xref>) reveals both a tendency toward relative convergence among regions and persistent inequality between countries by income group.</p>
        <table-wrap id="T8" position="float" orientation="portrait">
          <label>Table 8</label>
          <caption>
            <p>Country-level platformization estimates by geography and income level (ratio of B2C consumption in GDP).</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1"/>
                <th rowspan="1" colspan="1">2010</th>
                <th rowspan="1" colspan="1">2011</th>
                <th rowspan="1" colspan="1">2012</th>
                <th rowspan="1" colspan="1">2013</th>
                <th rowspan="1" colspan="1">2014</th>
                <th rowspan="1" colspan="1">2015</th>
                <th rowspan="1" colspan="1">2016</th>
                <th rowspan="1" colspan="1">2017</th>
                <th rowspan="1" colspan="1">2018</th>
                <th rowspan="1" colspan="1">2019</th>
                <th rowspan="1" colspan="1">2020</th>
                <th rowspan="1" colspan="1">2021</th>
                <th rowspan="1" colspan="1">2022</th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Region</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">EAS</td>
                <td rowspan="1" colspan="1">21.15</td>
                <td rowspan="1" colspan="1">26.16</td>
                <td rowspan="1" colspan="1">24.2</td>
                <td rowspan="1" colspan="1">15.15</td>
                <td rowspan="1" colspan="1">19.08</td>
                <td rowspan="1" colspan="1">27.23</td>
                <td rowspan="1" colspan="1">18.06</td>
                <td rowspan="1" colspan="1">24.85</td>
                <td rowspan="1" colspan="1">17.72</td>
                <td rowspan="1" colspan="1">27.19</td>
                <td rowspan="1" colspan="1">26.09</td>
                <td rowspan="1" colspan="1">35.84</td>
                <td rowspan="1" colspan="1">–</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="Europe and Central Asia">ECS</abbrev>
                </td>
                <td rowspan="1" colspan="1">12.74</td>
                <td rowspan="1" colspan="1">15.8</td>
                <td rowspan="1" colspan="1">19.6</td>
                <td rowspan="1" colspan="1">24.97</td>
                <td rowspan="1" colspan="1">27.53</td>
                <td rowspan="1" colspan="1">27.19</td>
                <td rowspan="1" colspan="1">28.38</td>
                <td rowspan="1" colspan="1">31.09</td>
                <td rowspan="1" colspan="1">31.99</td>
                <td rowspan="1" colspan="1">33.4</td>
                <td rowspan="1" colspan="1">35.27</td>
                <td rowspan="1" colspan="1">35.95</td>
                <td rowspan="1" colspan="1">36.98</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LCN</td>
                <td rowspan="1" colspan="1">8.34</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">4.02</td>
                <td rowspan="1" colspan="1">13.37</td>
                <td rowspan="1" colspan="1">18.27</td>
                <td rowspan="1" colspan="1">18.40</td>
                <td rowspan="1" colspan="1">22.26</td>
                <td rowspan="1" colspan="1">21.19</td>
                <td rowspan="1" colspan="1">26.02</td>
                <td rowspan="1" colspan="1">23.37</td>
                <td rowspan="1" colspan="1">30.20</td>
                <td rowspan="1" colspan="1">45.68</td>
                <td rowspan="1" colspan="1">–</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">MEA</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">0.51</td>
                <td rowspan="1" colspan="1">15.86</td>
                <td rowspan="1" colspan="1">17.45</td>
                <td rowspan="1" colspan="1">29.81</td>
                <td rowspan="1" colspan="1">19.79</td>
                <td rowspan="1" colspan="1">31.14</td>
                <td rowspan="1" colspan="1">24.67</td>
                <td rowspan="1" colspan="1">30.00</td>
                <td rowspan="1" colspan="1">24.52</td>
                <td rowspan="1" colspan="1">31.57</td>
                <td rowspan="1" colspan="1">20.17</td>
                <td rowspan="1" colspan="1">33.67</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">SAS</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">0.49</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">2.60</td>
                <td rowspan="1" colspan="1">2.00</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">3.16</td>
                <td rowspan="1" colspan="1">5.59</td>
                <td rowspan="1" colspan="1">9.00</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">–</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="Sub-Saharan Africa">SSF</abbrev>
                </td>
                <td rowspan="1" colspan="1">3.43</td>
                <td rowspan="1" colspan="1">10.82</td>
                <td rowspan="1" colspan="1">12.64</td>
                <td rowspan="1" colspan="1">17.07</td>
                <td rowspan="1" colspan="1">9.26</td>
                <td rowspan="1" colspan="1">8.34</td>
                <td rowspan="1" colspan="1">14.63</td>
                <td rowspan="1" colspan="1">17.37</td>
                <td rowspan="1" colspan="1">29.86</td>
                <td rowspan="1" colspan="1">17.81</td>
                <td rowspan="1" colspan="1">34.26</td>
                <td rowspan="1" colspan="1">37.12</td>
