Foundations of Markov-Perfect Industry Dynamics: Existence, Purification, and Multiplicity
AbstractIn this paper we show that existence of a Markov perfect equilibrium (MPE) in the Ericson & Pakes (1995) model of dynamic competition in an oligopolistic industry with investment, entry, and exit requires admissibility of mixed entry/exit strategies, contrary to their assertion. This is problematic because the existing algorithms cannot cope with mixed strategies. To establish a solid foundation for computing dynamic industry equilibria, we introduce firm heterogeneity in the form of randomly drawn, privately known scrap values and setup costs into the model. We show that the resulting game of incomplete information always has a MPE in cutoff entry/exit strategies and is computationally no more demanding than the original game of complete information. In addition, we provide a condition on the model's primitives that ensures that the MPE is in pure investment strategies. Building on this basic existence result, we first show that a symmetric and anonymous MPE exists under appropriate assumptions on the model's primitives. Second, we show that, as the distribution of the random scrap values/setup costs becomes degenerate, MPEs in cutoff entry/exit strategies converge to MPEs in mixed entry/exit strategies of the game of complete information. Finally, we provide the first example of multiple symmetric and anonymous MPEs in this literature
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Bibliographic InfoPaper provided by Society for Economic Dynamics in its series 2004 Meeting Papers with number 189.
Date of creation: 2004
Date of revision:
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Postal: Society for Economic Dynamics Christian Zimmermann Economic Research Federal Reserve Bank of St. Louis PO Box 442 St. Louis MO 63166-0442 USA
Web page: http://www.EconomicDynamics.org/society.htm
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dynamic competition; Markov perfect equilibrium;
Find related papers by JEL classification:
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-08-02 (All new papers)
- NEP-DGE-2004-08-02 (Dynamic General Equilibrium)
- NEP-ENT-2004-08-02 (Entrepreneurship)
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