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The evolution of conventions under incomplete information

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  • Mogens Jensen
  • Birgitte Sloth
  • Hans Whitta-Jacobsen

Abstract

We formulate an evolutionary learning process with trembles for static games of incomplete information. For many games, if the amount of trembling is small, play will be in accordance with the games’ (strict) Bayesian equilibria most of the time. This supports the notion of Bayesian equilibrium. Often the process will select a specific equilibrium. We study an extension to incomplete information of the prototype conflict known as “Chicken” and find that the equilibrium selection by evolutionary learning may well be in favor of inefficient Bayesian equilibria where some types of players fail to coordinate. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Mogens Jensen & Birgitte Sloth & Hans Whitta-Jacobsen, 2005. "The evolution of conventions under incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(1), pages 171-185, January.
  • Handle: RePEc:spr:joecth:v:25:y:2005:i:1:p:171-185
    DOI: 10.1007/s00199-003-0460-6
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    Cited by:

    1. Cabrales, Antonio & Serrano, Roberto, 2011. "Implementation in adaptive better-response dynamics: Towards a general theory of bounded rationality in mechanisms," Games and Economic Behavior, Elsevier, vol. 73(2), pages 360-374.
    2. Rene Saran & Roberto Serrano, 2010. "Ex-post regret learning in games with fixed and random matching: The case of private values," Working Papers 2010-11, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    3. Saran, Rene & Serrano, Roberto, 2014. "Ex-post regret heuristics under private values (I): Fixed and random matching," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 97-111.
    4. Rene Saran & Roberto Serrano, 2007. "The Evolution of Bidding Behavior in Private-Values Auctions and Double Auctions," Working Papers wp2007_0712, CEMFI.

    More about this item

    Keywords

    Static games of incomplete information; Bayesian games; Evolution; Conventions; Chicken.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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