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The Repeated Prisoner’s Dilemma in a Network

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  • Markus Kinateder

    (Universidad de Navarra)

Abstract

Imperfect private monitoring in an infinitely repeated discounted Prisoner’s Dilemma played on a communication network is studied. Players observe their direct neighbors’ behavior only, but communicate strategically the repeated game’s history throughout the network. The delay in receiving this information requires the players to be more patient to sustain the same level of cooperation as in a complete network, although a Folk Theorem obtains when the players are patient enough. All equilibria under exogenously imposed truth-telling extend to strategic communication, and additional ones arise due to richer communication. There are equilibria in which a player lies. The flow of information is related with network centrality measures.

Suggested Citation

  • Markus Kinateder, 2010. "The Repeated Prisoner’s Dilemma in a Network," Working Papers 2010.120, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2010.120
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    Cited by:

    1. Markus Kinateder, 2013. "Delayed perfect monitoring in repeated games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 283-294, February.

    More about this item

    Keywords

    Repeated Game; Prisoner’s Dilemma; Imperfect Private Monitoring; Network; Strategic Communication; Centrality;
    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
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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