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Purification of Bayes Nash equilibrium with correlated types and interdependent payoffs

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  • Barelli, Paulo
  • Duggan, John

Abstract

We establish purification results for Bayes–Nash equilibrium in a large class of Bayesian games with finite sets of pure actions. We allow for correlated types and interdependent payoffs and for type-dependent feasible action sets. The latter feature allows us to prove existence and purification results for pure Bayes–Nash equilibria in undominated strategies. We give applications to auctions, global games, and voting to illustrate the usefulness of our results.

Suggested Citation

  • Barelli, Paulo & Duggan, John, 2015. "Purification of Bayes Nash equilibrium with correlated types and interdependent payoffs," Games and Economic Behavior, Elsevier, vol. 94(C), pages 1-14.
    • Handle: RePEc:eee:gamebe:v:94:y:2015:i:c:p:1-14
    DOI: 10.1016/j.geb.2015.08.005
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    Cited by:

    1. Fu, Haifeng & Yu, Haomiao, 2018. "Pareto refinements of pure-strategy equilibria in games with public and private information," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 18-26.
    2. He, Wei & Sun, Yeneng, 2019. "Pure-strategy equilibria in Bayesian games," Journal of Economic Theory, Elsevier, vol. 180(C), pages 11-49.
    3. Khan, M. Ali & Zhang, Yongchao, 2018. "On pure-strategy equilibria in games with correlated information," Games and Economic Behavior, Elsevier, vol. 111(C), pages 289-304.

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    More about this item

    Keywords

    Bayes–Nash equilibrium; Purification; Undominated strategies; Correlated information; Interdependent payoffs;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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