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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

This paper investigates the consequences of replacing the assumption of Pareto heterogeneity with log-normal heterogeneity. This case is interesting because it (a) maintains some desirable analytic features of Pareto, (b) ts the complete distribution of rm sales rather than just approximating the right tail, and (c) can be generated under equally plausible processes (see online appendix). The log-normal is reasonably tractable but its use sacrices some \scale-free" properties conveyed by the Pareto distribution. Aspects of the the calibration that do not matter under Pareto lead to important dierences in the gains from trade under log-normal.

Suggested Citation

  • Keith Head & Thierry Mayer & Mathias Thoenig, 2014. "Welfare and Trade Without Pareto," Working Papers hal-00973032, HAL.
    • Handle: RePEc:hal:wpaper:hal-00973032
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-00973032
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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. 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.
    8. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    9. 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.
    10. 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.
    11. repec:hal:spmain:info:hdl:2441/6k7m0q7h709rdrhbpm2n96irf8 is not listed on IDEAS
    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. 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.
    14. 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.
    15. Thomas Chaney, 2013. "The Gravity Equation in International Trade: An Explanation," SciencePo Working papers hal-03460790, HAL.
    16. repec:hal:spmain:info:hdl:2441/7o52iohb7k6srk09n8t832o04 is not listed on IDEAS
    17. 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.
    18. 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.
    19. 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.
    20. 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

    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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