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Markov equilibria in dynamic matching and bargaining games

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  • Gale, Douglas
  • Sabourian, Hamid

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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  • Gale, Douglas & Sabourian, Hamid, 2006. "Markov equilibria in dynamic matching and bargaining games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 336-352, February.
  • Handle: RePEc:eee:gamebe:v:54:y:2006:i:2:p:336-352
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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. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
    3. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
    4. Masso, Jordi & Rosenthal, Robert W., 1989. "More on the "anti-folk theorem"," Journal of Mathematical Economics, Elsevier, vol. 18(3), pages 281-290, June.
    5. K. G. Binmore & M. J. Herrero, 1988. "Security Equilibrium," Review of Economic Studies, Oxford University Press, vol. 55(1), pages 33-48.
    6. 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.
    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 807-818, July.
    9. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    10. Kalyan Chatterjee & Hamid Sabourian, 2000. "Multiperson Bargaining and Strategic Complexity," Econometrica, Econometric Society, vol. 68(6), pages 1491-1510, November.
    11. 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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