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Belief-Free Equilibria in Games With Incomplete Information

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  • Johannes Hörner
  • Stefano Lovo
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    Abstract

    We define belief-free equilibria in two-player games with incomplete information as sequential equilibria for which players' continuation strategies are best replies after every history, independently of their beliefs about the state of nature. We characterize a set of payoffs that includes all belief-free equilibrium payoffs. Conversely, any payoff in the interior of this set is a belief-free equilibrium payoff. The characterization is applied to the analysis of reputations. Copyright 2009 The Econometric Society.

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    Bibliographic Info

    Article provided by Econometric Society in its journal Econometrica.

    Volume (Year): 77 (2009)
    Issue (Month): 2 (03)
    Pages: 453-487

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    Handle: RePEc:ecm:emetrp:v:77:y:2009:i:2:p:453-487

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    Cited by:
    1. Gabrel, Virginie & Murat, Cécile & Thiele, Aurélie, 2014. "Recent advances in robust optimization: An overview," European Journal of Operational Research, Elsevier, vol. 235(3), pages 471-483.
    2. Carlsson, Hans & Wichardt, Philipp C., 2012. "On the belief (in-)dependence of sequential equilibria," Economics Letters, Elsevier, vol. 115(3), pages 504-507.
    3. Breitmoser, Yves, 2012. "Cooperation, but no reciprocity: Individual strategies in the repeated Prisoner's Dilemma," MPRA Paper 41731, University Library of Munich, Germany.
    4. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "Learning from private information in noisy repeated games," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1733-1769, September.
    5. Rosenberg, Dinah & Solan, Eilon & Vieille, Nicolas, 2013. "Strategic information exchange," Games and Economic Behavior, Elsevier, vol. 82(C), pages 444-467.
    6. Francoise Forges & Antoine Salomon, 2014. "Bayesian Repeated Games and Reputations," CESifo Working Paper Series 4700, CESifo Group Munich.
    7. Lovo, Stefano & Tomala, Tristan & Hörner, Johannes, 2009. "Belief-free equilibria in games with incomplete information: characterization and existence," Les Cahiers de Recherche 921, HEC Paris.

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