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Invariant Equilibrium in Discontinuous Bayesian Games

Author

Listed:
  • Blake A. Allison

    (Department of Economics, Emory University, Atlanta, GA 30322, USA)

  • Jason J. Lepore

    (Department of Economics, Orfalea College of Business, California Polytechnic State University, San Luis Obispo, CA 93407, USA)

Abstract

We provide sufficient conditions on the primitives of a class of discontinuous Bayesian games such that all games in the class share equilibria. If a Bayesian game in the class also satisfies a weak efficiency condition, then we show its normal form is better-reply secure. The invariance property then provides an existence result for all Bayesian games in the class. Results are shown for both pure strategy and behavioral strategy equilibrium. We illustrate the application of the results with an example of a class of contests with bid caps.

Suggested Citation

  • Blake A. Allison & Jason J. Lepore, 2024. "Invariant Equilibrium in Discontinuous Bayesian Games," Games, MDPI, vol. 15(3), pages 1-14, May.
    • Handle: RePEc:gam:jgames:v:15:y:2024:i:3:p:17-:d:1397829
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    References listed on IDEAS

    as
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    13. Allison, Blake A. & Bagh, Adib & Lepore, Jason J., 2018. "Sufficient conditions for weak reciprocal upper semi-continuity in mixed extensions of games," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 99-107.
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