                <td rowspan="1" colspan="1">38.36</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">income Level</td>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
                <td rowspan="1" colspan="1"/>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="high-income countries">HIC</abbrev>
                </td>
                <td rowspan="1" colspan="1">21.37</td>
                <td rowspan="1" colspan="1">23.09</td>
                <td rowspan="1" colspan="1">23.07</td>
                <td rowspan="1" colspan="1">27.64</td>
                <td rowspan="1" colspan="1">28.23</td>
                <td rowspan="1" colspan="1">28.42</td>
                <td rowspan="1" colspan="1">30.66</td>
                <td rowspan="1" colspan="1">33.70</td>
                <td rowspan="1" colspan="1">33.47</td>
                <td rowspan="1" colspan="1">35.26</td>
                <td rowspan="1" colspan="1">35.81</td>
                <td rowspan="1" colspan="1">37.16</td>
                <td rowspan="1" colspan="1">37.72</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="low-income countries">LIC</abbrev>
                </td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">0.11</td>
                <td rowspan="1" colspan="1">0.24</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">2.23</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">3.82</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">–</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LMC</td>
                <td rowspan="1" colspan="1">0</td>
                <td rowspan="1" colspan="1">0.50</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">4.54</td>
                <td rowspan="1" colspan="1">–</td>
                <td rowspan="1" colspan="1">3.81</td>
                <td rowspan="1" colspan="1">4.08</td>
                <td rowspan="1" colspan="1">5.24</td>
                <td rowspan="1" colspan="1">13.32</td>
                <td rowspan="1" colspan="1">13.82</td>
                <td rowspan="1" colspan="1">9.00</td>
                <td rowspan="1" colspan="1">15.41</td>
                <td rowspan="1" colspan="1">–</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="upper-middle-income countries">UMC</abbrev>
                </td>
                <td rowspan="1" colspan="1">6.53</td>
                <td rowspan="1" colspan="1">9.55</td>
                <td rowspan="1" colspan="1">11.50</td>
                <td rowspan="1" colspan="1">10.84</td>
                <td rowspan="1" colspan="1">17.72</td>
                <td rowspan="1" colspan="1">18.57</td>
                <td rowspan="1" colspan="1">20.12</td>
                <td rowspan="1" colspan="1">23.09</td>
                <td rowspan="1" colspan="1">25.28</td>
                <td rowspan="1" colspan="1">26.47</td>
                <td rowspan="1" colspan="1">28.22</td>
                <td rowspan="1" colspan="1">32.87</td>
                <td rowspan="1" colspan="1">34.87</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ calculations.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <fig id="F2">
          <object-id content-type="arpha">EA40659F-BB82-547E-A30A-9A76A5B53CD4</object-id>
          <label>Fig. 2.</label>
          <caption>
            <p>Platformization trend by income group and geography. </p>
            <p><italic>Note</italic>: Population-based <italic>η</italic> corresponds to (1.2) — population-based platformization, GDP-based ratio is calculated using B2C share as in (1.1). <italic>Source</italic>: Authors’ calculations.</p>
          </caption>
          <graphic xlink:href="rujec-12-e180870-g002.jpg" id="oo_1703523.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1703523</uri>
          </graphic>
        </fig>
        <p>A methodological caveat is warranted regarding the translation of population-based estimates into monetary terms. The latent variable <italic>η</italic>, calibrated with Λ1 = 1 against the share of the population using the internet, captures the breadth of potential platform engagement rather than the intensity of platform-mediated transactions. Multiplying <italic>η</italic> by the share of household final consumption in GDP yields an upper-bound estimate of the monetary platformization ratio: it implicitly­ assumes that all digitally engaged individuals transact through platforms, and that their platform expenditure is proportional to average household consumption. Both assumptions are strong. Accordingly, the population-based <italic>η</italic> should be regarded as the primary output of the model, while the monetary estimates in Table <xref ref-type="table" rid="T8">8</xref> serve an illustrative and benchmarking function. For calibration against the literature, the monetary estimates for high-income countries (median ≈ 37% in 2022) should be interpreted as an upper envelope; the point estimates in Table <xref ref-type="table" rid="T3">3</xref> (median ≈ 7.2%) likely correspond to a fraction of <italic>η</italic> that reflects active, regular platform use rather than potential coverage. The ratio of these two figures (≈ 0.19) suggests that approximately one-fifth of the digitally connected population in high-income countries engages in regular platform-mediated consumption — a proportion broadly consistent with OECD survey data on online purchasing frequency.</p>
