Markov equilibria in dynamic matching and bargaining games
Rubinstein and Wolinsky (1990) show that a simple homogeneous market with exogenous matching has a continuum of (non-competitive) perfect equilibria; however, the unique Markov perfect equilibrium is competitive. By contrast, in the more general case of heterogeneous markets, we show there exists a continuum of (non-competitive) Markov perfect equilibria. However, a refinement of the Markov property, which we call monotonicity, does suffice to guarantee perfectly competitive behavior: we show that a Markov perfect equilibrium is competitive if and only if it is monotonic. The monotonicity property is closely related to the concept of Nash equilibrium with complexity costs.
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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Ariel Rubinstein, 2010.
"Perfect Equilibrium in a Bargaining Model,"
Levine's Working Paper Archive
661465000000000387, David K. Levine.
- Rubinstein, Ariel & Wolinsky, Asher, 1985.
"Equilibrium in a Market with Sequential Bargaining,"
Econometric Society, vol. 53(5), pages 1133-50, September.
- Arial Rubinstein & Asher Wolinsky, 1985. "Equilibrium in a Market with Sequential Bargaining," Levine's Working Paper Archive 623, David K. Levine.
- Arial Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Levine's Working Paper Archive 622, David K. Levine.
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- Gale, Douglas, 1987.
"Limit theorems for markets with sequential bargaining,"
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Elsevier, vol. 43(1), pages 20-54, October.
- Douglas Gale, 2010. "Limit theorems for markets with sequential bargaining," Levine's Working Paper Archive 621, David K. Levine.
- McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
- Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
- K. G. Binmore & M. J. Herrero, 1988. "Matching and Bargaining in Dynamic Markets," Review of Economic Studies, Oxford University Press, vol. 55(1), pages 17-31.
- Masso, Jordi & Rosenthal, Robert W., 1989. "More on the "anti-folk theorem"," Journal of Mathematical Economics, Elsevier, vol. 18(3), pages 281-290, June.
- Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July.
- Ariel Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 63-78.
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