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Welfare and Trade without Pareto

Author

Listed:
  • Keith Head

    (Sauder - Sauder School of Business [British Columbia] - UBC - University of British Columbia)

  • Thierry Mayer

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

  • Mathias Thoenig

    (CUI - Centre Universitaire d'Informatique - UNIGE - Université de Genève = University of Geneva)

Abstract

Quantifications of gains from trade in heterogeneous firm models assume that productivity is Pareto distributed. Replacing this assumption with log-normal heterogeneity retains some useful Pareto features, while providing a substantially better fit to sales distributions-especially in the left tail. The cost of log-normal is that gains from trade depend on the method of calibrating the fixed cost and productivity distribution parameters. When set to match the size distribution of firm sales in a given market, the log-normal assumption delivers gains from trade in a symmetric two-country model that can be twice as large as under the Pareto assumption.

Suggested Citation

  • Keith Head & Thierry Mayer & Mathias Thoenig, 2014. "Welfare and Trade without Pareto," Post-Print hal-03460459, HAL.
  • Handle: RePEc:hal:journl:hal-03460459
    DOI: 10.1257/aer.104.5.310
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-03460459
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    1. repec:hal:wpspec:info:hdl:2441/7o52iohb7k6srk09n8t832o04 is not listed on IDEAS
    2. Novy, Dennis, 2013. "International trade without CES: Estimating translog gravity," Journal of International Economics, Elsevier, vol. 89(2), pages 271-282.
    3. di Giovanni, Julian & Levchenko, Andrei A. & Rancière, Romain, 2011. "Power laws in firm size and openness to trade: Measurement and implications," Journal of International Economics, Elsevier, vol. 85(1), pages 42-52, September.
    4. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    5. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    6. Melitz, Marc J. & Redding, Stephen J., 2013. "Firm heterogeneity and aggregate welfare," LSE Research Online Documents on Economics 51533, London School of Economics and Political Science, LSE Library.
    7. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    8. Jonathan Eaton & Samuel Kortum & Francis Kramarz, 2011. "An Anatomy of International Trade: Evidence From French Firms," Econometrica, Econometric Society, vol. 79(5), pages 1453-1498, September.
    9. Marc J. Melitz & Stephen J. Redding, 2015. "New Trade Models, New Welfare Implications," American Economic Review, American Economic Association, vol. 105(3), pages 1105-1146, March.
    10. repec:hal:spmain:info:hdl:2441/6k7m0q7h709rdrhbpm2n96irf8 is not listed on IDEAS
    11. Thomas Chaney, 2018. "The Gravity Equation in International Trade: An Explanation," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 150-177.
    12. Alan Spearot, 2016. "Unpacking the Long-Run Effects of Tariff Shocks: New Structural Implications from Firm Heterogeneity Models," American Economic Journal: Microeconomics, American Economic Association, vol. 8(2), pages 128-167, May.
    13. Thomas Chaney, 2013. "The Gravity Equation in International Trade: An Explanation," SciencePo Working papers Main hal-03460790, HAL.
    14. Thomas Chaney, 2013. "The Gravity Equation in International Trade: An Explanation," Working Papers hal-03460790, HAL.
    15. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    16. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 441-487.
    17. Thomas Chaney, 2013. "The Gravity Equation in International Trade: An Explanation," SciencePo Working papers hal-03460790, HAL.
    18. repec:hal:spmain:info:hdl:2441/7o52iohb7k6srk09n8t832o04 is not listed on IDEAS
    19. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    20. Gabaix, Xavier & Ioannides, Yannis M., 2004. "The evolution of city size distributions," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 53, pages 2341-2378, Elsevier.
    21. Costas Arkolakis & Arnaud Costinot & Andres Rodriguez-Clare, 2012. "New Trade Models, Same Old Gains?," American Economic Review, American Economic Association, vol. 102(1), pages 94-130, February.
    22. Gopinath, G. & Helpman, . & Rogoff, K. (ed.), 2014. "Handbook of International Economics," Handbook of International Economics, Elsevier, edition 1, volume 4, number 4.
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    More about this item

    Keywords

    Welfare Theory; Trade Models; Microdata Simulations;
    All these keywords.

    JEL classification:

    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D60 - Microeconomics - - Welfare Economics - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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