        <p>All country groups for which estimates are inferred exhibit growth in the median value of the platformization (population-based ratio) from 2000 to 2023: high-income countries (<abbrev xlink:title="high-income countries">HIC</abbrev>) — from 48.41 to 76.14 (+57%), upper-middle-income countries (<abbrev xlink:title="upper-middle-income countries">UMC</abbrev>) — from 9.02 to 54.67 (+506%). Missing values for certain groups are attributable either to the absence of consumption data in the GDP structure in <abbrev xlink:title="World Bank’s World Development Indicators">WDI</abbrev> or to an excessively high share of missing values; the convergence conclusions presented below should be regarded as preliminary for these groups. The <abbrev xlink:title="upper-middle-income countries">UMC</abbrev> group exhibits substantially higher growth rates than <abbrev xlink:title="high-income countries">HIC</abbrev>, which is consistent with the hypothesis of conditional <italic>β</italic>-convergence: controlling for structural determinants (financial depth, institutional quality), countries with lower initial levels of platformization grow faster. Nevertheless, the absolute gap persists: the <abbrev xlink:title="high-income countries">HIC</abbrev> median in 2023 (76.14) exceeds the <abbrev xlink:title="upper-middle-income countries">UMC</abbrev> median (54.67) by 39%, which constitutes evidence against absolute convergence. The apparent decline in the EAS indicator visible in Fig. <xref ref-type="fig" rid="F2">2</xref> reflects the entry of new countries into the dataset and constitutes a compositional artifact, not a genuine reversal.</p>
        <p>Within-group differentiation reveals heterogeneous dispersion dynamics. For <abbrev xlink:title="high-income countries">HIC</abbrev>, the interpercentile range of the population-based ratio (p10–p90) narrowed from 29.45 (2000) to 27.34 (2023), which may constitute preliminary evidence of <italic>σ</italic>-convergence, although a more rigorous test would require the coefficient of variation, a measure less sensitive to outliers. For <abbrev xlink:title="upper-middle-income countries">UMC</abbrev>, the range widened from 6.26 to 12.54, indicating increasing within-group heterogeneity as platformization proceeds: some countries in this group (e.g., China, Turkey, Brazil) have undergone a structural leap, while others (e.g., several countries in Central Asia and North Africa) have lagged substantially behind, which may be determined by initial institutional conditions.</p>
        <p>Regional dynamics exhibit analogous tendencies. Europe and Central Asia (<abbrev xlink:title="Europe and Central Asia">ECS</abbrev>) show median growth from 22.16 to 68.93 (+211%), and Sub-Saharan Africa (<abbrev xlink:title="Sub-Saharan Africa">SSF</abbrev>) — from 5.49 to 57.45 (+946%). The narrowing of the interpercentile range in <abbrev xlink:title="Sub-Saharan Africa">SSF</abbrev> from 8.79 to 4.45, concurrent with a substantial increase in absolute values, formally suggests features of <italic>σ</italic>-convergence within the group; however, it should be noted that the majority of observations are accounted for by a single country (South Africa). This result must be interpreted with caution, as the composition of countries with adequate data coverage differs between periods, which may generate an artifact of dispersion compression through the exit of the most lagging countries from the panel. For <abbrev xlink:title="Europe and Central Asia">ECS</abbrev>, the range widened from 29.38 to 37.64, reflecting growing polarization between Western and Eastern European economies, apparently amplified by differences in institutional quality and financial market depth.</p>
        <p>The persistently low dynamics of low-income countries (<abbrev xlink:title="low-income countries">LIC</abbrev>) are associated with the dominance of between-effects in the estimated model: the structural depth of the financial market (<italic>β</italic>̂<italic><sup>B</sup></italic> = 6.823), institutional quality (<italic>β</italic>̂<italic><sup>B</sup></italic> = 0.414), and trade openness (<italic>β</italic>̂<italic><sup>B</sup></italic> = 3.822) — variables on which <abbrev xlink:title="low-income countries">LIC</abbrev> systematically lag behind other groups — determine cross-country differences in platformization. We emphasize that this interpretation is associative in character. Nevertheless, the result is consistent with the theoretical prediction of institutional complementarity (<xref ref-type="bibr" rid="B1">Acemoglu, 2009</xref>): improvement of individual infrastructure components (e.g., electrification, <italic>β</italic>̂<italic><sup>W</sup></italic> = 0.600) may prove insufficient without accompanying systemic transformations of the financial and regulatory environment, as indicated by the non-significance of the within-effects of credit (<italic>p</italic> = 0.574) and regulation (<italic>p</italic> = 0.351).</p>
        <p>Thus, the trajectory of platformization exhibits signs of conditional convergence: controlling for structural determinants, growth rates are inversely related to the initial level, yet absolute gaps between income groups persist, reproducing a pattern characteristic of technology diffusion under institutional heterogeneity. Platformization, unlike a generalized measure of economic growth, exhibits a more pronounced dependence on digital infrastructure (the <italic>within</italic>-effect of broadband access, <italic>β</italic>̂<italic><sup>W</sup></italic> = 1.268) and financial depth (the <italic>between</italic>-effect of credit), which preserves the specificity of the construct and distinguishes it from the general­ level of development.</p>
