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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.

Suggested Citation

  • Gale, D. & Sabourian, H., 2003. "Markov Equilibria in Dynamic Matching and Bargaining Games," Cambridge Working Papers in Economics 0322, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:0322
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. 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.
    3. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
    4. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-818, July.
    5. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
    6. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    7. K. G. Binmore & M. J. Herrero, 1988. "Security Equilibrium," Review of Economic Studies, Oxford University Press, vol. 55(1), pages 33-48.
    8. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
    9. 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.
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    Cited by:

    1. 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.
    2. Konishi, Hideo & Sapozhnikov, Margarita, 2008. "Decentralized matching markets with endogenous salaries," Games and Economic Behavior, Elsevier, vol. 64(1), pages 193-218, September.
    3. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
    4. Gale, D. & Sabourian, H., 2003. "Complexity and Competition, Part I: Sequential Matching," Cambridge Working Papers in Economics 0345, Faculty of Economics, University of Cambridge.
    5. Miller, John H. & Tumminello, Michele, 2015. "Bazaar economics," Journal of Economic Behavior & Organization, Elsevier, vol. 119(C), pages 163-181.
    6. Lauermann, Stephan, 2012. "Asymmetric information in bilateral trade and in markets: An inversion result," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1969-1997.
    7. Klaus Kultti, 2010. "Inefficiency caused by random matching and heterogeneity," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 9(1), pages 19-28, April.

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    Keywords

    bargaining; bounded rationality; competitive equilibrium;

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