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Belief-free equilibria in games with incomplete information: characterization and existence

Author

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  • Lovo, Stefano
  • Tomala, Tristan
  • Hörner, Johannes

Abstract

In this paper, the authors characterize belief-free equilibria in infinitely repeated games with incomplete information with N \ge 2 players and arbitrary information structures. This characterization involves a new type of individual rational constraint linking the lowest equilibrium payoffs across players. The characterization is tight: we define a set of payoffs that contains all the belief-free equilibrium payoffs; conversely, any point in the interior of this set is a belief-free equilibrium payoff vector when players are sufficiently patient. Further, we provide necessary conditions and sufficient conditions on the information structure for this set to be non-empty, both for the case of known-own payoffs, and for arbitrary payoffs.

Suggested Citation

  • Lovo, Stefano & Tomala, Tristan & Hörner, Johannes, 2009. "Belief-free equilibria in games with incomplete information: characterization and existence," HEC Research Papers Series 921, HEC Paris.
    • Handle: RePEc:ebg:heccah:0921
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    repeated game with incomplete information; Harsanyi doctrine; belief-free equilibria;
    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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