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Compressed Equilibrium in Large Repeated Games of Incomplete Information

Author

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  • Ehud Kalai
  • Eran Shmaya

Abstract

Due to their many applications, large Bayesian games have been a subject of growing interest in game theory and related fields. But to a large extent, models (1) have been restricted to one-shot interaction, (2) are based on an assumption that player types are independent and (3) assume that the number of players is known. The current paper develops a general theory of Bayesian repeated large games that avoids some of these difficulties. To make the analysis more robust, it develops a concept of compressed equilibrium which is applicable to a general class of Bayesian repeated large anonymous games. JEL Classification Numbers: C72, C72

Suggested Citation

  • Ehud Kalai & Eran Shmaya, 2013. "Compressed Equilibrium in Large Repeated Games of Incomplete Information," Discussion Papers 1562, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1562
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    Cited by:

    1. Khan, Mohammed Ali & Rath, Kali P. & Yu, Haomiao & Zhang, Yongchao, 2017. "On the equivalence of large individualized and distributionalized games," Theoretical Economics, Econometric Society, vol. 12(2), May.

    More about this item

    Keywords

    Nash Anonymous games; Nash equilibrium; Repeated games; Large games; Bayesian equilibrium; Price taking; Rational expectations;
    All these keywords.

    JEL classification:

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

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