      </sec>
      <sec sec-type="5.3. Robustness checks" id="sec16">
        <title>
          <italic>5.3. Robustness checks</italic>
        </title>
        <p>Two procedures are employed to assess the stability of the results: bootstrap analysis (500 iterations) and leave-one-country-out analysis (86 iterations).</p>
        <p>The results of bootstrap analysis permit the classification of structural parameters­ into three groups by degree of stability (Table <xref ref-type="table" rid="T9">9</xref>, Fig. <xref ref-type="fig" rid="F3">3</xref>).</p>
        <table-wrap id="T9" position="float" orientation="portrait">
          <label>Table 9</label>
          <caption>
            <p>Bootstrap analysis of fit statistics.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">Parameter</th>
                <th rowspan="1" colspan="1">Mean</th>
                <th rowspan="1" colspan="1">Median</th>
                <th rowspan="1" colspan="1">95% c.i.</th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="comparative fit index">CFI</abbrev>
                </td>
                <td rowspan="1" colspan="1">0.968</td>
                <td rowspan="1" colspan="1">0.969</td>
                <td rowspan="1" colspan="1">[0.942, 0.986]</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <abbrev xlink:title="Tucker–Lewis index">TLI</abbrev>
                </td>
                <td rowspan="1" colspan="1">0.963</td>
                <td rowspan="1" colspan="1">0.965</td>
                <td rowspan="1" colspan="1">[0.934, 0.984]</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">RMSEA</td>
                <td rowspan="1" colspan="1">0.066</td>
                <td rowspan="1" colspan="1">0.066</td>
                <td rowspan="1" colspan="1">[0.048, 0.088]</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Authors’ calculations.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <fig id="F3">
          <object-id content-type="arpha">C805867D-B5A9-5D16-B25E-0FF37DBE2B0D</object-id>
          <label>Fig. 3.</label>
          <caption>
            <p>Bootstrap analysis of structural and reflective model coefficients. </p>
            <p><italic>Source</italic>: Authors’ calculations.</p>
          </caption>
          <graphic xlink:href="rujec-12-e180870-g003.jpg" id="oo_1703524.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1703524</uri>
          </graphic>
        </fig>
        <p>The <italic>robust core</italic> comprises five causal variables that retain significance under resampling: domestic credit, broadband access, regulatory quality, urbanization, and R&amp;D expenditure. Notably, this set represents the subset of point-estimate significant variables (see Table <xref ref-type="table" rid="T6">6</xref>) that survives resampling — the within-effects of tertiary education, ATM density, and electricity do not — which provides evidence in favor of a substantive, rather than statistical, origin for the identified associations. The negative sign of <italic>γ</italic>̂<italic><sub>rnd</sub></italic> is robust to resampling — the confidence interval lies entirely in the negative domain — which supports the crowding-out interpretation: R&amp;D investment is concentrated in a small number of DMP-exporting economies, while the platform functionality scales to recipient countries where domestic R&amp;D incentives are correspondingly diminished. At the same time, the width of the confidence interval for credit indicates substantial sensitivity of this estimate to sample composition, which is to be expected given the heterogeneity of financial systems across country groups; the same applies to trade openness.</p>
        <p><italic>Borderline variables</italic> — trade openness and tertiary education — are characterized by confidence intervals that marginally cross zero. For trade openness, the bootstrap median (2.74) remains substantively meaningful given a point estimate <italic>z</italic> = 4.87, and the loss of significance may be attributable to mechanism heterogeneity: the influence of trade integration on platformization varies substantially depending on the structure of trade (commodity exports versus integration into technology-intensive value chains). For tertiary education, the non-significance is likely attributable to differences in the character of higher education across countries.</p>
        <p><italic>Unstable variables</italic> — ATM density and access to electricity — are characterized by weak relationship with DMP development. ATM density exhibits the greatest instability among all parameters: the sign divergence between the mean (+0.01) and the median (−0.04) suggests a weak relationship between platform-based financial systems and national financial infrastructure. Access to electricity also loses significance, consistent with the threshold character of this factor: for the countries in the sample, the variation in electrification may be insufficient for stable identification of the effect, representing a sine qua non condition.</p>
