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Markov Equilibria in Dynamic Matching and Bargaining Games

  • Gale, D.
  • Sabourian, H.

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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File URL: http://www.econ.cam.ac.uk/research/repec/cam/pdf/cwpe0322.pdf
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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
Note: ET
Contact details of provider: Web page: http://www.econ.cam.ac.uk/index.htm

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  1. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  2. Masso, Jordi & Rosenthal, Robert W., 1989. "More on the "anti-folk theorem"," Journal of Mathematical Economics, Elsevier, vol. 18(3), pages 281-290, June.
  3. 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.
  4. Arial Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Levine's Working Paper Archive 622, David K. Levine.
  5. Arial Rubinstein & Asher Wolinsky, 1985. "Equilibrium in a Market with Sequential Bargaining," Levine's Working Paper Archive 623, David K. Levine.
  6. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
  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. Binmore, Ken G & Herrero, M J, 1988. "Security Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 55(1), pages 33-48, January.
  9. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-18, July.
  10. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
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