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Markov Perfect Industry Dynamics with Many Firms

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  • Weintraub, Gabriel Y.

    (Columbia U)

  • Benkard, C. Lanier

    (Stanford U)

  • Van Roy, Benjamin
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    Abstract

    We propose an approximation method for analyzing Ericson and Pakes (1995)-style dynamic models of imperfect competition. We develop a simple algorithm for computing an "oblivious equilibrium," in which each firm is assumed to make decisions based only on its own state and knowledge of the long run average industry state, but where firms ignore current information about competitors' states. We prove that, as the market becomes large, if the equilibrium distribution of firm states obeys a certain "lighttail" condition, then oblivious equilibria closely approximate Markov perfect equilibria. We develop bounds that can be computed to assess the accuracy of the approximation for any given applied problem. Through computational experiments, we find that the method often generates useful approximations for industries with hundreds of firms and in some cases even tens of firms.

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    Bibliographic Info

    Paper provided by Stanford University, Graduate School of Business in its series Research Papers with number 1919r.

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    Date of creation: Feb 2007
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    Handle: RePEc:ecl:stabus:1919r

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    1. Jakob Klette & Samuel Kortum, 2002. "Innovating firms and aggregate innovation," Staff Report 300, Federal Reserve Bank of Minneapolis.
    2. Ariel Pakes & Michael Ostrovsky & Steve Berry, 2004. "Simple Estimators for the Parameters of Discrete Dynamic Games (with Entry/Exit Examples)," Harvard Institute of Economic Research Working Papers 2036, Harvard - Institute of Economic Research.
    3. David K. Levine & Wolfgang Pesendorfer, 1995. "When Are Agents Negligible?," Levine's Working Paper Archive 96, David K. Levine.
    4. Gautam Gowrisankaran & Robert J. Town, 1997. "Dynamic Equilibrium in the Hospital Industry," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(1), pages 45-74, 03.
    5. Al-Najjar, Nabil I. & Smorodinsky, Rann, 2001. "Large Nonanonymous Repeated Games," Games and Economic Behavior, Elsevier, vol. 37(1), pages 26-39, October.
    6. Kenneth Judd & Karl Schmedders & Sevin Yeltekin, . "Optimal Rules for Patent Races," GSIA Working Papers 2006-E37, Carnegie Mellon University, Tepper School of Business.
    7. Bajari, Patrick & Benkard, C. Lanier & Levin, Jonathan, 2007. "Estimating Dynamic Models of Imperfect Competition," Research Papers 1852r1, Stanford University, Graduate School of Business.
    8. Fudenberg, Drew & Levine, David, 1986. "Limit Games and Limit Equilibria," Scholarly Articles 3350443, Harvard University Department of Economics.
    9. 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.
    10. David Besanko & Ulrich Doraszelski, 2004. "Capacity Dynamics and Endogenous Asymmetries in Firm Size," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 23-49, Spring.
    11. Ariel Pakes & Paul McGuire, 1992. "Computing Markov Perfect Nash Equilibria: Numerical Implications of a Dynamic Differentiated Product Model," NBER Technical Working Papers 0119, National Bureau of Economic Research, Inc.
    12. Drew Fudenberg & David K. Levine & Wolfgang Pesendorfer, 1996. "When are Non-Anonymous Players Negligible," Levine's Working Paper Archive 180, David K. Levine.
    13. Jovanovic, Boyan & Rosenthal, Robert W., 1988. "Anonymous sequential games," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 77-87, February.
    14. 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.
    15. Fershtman, Chaim & Pakes, Ariel, 2009. "Finite State Dynamic Games with Asymmetric Information: A Framework for Applied Work," CEPR Discussion Papers 7323, C.E.P.R. Discussion Papers.
    16. Minjae Song, 2011. "A Dynamic Analysis Of Cooperative Research In The Semiconductor Industry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(4), pages 1157-1177, November.
    17. Novshek, William & Sonnenschein, Hugo, 1978. "Cournot and Walras equilibrium," Journal of Economic Theory, Elsevier, vol. 19(2), pages 223-266, December.
    18. Allan Collard-Wexler, 2011. "Productivity Dispersion and Plant Selection in the Ready-Mix Concrete Industry," Working Papers 11-25, Center for Economic Studies, U.S. Census Bureau.
    19. Allen, Beth & Hellwig, Martin, 1986. "Bertrand-Edgeworth Oligopoly in Large Markets," Review of Economic Studies, Wiley Blackwell, vol. 53(2), pages 175-204, April.
    20. Ronald L. Goettler & Christine A. Parlour, 2004. "Equilibrium in a Dynamic Limit Order Market," 2004 Meeting Papers 757, Society for Economic Dynamics.
    21. C. Lanier Benkard, 2004. "A Dynamic Analysis of the Market for Wide-Bodied Commercial Aircraft," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 581-611.
    22. 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.
    23. Berry, Steven & Pakes, Ariel, 1993. "Some Applications and Limitations of Recent Advances in Empirical Industrial Organization: Merger Analysis," American Economic Review, American Economic Association, vol. 83(2), pages 247-52, May.
    24. Krusell, P & Smith Jr, A-A, 1995. "Income and Wealth Heterogeneity in the Macroeconomic," RCER Working Papers 399, University of Rochester - Center for Economic Research (RCER).
    25. 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.
    26. Martin Pesendorfer & Philipp Schmidt-Dengler, 2003. "Identification and Estimation of Dynamic Games," NBER Working Papers 9726, National Bureau of Economic Research, Inc.
    27. 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.
    28. 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.
    29. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    30. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-50, September.
    31. de Roos, Nicolas, 2004. "A model of collusion timing," International Journal of Industrial Organization, Elsevier, vol. 22(3), pages 351-387, March.
    32. Fabiano Schivardi & Martin Schneider, 2008. "Strategic Experimentation and Disruptive Technological Change," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 386-412, April.
    33. Ericson, Richard & Pakes, Ariel, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," Review of Economic Studies, Wiley Blackwell, vol. 62(1), pages 53-82, January.
    34. Victor Aguirregabiria & Pedro Mira, 2004. "Sequential Estimation of Dynamic Discrete Games," Industrial Organization 0406006, EconWPA.
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    Cited by:
    1. Christopher Laincz, 2009. "R&D subsidies in a model of growth with dynamic market structure," Journal of Evolutionary Economics, Springer, vol. 19(5), pages 643-673, October.

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