        <p>The reflective model demonstrates sound stability: five of seven indicators retain significance. Service sector employment, secure servers, and new business registrations exhibit narrow confidence intervals, confirming their informativeness as manifestations of the latent variable. Mobile connectivity, despite its small absolute loading, is significant — the interval does not include zero. The non-significance of ICT exports is robust: a symmetric interval around zero verifies the conclusion above that platformization is predominantly associated with the consumption, rather than the production, of digital technologies. ICT imports lose significance: the lower bound of the interval is essentially zero, classifying this indicator as borderline. Substantively, this may reflect the substitution of physical ICT equipment imports by cloud services as platform infrastructure develops.</p>
        <p>Model fit statistics are robust to resampling: the median values of <abbrev xlink:title="comparative fit index">CFI</abbrev> (0.969) and <abbrev xlink:title="Tucker–Lewis index">TLI</abbrev> (0.965) exceed the thresholds for adequate fit even at the lower bounds of their confidence intervals (0.942 and 0.934, respectively). The median RMSEA (0.066) exceeds the point estimate of the main model (0.031) and slightly exceeds the conservative criterion.</p>
        <p>Leave-one-country-out (<abbrev xlink:title="leave-one-country-out">LOCO</abbrev>) analysis (Fig. <xref ref-type="fig" rid="F4">4</xref>) indicates stability of the model’s­ conclusions under the exclusion of individual countries, with South Africa emerging as noteworthy: as the only large economy in the <abbrev xlink:title="Sub-Saharan Africa">SSF</abbrev> group with adequate data coverage, its dominance in the regional sample limits the conclusions’ generalization regarding convergence within Sub-Saharan Africa. Nevertheless, no single country destabilizes the model as a whole, which constitutes evidence in favor of the substantive interpretability of the model.</p>
        <fig id="F4">
          <object-id content-type="arpha">3B0E9836-F077-5428-B223-53A40EECB0C5</object-id>
          <label>Fig. 4.</label>
          <caption>
            <p>Leave-one-country-out analysis results. </p>
            <p><italic>Source</italic>: Authors’ calculations.</p>
          </caption>
          <graphic xlink:href="rujec-12-e180870-g004.jpg" id="oo_1703525.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1703525</uri>
          </graphic>
        </fig>
      </sec>
      <sec sec-type="5.4. Discussion" id="sec17">
        <title>
          <italic>5.4. Discussion</italic>
        </title>
        <p>The <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> estimates situate the present study within the existing literature along three axes.</p>
        <p><italic>First, the synchronization of monetary estimates</italic>. For high-income countries the model yields a median ratio (≈ 37%) marginally above the <xref ref-type="bibr" rid="B41">World Bank’s (2023)</xref> 31%. For Russia, however, the model-implied monetary share (≈ 34.5%) substantially exceeds the survey-based 5.5% reported by <xref ref-type="bibr" rid="B24">Kuzminov et al. (2025b)</xref> and the 4% in <xref ref-type="bibr" rid="B20">Kapelyushnikov and Zinchenko (2025)</xref>. The discrepancy­ is the most substantively interesting result of the cross-country exercise: the Russian platform economy as a share of household consumption may be materially underestimated by survey-based methods, possibly owing to ­underreporting on the supply side and to the exclusion of attention-market and infrastructure-mediated activity from existing operationalizations or by focusing on rigid platform occupation.</p>
        <p><italic>Second, the negative R&amp;D between-effect</italic>. The robust negative coefficient on R&amp;D expenditure (<italic>γ</italic>̂<italic><sup>B</sup></italic> = –1.95) does not contradict the existing view that <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> are associated with technologically advanced firms; rather, it qualifies that view by indicating that innovation rents accrue predominantly to the country of origin. For recipient economies, the presence of foreign <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> may exert direct competitive pressure on domestic R&amp;D incentives and indirect pressure through the displacement of skilled labor toward platform-operated low- and mid-skill employment. The greatest economic gain from platformization — a point frequently underemphasized in the literature — accrues to the originator, not to the adopter.</p>
        <p><italic>Third, methodological contribution</italic>. The application of a Mundlak decomposition within a <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> specification, to our knowledge novel in the platformization literature, separates structural cross-country differences from within-country dynamics. The result is the empirical isolation of two distinct regimes: long-run platformization is governed primarily by financial depth, institutional quality, and trade openness, while short-run platformization responds to broadband expansion, urbanization, and human capital accumulation.</p>
      </sec>
    </sec>
    <sec sec-type="6. Conclusion" id="sec18">
      <title>6. Conclusion</title>
      <p>Thi s study applies a <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> model to estimate platformization for 86 countries over the period 2000–2023, using the World Bank’s World Development Indicators within the theoretical framework of the Aghion–Howitt endogenous growth model. The results support the initial hypothesis that <abbrev xlink:title="Digital multi-sided platforms">DMPs</abbrev> are characterized by common cross-country determinants that are identifiable through structural modeling.</p>
