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Equilibrium Existence In Games With A Concave Bayesian Potential

Author

Listed:
  • Ezra Einy

    (BGU)

  • Ori Haimanko

    (BGU)

Abstract

We establish existence of a pure-strategy Bayesian Nash equilibrium in Bayesian games that have a continuous and concave potential at all states of nature, without assuming absolute continuity of information. As an application, we show that Bayesian Nash equilibrium exists in many well-known games that have semi-quadratic payoffs (including Bertrand and Cournot oligopolies with linear demand), for general information structures.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Ezra Einy & Ori Haimanko, 2020. "Equilibrium Existence In Games With A Concave Bayesian Potential," Working Papers 2002, Ben-Gurion University of the Negev, Department of Economics.
    • Handle: RePEc:bgu:wpaper:2002
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    File URL: https://in.bgu.ac.il/en/humsos/Econ/Workingpapers/2002.pdf
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    References listed on IDEAS

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    Cited by:

    1. Einy, Ezra & Haimanko, Ori, 2023. "Pure-strategy equilibrium in Bayesian potential games with absolutely continuous information," Games and Economic Behavior, Elsevier, vol. 140(C), pages 341-347.

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    More about this item

    Keywords

    Bayesian games; (weighted) Bayesian potential; equilibrium existence; concave payoffs; absolute continuity; information structures.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • 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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