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Bayesian Nash Equilibrium Existence In (Almost Continuous) Contests

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  • Ori Haimanko

    (BGU)

Abstract

We prove the existence of a behavioral-strategy Bayesian Nash equilibrium in contests where each contestant’s probability to win is continuous in efforts outside the zero-effort profile, monotone in his own effort, and greater that 1/2 if that contestant is the only one exerting positive effort. General type spaces, and in particular a continuum of information types, are allowed. As a corollary, the existence of a pure-strategy Bayesian Nash equilibrium is established in generalized Tullock contests, where the probability to win is strictly concave in one’s own effort for any non-zero effort profile of other players.
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Suggested Citation

  • Ori Haimanko, 2020. "Bayesian Nash Equilibrium Existence In (Almost Continuous) Contests," Working Papers 2013, Ben-Gurion University of the Negev, Department of Economics.
    • Handle: RePEc:bgu:wpaper:2013
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    Cited by:

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    2. Ben Chen & José A. Rodrigues-Neto, 2023. "The interaction of emotions and cost-shifting rules in civil litigation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 841-885, April.
    3. Pavlo Prokopovych & Nicholas C. Yannelis, 2022. "On nondegenerate equilibria of double auctions with several buyers and a price floor," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 625-654, April.
    4. Vladimir Petkov, 2023. "Prize formation and sharing in multi-stage contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 259-289, January.
    5. Ori Haimanko, 2022. "Equilibrium existence in two-player contests without absolute continuity of information," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 27-39, May.
    6. Ori Haimanko, 2021. "Bayesian Nash equilibrium existence in (almost continuous) contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1231-1258, April.

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    More about this item

    Keywords

    Generalized Tullock contests; Bayesian Nash Equilibrium; equi- librium existence; absolute continuity; information structures; continuum of types;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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