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Repeated proximity games

Author

Listed:
  • JÊrÆme Renault

    (CERMSEM, UniversitÊ Paris 1, PanthÊon-Sorbonne, 106-112 Bd de l'HÆpital, F-75647 Paris Cedex 13, France)

  • Tristan Tomala

    (CERMSEM, UniversitÊ Paris 1, PanthÊon-Sorbonne, 106-112 Bd de l'HÆpital, F-75647 Paris Cedex 13, France)

Abstract

We consider repeated games with complete information and imperfect monitoring, where each player is assigned a fixed subset of players and only observes the moves chosen by the players in this subset. This structure is naturally represented by a directed graph. We prove that a generalized folk theorem holds for any payoff function if and only if the graph is 2-connected, and then extend this result to the context of finitely repeated games.

Suggested Citation

  • JÊrÆme Renault & Tristan Tomala, 1998. "Repeated proximity games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 539-559.
    • Handle: RePEc:spr:jogath:v:27:y:1998:i:4:p:539-559
    Note: Received June 1997/Revised version March 1998
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    Keywords

    Repeated games · Folk theorem · imperfect monitoring · graphs;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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