      <p>The Mundlak decomposition reveals a pronounced asymmetry between short-run (<italic>within</italic>) and long-run (<italic>between</italic>) effects. The robust core of the model comprises five structural determinants: financial market depth (the largest <italic>between</italic>-effect, <italic>γ</italic>̂<italic><sup>B</sup></italic> = 6.82), regulatory quality (<italic>γ</italic>̂<sup><italic>B</italic></sup> = 0.41), broadband access (significant in both dimensions, <italic>γ</italic>̂<sup><italic>W</italic></sup> = 1.27), urbanization (<italic>γ</italic>̂<sup><italic>W</italic></sup> = 1.00, <italic>γ</italic>̂<italic><sup>B</sup></italic> = 0.25), and R&amp;D expenditure. The latter exhibits a robust negative between-effect (<italic>γ</italic>̂<sup><italic>B</italic></sup> = −1.95), interpreted as a crowding-out effect: the global platform economy is characterized by an asym­metry whereby R&amp;D is concentrated in a small number of DMP-exporting count­ries, while recipient economies adopt foreign platform models without internaliz­ing the associated innovation capacity. Platform investment in recipient countries is financed primarily through credit and venture capital channels, as captured by the domestic credit variable. The reflective model confirms the three-sector structure of platformization manifestations: internet access, mobile­ connectivity, and service employment (final/consumption sector), and new business registrations and secure servers (intermediate sector), the R&amp;D sector being represented on the causal side rather than through reflective indicators. The non-significance of ICT services exports, robust to resampling, indicates that platformization is predominantly associated with the consumption of digital technologies rather than their production.</p>
      <p>Country-level estimates reveal signs of conditional <italic>β</italic>-convergence: the upper-middle-income group (<abbrev xlink:title="upper-middle-income countries">UMC</abbrev>) exhibits platformization growth rates substantially exceeding those of high-income countries (<abbrev xlink:title="high-income countries">HIC</abbrev>), yet the absolute gap between groups persists (39% by median in 2023), constituting evidence against absolute convergence. The dominance of <italic>between</italic>-effects (financial depth, institutional quality, trade openness) in accounting for cross-country differences points to the significance of institutional complementarity: isolated improvement of individual infrastructure components (electrification, mobile connectivity expansion) is associated with limited impact on platformization in the absence of accompanying structural conditions — as indicated by the non-significance of the <italic>within</italic>-effects of credit and regulation. The increasing within-group heterogeneity of <abbrev xlink:title="upper-middle-income countries">UMC</abbrev> (widening of the interpercentile range from 6.26 to 12.54) is consistent with the club convergence hypothesis, under which trajectories are determined by initial institutional conditions.</p>
      <p>The results yield preliminary, associative conclusions for regulatory practice. First, the non-significance of short-run regulatory changes (<italic>p<sub>within</sub></italic> = 0.351), juxta­posed with the highest between-significance of institutional quality (<italic>z</italic> = 11.76), points to the limited effectiveness of <italic>ad hoc</italic> regulation of platform markets: the stability of the institutional environment appears to matter more than the frequency of regulatory interventions (Avdasheva and Geliskhanov, 2025). Second, the significance of broadband access in both dimensions (<italic>γ</italic>̂<italic><sup>W</sup></italic> = 1.27, <italic>γ</italic>̂<italic><sup>B</sup></italic> = 0.33) — a property shared only with urbanization (<italic>γ</italic>̂<italic><sup>W</sup></italic> = 1.00, <italic>γ</italic>̂<italic><sup>B</sup></italic> = 0.25) — distinguishes digital infrastructure as the determinant most directly associated with platformization in both the short and the long run, which may motivate prioritization of this direction in the formulation of digital development policy. We emphasize that these considerations are based on a confirmatory model and cannot be regarded as causally grounded recommendations without additional surveying.</p>
      <p>The study is subject to a number of limitations that define the boundaries of interpretation and directions for future work.</p>
      <p>First, <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> is a confirmatory rather than an explanatory model: the estimated coefficients reflect associative relationships within the specified framework and do not admit causal interpretation. The bootstrap median RMSEA (0.066) is approximately twice the point estimate (0.031), reflecting the disruption of the panel structure under resampling; cluster bootstrap with resampling at the level of country groups represents one possible direction for further development.</p>
