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Finite State Equilibria in Dynamic Games

Author

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  • Michihiro Kandori
  • Ichiro Obara

Abstract

An equilibrium in an infinite horizon game is called a finite state equilibrium, if each player's action on the equilibrium path is given by an automaton with a finite state space. We provide a complete characterization of this class of equilibria and provide a recursive computational method to check the equilibrium conditions. This encompasses the majority of existing works on repeated games with private monitoring.

Suggested Citation

  • Michihiro Kandori & Ichiro Obara, 2007. "Finite State Equilibria in Dynamic Games," 2007 Meeting Papers 253, Society for Economic Dynamics.
    • Handle: RePEc:red:sed007:253
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    References listed on IDEAS

    as
    1. Christopher Phelan & Andrzej Skrzypacz, 2006. "Private monitoring with infinite histories," Staff Report 383, Federal Reserve Bank of Minneapolis.
    2. Johannes Hörner & Wojciech Olszewski, 2006. "The Folk Theorem for Games with Private Almost-Perfect Monitoring," Econometrica, Econometric Society, vol. 74(6), pages 1499-1544, November.
    3. Jeffrey C. Ely & Johannes Hörner & Wojciech Olszewski, 2005. "Belief-Free Equilibria in Repeated Games," Econometrica, Econometric Society, vol. 73(2), pages 377-415, March.
    4. Michihiro Kandori & Ichiro Obara, 2006. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," Econometrica, Econometric Society, vol. 74(2), pages 499-519, March.
    5. Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, May.
    6. Bhaskar, V. & Obara, Ichiro, 2002. "Belief-Based Equilibria in the Repeated Prisoners' Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 40-69, January.
    7. Ely, Jeffrey C. & Valimaki, Juuso, 2002. "A Robust Folk Theorem for the Prisoner's Dilemma," Journal of Economic Theory, Elsevier, vol. 102(1), pages 84-105, January.
    8. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
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    Cited by:

    1. Oliver Compte & Andrew Postlewaite, 2010. "Plausible Cooperation, Fourth Version," PIER Working Paper Archive 15-006, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 23 Jan 2015.
    2. Olivier Compte & Andrew Postlewaite, 2007. "Effecting Cooperation," PIER Working Paper Archive 09-019, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 29 May 2009.
    3. Compte, Olivier & Postlewaite, Andrew, 2015. "Plausible cooperation," Games and Economic Behavior, Elsevier, vol. 91(C), pages 45-59.
    4. Andrew Postlewaite & Olivier Compte, 2008. "Repeated Relationships with Limits on Information Processing," PIER Working Paper Archive 08-026, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.

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