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Equilibrium Selection in Stochastic Games

Author

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  • Herings,P. Jean-Jacques
  • Peeters,Ronald J.A.P.

    (METEOR)

Abstract

In this paper a selection theory for stochastic games is developed. The theory itself is based on the ideas of Harsanyi and Selton to select equilibria for games in standard form. We introduce several possible definitions for the stochastic tracing procedure, an extension of the linear tracing procedure to the class of stochastic games. We analyze the properties of these alternative definitions. We show that exactly one of the proposed extensions ois consistent with the formulation of Harsanyi-Selten for games in standard form and captures stationarity.

Suggested Citation

  • Herings,P. Jean-Jacques & Peeters,Ronald J.A.P., 2001. "Equilibrium Selection in Stochastic Games," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2001009
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    File URL: https://cris.maastrichtuniversity.nl/portal/files/714208/content
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    References listed on IDEAS

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    1. Andrew McLennan, 2005. "The Expected Number of Nash Equilibria of a Normal Form Game," Econometrica, Econometric Society, vol. 73(1), pages 141-174, January.
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    Cited by:

    1. Ramsey, David M. & Szajowski, Krzysztof, 2008. "Selection of a correlated equilibrium in Markov stopping games," European Journal of Operational Research, Elsevier, vol. 184(1), pages 185-206, January.
    2. Murat Kurt & Mark S. Roberts & Andrew J. Schaefer & M. Utku Ünver, 2011. "Valuing Prearranged Paired Kidney Exchanges: A Stochastic Game Approach," Boston College Working Papers in Economics 785, Boston College Department of Economics, revised 14 Oct 2011.

    More about this item

    Keywords

    microeconomics ;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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