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Acceptable strategy profiles in stochastic games

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  • Solan, Eilon

Abstract

This paper presents a new solution concept for multiplayer stochastic games, namely, acceptable strategy profiles. For each player i and state s in a stochastic game, let wi(s) be a real number. A strategy profile is w-acceptable, where w=(wi(s)), if the discounted payoff to each player i at every initial state s is at least wi(s), provided the discount factor of the players is sufficiently close to 1. Our goal is to provide simple strategy profiles that are w-acceptable for payoff vectors w in which all coordinates are high.

Suggested Citation

  • Solan, Eilon, 2018. "Acceptable strategy profiles in stochastic games," Games and Economic Behavior, Elsevier, vol. 108(C), pages 523-540.
    • Handle: RePEc:eee:gamebe:v:108:y:2018:i:c:p:523-540
    DOI: 10.1016/j.geb.2017.01.011
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    Cited by:

    1. Eilon Solan, 2018. "The modified stochastic game," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1287-1327, November.

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    More about this item

    Keywords

    Stochastic games; Acceptable strategy profiles; Automata;
    All these keywords.

    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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