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Industry dynamics: Foundations for models with an infinite number of firms

  • Weintraub, Gabriel Y.
  • Benkard, C. Lanier
  • Van Roy, Benjamin
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    This paper explores the connection between three important threads of economic research offering different approaches to studying the dynamics of an industry with heterogeneous firms. Finite models of the form pioneered by Ericson and Pakes (1995) capture the dynamics of a finite number of heterogeneous firms as they compete in an industry, and are typically analyzed using the concept of Markov perfect equilibrium (MPE). Infinite models of the form pioneered by Hopenhayn (1992), on the other hand, consider an infinite number of infinitesimal firms, and are typically analyzed using the concept of stationary equilibrium (SE). A third approach uses oblivious equilibrium (OE), which maintains the simplifying benefits of an infinite model but within the more realistic setting of a finite model. The paper relates these three approaches. The main result of the paper provides conditions under which SE of infinite models approximate MPE of finite models arbitrarily well in asymptotically large markets. Our conditions require that the distribution of firm states in SE obeys a certain âlight-tailâ condition. In a second set of results, we show that the set of OE of a finite model approaches the set of SE of the infinite model in large markets under a similar light-tail condition.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0022053111000731
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    Article provided by Elsevier in its journal Journal of Economic Theory.

    Volume (Year): 146 (2011)
    Issue (Month): 5 (September)
    Pages: 1965-1994

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    Handle: RePEc:eee:jetheo:v:146:y:2011:i:5:p:1965-1994
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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    1. Xavier Gabaix, 2005. "The Granular Origins of Aggregate Fluctuations," 2005 Meeting Papers 470, Society for Economic Dynamics.
    2. Jakob Klette & Samuel Kortum, 2002. "Innovating firms and aggregate innovation," Staff Report 300, Federal Reserve Bank of Minneapolis.
    3. Novshek, William & Sonnenschein, Hugo, 1978. "Cournot and Walras equilibrium," Journal of Economic Theory, Elsevier, vol. 19(2), pages 223-266, December.
    4. Ariel Pakes, 2000. "A Framework for Applied Dynamic Analysis in I.O," NBER Working Papers 8024, National Bureau of Economic Research, Inc.
    5. Jones, Larry E., 1987. "The efficiency of monopolistically competitive equilibria in large economies: Commodity differentiation with gross substitutes," Journal of Economic Theory, Elsevier, vol. 41(2), pages 356-391, April.
    6. Gabriel Y. Weintraub & C. Lanier Benkard & Benjamin Van Roy, 2008. "Markov Perfect Industry Dynamics With Many Firms," Econometrica, Econometric Society, vol. 76(6), pages 1375-1411, November.
    7. Matthew F. Mitchell, 2000. "The Scope and Organization of Production: Firm Dynamics Over the Learning Curve," RAND Journal of Economics, The RAND Corporation, vol. 31(1), pages 180-205, Spring.
    8. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
    9. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Cowles Foundation Discussion Papers 937, Cowles Foundation for Research in Economics, Yale University.
    10. Novshek, William., 1983. "Perfectly Competitive Markets as the Limits of Cournot Markets," Working Papers 499, California Institute of Technology, Division of the Humanities and Social Sciences.
    11. Jovanovic, Boyan, 1986. "Micro Shocks and Aggregate Risks," Working Papers 86-14, C.V. Starr Center for Applied Economics, New York University.
    12. Beth Allen & Martin Hellwig, 1986. "Bertrand-Edgeworth Oligopoly in Large Markets," Review of Economic Studies, Oxford University Press, vol. 53(2), pages 175-204.
    13. Ulrich Doraszelski & Mark Satterthwaite, 2010. "Computable Markov-perfect industry dynamics," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 215-243.
    14. Hopenhayn, Hugo & Rogerson, Richard, 1993. "Job Turnover and Policy Evaluation: A General Equilibrium Analysis," Journal of Political Economy, University of Chicago Press, vol. 101(5), pages 915-38, October.
    15. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-50, September.
    16. Allen, Beth & Hellwig, Martin, 1986. "Price-Setting Firms and the Oligopolistic Foundations of Perfect Competition," American Economic Review, American Economic Association, vol. 76(2), pages 387-92, May.
    17. Mark J. Melitz, 2002. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," NBER Working Papers 8881, National Bureau of Economic Research, Inc.
    18. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," Review of Economic Studies, Oxford University Press, vol. 62(1), pages 53-82.
    19. Roberts, Donald John & Postlewaite, Andrew, 1976. "The Incentives for Price-Taking Behavior in Large Exchange Economies," Econometrica, Econometric Society, vol. 44(1), pages 115-27, January.
    20. Novshek, William & Sonnenschein, Hugo, 1983. "Walrasian equilibria as limits of noncooperative equilibria. Part II: Pure strategies," Journal of Economic Theory, Elsevier, vol. 30(1), pages 171-187, June.
    21. Mas-Colell, Andreu, 1983. "Walrasian equilibria as limits of noncooperative equilibria. Part I: Mixed strategies," Journal of Economic Theory, Elsevier, vol. 30(1), pages 153-170, June.
    22. Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, Oxford University Press, vol. 122(3), pages 1103-1144.
    23. Besanko, David & Perry, Martin K & Spady, Richard H, 1990. "The Logit Model of Monopolistic Competition: Brand Diversity," Journal of Industrial Economics, Wiley Blackwell, vol. 38(4), pages 397-415, June.
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