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Markov Equilibria in Dynamic Matching and Bargaining Games

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  • Gale, D.
  • Sabourian, H.

Abstract

Rubinstein and Wolinsky (1990) show that a simple homogeneous market with exogenous matching has continuum of (non-competitive) perfect equilibria, but 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 equilibria, 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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Bibliographic Info

Paper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 0322.

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Length: 41
Date of creation: Apr 2003
Date of revision:
Handle: RePEc:cam:camdae:0322

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Web page: http://www.econ.cam.ac.uk/index.htm

Related research

Keywords: bargaining; bounded rationality; competitive equilibrium;

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References

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  1. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
  2. Rubinstein, Ariel & Wolinsky, Asher, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Wiley Blackwell, vol. 57(1), pages 63-78, January.
  3. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  4. Douglas Gale, 2010. "Limit theorems for markets with sequential bargaining," Levine's Working Paper Archive 621, David K. Levine.
  5. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-50, September.
  6. Binmore, Ken G & Herrero, M J, 1988. "Matching and Bargaining in Dynamic Markets," Review of Economic Studies, Wiley Blackwell, vol. 55(1), pages 17-31, January.
  7. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
  8. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July.
  9. Binmore, Ken G & Herrero, M J, 1988. "Security Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 55(1), pages 33-48, January.
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Cited by:
  1. Gale, D. & Sabourian, H., 2003. "Complexity and Competition, Part I: Sequential Matching," Cambridge Working Papers in Economics 0345, Faculty of Economics, University of Cambridge.
  2. Anwar Ahmed W & Sákovics József, 2007. "A Decentralized Market for a Perishable Good," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-25, February.
  3. Hideo Konishi & Margarita Sapozhnikov, 2006. "Decentralized Matching Markets with Endogenous Salaries," Boston College Working Papers in Economics 654, Boston College Department of Economics, revised 03 Jan 2008.
  4. Klaus Kultti, 2010. "Inefficiency caused by random matching and heterogeneity," Portuguese Economic Journal, Springer, vol. 9(1), pages 19-28, April.

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