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Equilibrium existence in games with ties

Author

Listed:
  • Olszewski, Wojciech

    (Department of Economics, Northwestern University)

  • Siegel, Ron

    (Department of Economics, The Pennsylvania State University)

Abstract

We provide conditions that simplify applying Reny's (1999) better-reply security to Bayesian games, and use these conditions to prove the existence of equilibria for classes of games in which payoff discontinuities arise only at "ties." These games include a general version of all-pay contests, first-prize auctions with common values, and Hotelling models with incomplete information.

Suggested Citation

  • Olszewski, Wojciech & Siegel, Ron, 2023. "Equilibrium existence in games with ties," Theoretical Economics, Econometric Society, vol. 18(2), May.
    • Handle: RePEc:the:publsh:5067
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    References listed on IDEAS

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    Cited by:

    1. Olszewski, Wojciech & Siegel, Ron, 2023. "Equilibrium existence in contests with bid caps," Journal of Mathematical Economics, Elsevier, vol. 104(C).

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    More about this item

    Keywords

    Equilibrium existence; discontinuous games; better-reply security;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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