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Firm Heterogeneity and Aggregate Welfare

Author

Listed:
  • Marc Melitz

    (Department of Economics, Harvard University - Harvard University)

  • Stephen Redding

    (Princeton University)

Abstract
We examine how firm heterogeneity influences aggregate welfare through endogenous firm selection. We consider a homogeneous firm model that is a special case of a heterogeneous firm model with a degenerate productivity distribution. Keeping all structural parameters besides the productivity distribution the same, we show that the two models have di↵erent aggregate welfare implications, with larger welfare gains from reductions in trade costs in the heterogeneous firm model. Calibrating parameters to key U.S. aggregate and firm statistics, we find these differences in aggregate welfare to be quantitatively important (up to a few percentage points of GDP). Under the assumption of a Pareto productivity distribution, the two models can be calibrated to the same observed trade share, trade elasticity with respect to variable trade costs, and hence welfare gains from trade (as shown by Arkolakis, Costinot and Rodriguez-Clare, 2012); but this requires assuming different elasticities of substitution between varieties and different fixed and variable trade costs across the two models.

Suggested Citation

  • Marc Melitz & Stephen Redding, 2013. "Firm Heterogeneity and Aggregate Welfare," SciencePo Working papers hal-03473900, HAL.
    • Handle: RePEc:hal:wpspec:hal-03473900
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-03473900
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    References listed on IDEAS

    as
    1. Melitz, Marc J. & Redding, Stephen J., 2014. "Heterogeneous Firms and Trade," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 1-54, Elsevier.
    2. Krugman, Paul, 1980. "Scale Economies, Product Differentiation, and the Pattern of Trade," American Economic Review, American Economic Association, vol. 70(5), pages 950-959, December.
    3. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    4. Sanghamitra Das & Mark J. Roberts & James R. Tybout, 2007. "Market Entry Costs, Producer Heterogeneity, and Export Dynamics," Econometrica, Econometric Society, vol. 75(3), pages 837-873, May.
    5. Andrew B. Bernard & J. Bradford Jensen & Stephen J. Redding & Peter K. Schott, 2007. "Firms in International Trade," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 105-130, Summer.
    6. Andrew B. Bernard & Jonathan Eaton & J. Bradford Jensen & Samuel Kortum, 2003. "Plants and Productivity in International Trade," American Economic Review, American Economic Association, vol. 93(4), pages 1268-1290, September.
    7. Andrew Atkeson & Ariel Tomás Burstein, 2010. "Innovation, Firm Dynamics, and International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(3), pages 433-484, June.
    8. 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.
    9. 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.
    10. Swati Dhingra & John Morrow, 2019. "Monopolistic Competition and Optimum Product Diversity under Firm Heterogeneity," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 196-232.
    11. 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.
    12. Roberts, Mark J & Tybout, James R, 1997. "The Decision to Export in Colombia: An Empirical Model of Entry with Sunk Costs," American Economic Review, American Economic Association, vol. 87(4), pages 545-564, September.
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    More about this item

    Keywords

    firm heterogeneity; welfare gains from trade;

    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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