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A folk theorem for repeated games played on a network

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  • Laclau, Marie

Abstract

I consider repeated games on a network where players interact and communicate with their neighbors. At each stage, players choose actions and exchange private messages with their neighbors. The payoff of a player depends only on his own action and on the actions of his neighbors. At the end of each stage, a player is only informed of his payoff and of the messages he received from his neighbors. Payoffs are assumed to be sensitive to unilateral deviations. The main result is to establish a necessary and sufficient condition on the network for a Nash folk theorem to hold, for any such payoff function.

Suggested Citation

  • Laclau, Marie, 2012. "A folk theorem for repeated games played on a network," Games and Economic Behavior, Elsevier, vol. 76(2), pages 711-737.
  • Handle: RePEc:eee:gamebe:v:76:y:2012:i:2:p:711-737
    DOI: 10.1016/j.geb.2012.08.008
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    References listed on IDEAS

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    Cited by:

    1. Laclau, M., 2014. "Communication in repeated network games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 87(C), pages 136-160.
    2. Marie Laclau, 2012. "Local Communication in Repeated Games with Local Monitoring," PSE Working Papers hal-01285070, HAL.
    3. Marie Laclau, 2012. "Local Communication in Repeated Games with Local Monitoring," Working Papers hal-01285070, HAL.
    4. repec:eee:gamebe:v:107:y:2018:i:c:p:220-237 is not listed on IDEAS

    More about this item

    Keywords

    Repeated games; Imperfect monitoring; Networks; Folk theorem; Communication protocols;

    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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