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Endogenous Ranking and Equilibrium Lorenz Curve Across (ex ante) Identical Countries

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  • Kiminori Matsuyama

Abstract

This paper considers a model of the world economy with a finite number of ex-ante identical countries and a continuum of tradeable goods. Productivity differences across countries arise endogenously through free entry to the local differentiated producer service sector in each country. It is shown that, in any stable equilibrium, the countries sort themselves into specializing in different sets of tradeable goods and that a strict ranking of countries in income, TFP, and the capital-labor ratio emerge endogenously. The equilibrium Lorenz curve is characterized by a second-order nonlinear difference equation with the two terminal conditions. As the number of countries increases, this equation converges to a differential equation whose unique solution can be solved analytically and depends on a few parameters in a tractable manner. This enables us to show when the equilibrium distribution obeys a power-law and how various forms of globalization affect inequality among countries and to study the welfare effects of trade.
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Suggested Citation

  • Kiminori Matsuyama, 2013. "Endogenous Ranking and Equilibrium Lorenz Curve Across (ex ante) Identical Countries," Econometrica, Econometric Society, vol. 81(5), pages 2009-2031, September.
    • Handle: RePEc:ecm:emetrp:v:81:y:2013:i:5:p:2009-2031
    DOI: ECTA10107
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    Cited by:

    1. Kunieda, Takuma & Nishimura, Kazuo & Shibata, Akihisa, 2018. "Specializations, financial constraints, and income distribution," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 3-14.
    2. Robert C. Feenstra, 2017. "Statistics to Measure Offshoring and its Impact," NBER Working Papers 23067, National Bureau of Economic Research, Inc.
    3. Kohei Nagamachi, 2012. "Comparative Advantage and Skill Premium of Regions," CIRJE F-Series CIRJE-F-868, CIRJE, Faculty of Economics, University of Tokyo.
    4. Pflüger, Michael P. & Tabuchi, Takatoshi, 2016. "Comparative Advantage and Agglomeration of Economic Activity," IZA Discussion Papers 10273, Institute of Labor Economics (IZA).
    5. Matsuyama, Kiminori, 2015. "The home market effect and patterns of trade between rich and poor countries," LSE Research Online Documents on Economics 86292, London School of Economics and Political Science, LSE Library.
    6. Kiminori Matsuyama, 2019. "Engel's Law in the Global Economy: Demand‐Induced Patterns of Structural Change, Innovation, and Trade," Econometrica, Econometric Society, vol. 87(2), pages 497-528, March.
    7. Sergi Basco & Martí Mestieri, 2019. "The world income distribution: the effects of international unbundling of production," Journal of Economic Growth, Springer, vol. 24(2), pages 189-221, June.
    8. Kohei Nagamachi, 2013. "Task Trade and the Size Distribution of Cities," CIRJE F-Series CIRJE-F-886, CIRJE, Faculty of Economics, University of Tokyo.
    9. Satya P. Das & Anuradha Saha, 2015. "Growth of business services: A supply-side hypothesis," Canadian Journal of Economics, Canadian Economics Association, vol. 48(1), pages 83-109, February.
    10. Kobayashi, Teruyoshi & Ogisu, Yoshitaka & Onaga, Tomokatsu, 2023. "Unstable diffusion in social networks," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    11. Nagamachi, Kohei, 2015. "A Simple Model of Functional Specialization of Cities," MPRA Paper 61497, University Library of Munich, Germany.
    12. Matsuyama, Kiminori, 2017. "Geographical advantage: Home market effect in a multi-region world," Research in Economics, Elsevier, vol. 71(4), pages 740-758.
    13. Matsuyama, Kiminori, 2014. "Endogenous ranking and equilibrium Lorenz curve across (ex-ante) identical countries: A generalization," Research in Economics, Elsevier, vol. 68(2), pages 95-111.
    14. Akamatsu, Takashi & Fujishima, Shota & Takayama, Yuki, 2014. "On Stable Equilibria in Discrete-Space Social Interaction Models," MPRA Paper 55938, University Library of Munich, Germany.
    15. Tetsugen HARUYAMA, 2021. "International Kuznets Curve (?): A Schumpeterian Model of the World Economy," Discussion Papers 2112, Graduate School of Economics, Kobe University.
    16. Kohei Nagamachi, 2013. "Comparative Advantage and Skill Premium of Regions," Economics Bulletin, AccessEcon, vol. 33(3), pages 1681-1694.
    17. Pflüger, Michael & Tabuchi, Takatoshi, 2019. "Comparative advantage, agglomeration economies and trade costs," Journal of Urban Economics, Elsevier, vol. 109(C), pages 1-13.

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