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Identification and Estimation of Dynamic Games

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  • Pesendorfer, Martin
  • Schmidt-Dengler, Philipp

Abstract

This Paper studies the identification problem in infinite horizon Markovian games and proposes a generally applicable estimation method. Every period firms simultaneously select an action from a finite set. We characterize the set of Markov equilibria. Period profits are a linear function of equilibrium choice probabilities. The question of identification of these values is then reduced to the existence of a solution to this linear equation system. We characterize the identification conditions. We propose a simple estimation procedure that follows the steps in the identification argument. The estimator is consistent, asymptotic normally distributed, and efficient. We have collected quarterly time series data on pubs, restaurants, coffeehouses, bakeries and carpenters for two Austrian towns between 1982 and 2002. A dynamic entry game is estimated in which firms simultaneously decide whether to enter, remain active, or exit the industry. The period profit estimates are used to simulate the equilibrium behaviour under a policy experiment in which a unit tax is imposed on firms deciding to enter the industry.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3965.

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Date of creation: Jul 2003
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Handle: RePEc:cpr:ceprdp:3965

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Keywords: entry games; estimation of dynamic oligopoly;

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  1. Jofre-Bonet, Mireia & Pesendorfer, Martin, 2000. "Bidding behavior in a repeated procurement auction: A summary," European Economic Review, Elsevier, vol. 44(4-6), pages 1006-1020, May.
  2. Bresnahan, Timothy F & Reiss, Peter C, 1990. "Entry in Monopoly Markets," Review of Economic Studies, Wiley Blackwell, vol. 57(4), pages 531-53, October.
  3. Bresnahan, T.F & Reiss, P.C., 1989. "Entry And Competition In Concentrated Markets," Papers 151, Stanford - Studies in Industry Economics.
  4. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
  5. Thierry Magnac & David Thesmar, 2002. "Identifying Dynamic Discrete Decision Processes," Econometrica, Econometric Society, vol. 70(2), pages 801-816, March.
  6. Berry, Steven T, 1992. "Estimation of a Model of Entry in the Airline Industry," Econometrica, Econometric Society, vol. 60(4), pages 889-917, July.
  7. Mireia Jofre-Bonet & Martin Pesendorfer, 2003. "Estimation of a Dynamic Auction Game," Econometrica, Econometric Society, vol. 71(5), pages 1443-1489, 09.
  8. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 964-982, December.
  9. Timothy F. Bresnahan & Peter C. Reiss, 1987. "Do Entry Conditions Vary across Markets?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 18(3), pages 833-882.
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