      <p>Second, <abbrev xlink:title="World Bank’s World Development Indicators">WDI</abbrev> data are characterized by publication lags (approximately two years), subsequent revisions, and incompleteness (~20% coverage after filtering), which led to the exclusion of countries with ≥ 30% missing values and may generate systematic bias in favor of countries with more developed statistical systems. The translation of the population-based estimate (<italic>P<sub>pop</sub></italic>) into a monetary one (<italic>P<sub>monetary</sub></italic>) is effected through the share of household final consumption in GDP under the assumption of proportional participation by all households, which constitutes a crude approximation that overstates the estimate for countries with high income inequality.</p>
      <p>Directions for future research include: (1) verification of the model using platform microdata and national statistical agency data as these become available; (2) introduction of nonlinear specifications or threshold models for variables with borderline significance (trade openness, human capital) and unstable variables (ATM density); (3) implementation of cluster bootstrap for more precise assessment of fit statistic robustness; (4) expansion of the reflective model with indicators that directly measure platform activity (platform transaction volume, platform employment share) as the corresponding statistics are standardized; and (5) comparison of <abbrev xlink:title="Multiple Indicators Multiple Causes">MIMIC</abbrev> estimates with results from alternative approaches (e.g., Bayesian SEM) to assess the model-dependence of the findings.</p>
    </sec>
  </body>
  <back>
    <ack>
      <title>Acknowledgments</title>
      <p>This study was supported by the Russian Science Foundation (grant No. 23-18-00756).</p>
    </ack>
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    <app-group>
      <app id="app1">
        <title>Appendix A. <abbrev xlink:title="World Bank’s World Development Indicators">WDI</abbrev> descriptive statistics</title>
        <table-wrap id="T10" position="float" orientation="portrait">
          <caption>
            <p>Data relevance: February 2026.</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">Variable</th>
                <th rowspan="1" colspan="1">Full name</th>
                <th rowspan="1" colspan="1">Min</th>
                <th rowspan="1" colspan="1">Mean</th>
                <th rowspan="1" colspan="1">Max</th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>internet</italic>
                </td>
                <td rowspan="1" colspan="1">Individuals using the Internet (% of population)</td>
                <td rowspan="1" colspan="1">2.90</td>
                <td rowspan="1" colspan="1">71.42</td>
                <td rowspan="1" colspan="1">99.81</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>mobile</italic>
                </td>
                <td rowspan="1" colspan="1">Log of Mobile cellular subscriptions (per 100 people)</td>
                <td rowspan="1" colspan="1">3.87</td>
                <td rowspan="1" colspan="1">4.80</td>
                <td rowspan="1" colspan="1">5.30</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>serv_empl</italic>
                </td>
                <td rowspan="1" colspan="1">Employment in services (% of total employment)</td>
                <td rowspan="1" colspan="1">20.14</td>
                <td rowspan="1" colspan="1">64.56</td>
                <td rowspan="1" colspan="1">89.73</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>servers</italic>
                </td>
                <td rowspan="1" colspan="1">Log of Secure Internet servers (per 1 million people)</td>
                <td rowspan="1" colspan="1">0.40</td>
                <td rowspan="1" colspan="1">7.63</td>
                <td rowspan="1" colspan="1">12.53</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>ict_import</italic>
                </td>
                <td rowspan="1" colspan="1">ICT goods imports (% of total goods imports)</td>
                <td rowspan="1" colspan="1">1.11</td>
                <td rowspan="1" colspan="1">7.67</td>
                <td rowspan="1" colspan="1">32.85</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>ict_export</italic>
                </td>
                <td rowspan="1" colspan="1">ICT service exports (% of service exports, BoP)</td>
                <td rowspan="1" colspan="1">0.18</td>
                <td rowspan="1" colspan="1">11.72</td>
                <td rowspan="1" colspan="1">62.48</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>new_biz</italic>
                </td>
                <td rowspan="1" colspan="1">New business density (new registrations per 1,000 ages 15–64)</td>
                <td rowspan="1" colspan="1">0.03</td>
                <td rowspan="1" colspan="1">5.10</td>
                <td rowspan="1" colspan="1">29.42</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>rnd</italic>
                </td>
                <td rowspan="1" colspan="1">Research and development expenditure (% of GDP)</td>
                <td rowspan="1" colspan="1">0.01</td>
                <td rowspan="1" colspan="1">1.24</td>
                <td rowspan="1" colspan="1">5.80</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>bachelor</italic>
                </td>
                <td rowspan="1" colspan="1">Educational attainment, at least Bachelor (% of population 25+)</td>
                <td rowspan="1" colspan="1">0.48</td>
                <td rowspan="1" colspan="1">21.40</td>
                <td rowspan="1" colspan="1">59.26</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>reg_qual</italic>
                </td>
                <td rowspan="1" colspan="1">Regulatory quality: Percentile rank</td>
                <td rowspan="1" colspan="1">10.00</td>
