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Markov Equilibria of 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 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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Bibliographic Info

Paper provided by C.V. Starr Center for Applied Economics, New York University in its series Working Papers with number 02-07.

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Length: 39 pages
Date of creation: 2002
Date of revision:
Handle: RePEc:cvs:starer:02-07

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Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012
Phone: (212) 998-8936
Fax: (212) 995-3932
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Web page: http://econ.as.nyu.edu/object/econ.cvstarr.html
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Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012
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  1. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-50, September.
  2. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
  3. Arial Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Levine's Working Paper Archive 622, David K. Levine.
  4. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July.
  5. Binmore, Ken G & Herrero, M J, 1988. "Security Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 55(1), pages 33-48, January.
  6. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  7. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
  8. 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.
  9. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
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Cited by:
  1. Konishi, Hideo & Sapozhnikov, Margarita, 2008. "Decentralized matching markets with endogenous salaries," Games and Economic Behavior, Elsevier, vol. 64(1), pages 193-218, September.
  2. Douglas Gale & Hamid Sabourian, 2003. "Complexity and Competition, Part I: Sequential Matching," Levine's Bibliography 666156000000000199, UCLA Department of Economics.
  3. 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.
  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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