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Power laws in firm size and openness to trade: Measurement and implications

Author

Listed:
  • Julian Di Giovanni

    (IMF - "Research Department International Monetary Fund (IMF)" - International Monetary Fund (IMF))

  • Andrei Levchenko

    (UMich - Université du Michigan = University of Michigan [Ann Arbor], NBER - The National Bureau of Economic Research)

  • Romain Rancière

    (IMF - "Research Department International Monetary Fund (IMF)" - International Monetary Fund (IMF), PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CEPR - Center for Economic Policy Research)

Abstract

Existing estimates of power laws in firm size typically ignore the impact of international trade. Using a simple theoretical framework, we show that international trade systematically affects the distribution of firm size: the power law exponent among exporting firms should be strictly lower in absolute value than the power law exponent among non-exporting firms. We use a dataset of French firms to demonstrate that this prediction is strongly supported by the data, both for the economy as a whole and at the industry level. Furthermore, the differences between power law coefficients for exporters and non-exporters are larger in sectors that are more open to trade. While estimates of power law exponents have been used to pin down parameters in theoretical and quantitative models, our analysis implies that the existing estimates are systematically lower than the true values. We propose two simple ways of estimating power law parameters that take explicit account of exporting behavior.

Suggested Citation

  • Julian Di Giovanni & Andrei Levchenko & Romain Rancière, 2011. "Power laws in firm size and openness to trade: Measurement and implications," PSE-Ecole d'économie de Paris (Postprint) halshs-00754523, HAL.
  • Handle: RePEc:hal:pseptp:halshs-00754523
    DOI: 10.1016/j.jinteco.2011.05.003
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    Keywords

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    JEL classification:

    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • F15 - International Economics - - Trade - - - Economic Integration

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