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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 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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  • 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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    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. K. G. Binmore & M. J. Herrero, 1988. "Security Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(1), pages 33-48.
    5. Ariel Rubinstein & Asher Wolinsky, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 63-78.
    6. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
    7. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-818, July.
    8. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    9. K. G. Binmore & M. J. Herrero, 1988. "Matching and Bargaining in Dynamic Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(1), pages 17-31.
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    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. 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.
    3. Agranov, M. & Elliott, M., 2017. "Commitment and (In)Efficiency: A Bargaining Experiment," Cambridge Working Papers in Economics 1743, Faculty of Economics, University of Cambridge.
    4. Matt Elliott & Francesco Nava, 2015. "Decentralized Bargaining: Efficiency and the Core," STICERD - Theoretical Economics Paper Series /2015/567, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    5. Konishi, Hideo & Sapozhnikov, Margarita, 2008. "Decentralized matching markets with endogenous salaries," Games and Economic Behavior, Elsevier, vol. 64(1), pages 193-218, September.
    6. Elliott, M. & Nava, F., 2017. "Decentralized Bargaining in Matching Markets: Efficient Stationary Equilibria and the Core," Cambridge Working Papers in Economics 1742, Faculty of Economics, University of Cambridge.
    7. Elliott, Matthew L. & Nava, Francesco, 2019. "Decentralized bargaining in matching markets: efficient stationary equilibria and the core," Theoretical Economics, Econometric Society, vol. 14(1), January.
    8. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
    9. Gale, D. & Sabourian, H., 2003. "Complexity and Competition, Part I: Sequential Matching," Cambridge Working Papers in Economics 0345, Faculty of Economics, University of Cambridge.
    10. Elliott, Matt & Nava, Francesco, 2019. "Decentralized bargaining in matching markets: efficient stationary equilibria and the core," LSE Research Online Documents on Economics 87219, London School of Economics and Political Science, LSE Library.
    11. Miller, John H. & Tumminello, Michele, 2015. "Bazaar economics," Journal of Economic Behavior & Organization, Elsevier, vol. 119(C), pages 163-181.
    12. 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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