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Equilibrium Selection in Stochastic Games

Author

Listed:
  • P.Jean-Jacques Herings

    (University of Maastricht)

  • Ronald J.A.P. Peeters

    (University of Maastricht)

Abstract

In this paper a selection theory for stochastic games is developed. The theory itself is based on the ideas of Harsanyi and Selten 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 is consistent with the formulation of Harsanyi–Selten for games in standard form and captures stationarity.
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Suggested Citation

  • P.Jean-Jacques Herings & Ronald J.A.P. Peeters, 2001. "Equilibrium Selection in Stochastic Games," Game Theory and Information 0205002, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0205002
    Note: Type of Document - pdf.format; pages: 22 ; figures: i
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0205/0205002.pdf
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    Citations

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    Cited by:

    1. Steffen Eibelshäuser & Victor Klockmann & David Poensgen & Alicia von Schenk, 2023. "The Logarithmic Stochastic Tracing Procedure: A Homotopy Method to Compute Stationary Equilibria of Stochastic Games," INFORMS Journal on Computing, INFORMS, vol. 35(6), pages 1511-1526, November.
    2. 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.
    3. 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.
    4. Govindan, Srihari & Wilson, Robert, 2009. "Global Newton Method for stochastic games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 414-421, January.
    5. Cao, Yiyin & Dang, Chuangyin, 2022. "A variant of Harsanyi's tracing procedures to select a perfect equilibrium in normal form games," Games and Economic Behavior, Elsevier, vol. 134(C), pages 127-150.

    More about this item

    Keywords

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    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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