                <td rowspan="1" colspan="1">72.02</td>
                <td rowspan="1" colspan="1">100.00</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>atm_density</italic>
                </td>
                <td rowspan="1" colspan="1">Log of Automated teller machines (ATMs) (per 100,000 adults)</td>
                <td rowspan="1" colspan="1">1.61</td>
                <td rowspan="1" colspan="1">4.14</td>
                <td rowspan="1" colspan="1">5.67</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>credit</italic>
                </td>
                <td rowspan="1" colspan="1">Log of Domestic credit to private sector (% of GDP)</td>
                <td rowspan="1" colspan="1">2.54</td>
                <td rowspan="1" colspan="1">4.16</td>
                <td rowspan="1" colspan="1">5.54</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>broadband</italic>
                </td>
                <td rowspan="1" colspan="1">Fixed broadband subscriptions (per 100 people)</td>
                <td rowspan="1" colspan="1">0.02</td>
                <td rowspan="1" colspan="1">24.19</td>
                <td rowspan="1" colspan="1">47.64</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>electricity</italic>
                </td>
                <td rowspan="1" colspan="1">Access to electricity (% of population)</td>
                <td rowspan="1" colspan="1">14.80</td>
                <td rowspan="1" colspan="1">98.01</td>
                <td rowspan="1" colspan="1">100.00</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>urban</italic>
                </td>
                <td rowspan="1" colspan="1">Urban population (% of total population)</td>
                <td rowspan="1" colspan="1">18.80</td>
                <td rowspan="1" colspan="1">69.42</td>
                <td rowspan="1" colspan="1">100.00</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">
                  <italic>trade</italic>
                </td>
                <td rowspan="1" colspan="1">Log of Trade (% of GDP)</td>
                <td rowspan="1" colspan="1">3.23</td>
                <td rowspan="1" colspan="1">4.56</td>
                <td rowspan="1" colspan="1">6.02</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: Compiled by the authors based on World Bank data.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
      </app>
      <app id="app2">
        <title>Appendix B. Country groups by geography and income level</title>
        <table-wrap id="T11" position="float" orientation="portrait">
          <label/>
          <table>
            <tbody>
              <tr>
                <th rowspan="1" colspan="1">Abbreviation</th>
                <th rowspan="1" colspan="1">Description</th>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">HIC</td>
                <td rowspan="1" colspan="1">High-income countries</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LIC</td>
                <td rowspan="1" colspan="1">Low-income countries</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LMC</td>
                <td rowspan="1" colspan="1">Lower-middle-income countries</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">UMC</td>
                <td rowspan="1" colspan="1">Upper-middle-income countries</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">INX</td>
                <td rowspan="1" colspan="1">Income level unknown</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">LCN</td>
                <td rowspan="1" colspan="1">Latin America and Caribbean</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">ECS</td>
                <td rowspan="1" colspan="1">Europe and Central Asia</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">MEA</td>
                <td rowspan="1" colspan="1">Middle East and North Africa</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">SSF</td>
                <td rowspan="1" colspan="1">Sub-Saharan Africa</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">NAC</td>
                <td rowspan="1" colspan="1">North America</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">EAS</td>
                <td rowspan="1" colspan="1">East Asia and Pacific</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">SAS</td>
                <td rowspan="1" colspan="1">South Asia</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p><italic>Source</italic>: World Bank.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
      </app>
    </app-group>
    <fn-group>
      <fn id="en1">
        <p>https://www.kommersant.ru/doc/5017063 (in Russian).</p>
      </fn>
      <fn id="en2">
        <p>https://ria.ru/20250709/reshetnikov-2028162677.html (in Russian).</p>
      </fn>
      <fn id="en3">
        <p>Report: https://www.oecd.org/en/publications/oecd-digital-economy-outlook-2024-volume-2_ 3adf705b-en.html; Data: https://goingdigital.oecd.org/datakitchen/#/explorer/5/ict/indicator/explore/en?mainCubeId= OECD.STI.DEP%2FDSD_ICT_B%40DF_BUSINESSES&amp;mainIndId=D1B_B&amp;main Breakdowns=ACTIVITY%3A_T.SIZE_CLASS%3AS_GE10&amp;time=1293829200360.1704056400360&amp; chart=barchart&amp;fontSize=12&amp;palette=normal&amp;lastDates=true&amp;timeScale= A&amp;mainUnit=PT_ENT&amp;utRange=true</p>
      </fn>
      <fn id="en4">
        <p>https://databank.worldbank.org/source/world-development-indicators</p>
      </fn>
      <fn>
        <p>Corresponding author, E-mail address: karminsky@mail.ru</p>
      </fn>
    </fn-group>
  </back>
</article>
