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Invariance of the equilibrium set of games with an endogenous sharing rule

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  • Carmona, Guilherme
  • Podczeck, Konrad

Abstract

We consider games with an endogenous sharing rule and provide conditions for the invariance of the equilibrium set, i.e., for the existence of a common equilibrium set for the games defined by each possible sharing rule. Applications of our results include Bertrand competition with convex costs, electoral competition, and contests.

Suggested Citation

  • Carmona, Guilherme & Podczeck, Konrad, 2018. "Invariance of the equilibrium set of games with an endogenous sharing rule," Journal of Economic Theory, Elsevier, vol. 177(C), pages 1-33.
    • Handle: RePEc:eee:jetheo:v:177:y:2018:i:c:p:1-33
    DOI: 10.1016/j.jet.2018.05.011
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    Cited by:

    1. Allison, Blake A. & Bagh, Adib & Lepore, Jason J., 2022. "Invariant equilibria and classes of equivalent games," Games and Economic Behavior, Elsevier, vol. 132(C), pages 448-462.
    2. Haimanko, Ori, 2024. "Bayesian Nash equilibrium in all-pay auctions with interdependent types," Games and Economic Behavior, Elsevier, vol. 146(C), pages 222-233.
    3. Carmona, Guilherme, 2019. "On the existence of limit admissible equilibria in discontinuous games," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 14-21.
    4. Renato Soeiro & Alberto A. Pinto, 2023. "Negative network effects and asymmetric pure price equilibria," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 22(1), pages 99-124, January.
    5. Hervé Crès & Mich Tvede, 2023. "Corporate self-regulation of imperfect competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1181-1205, May.
    6. Olszewski, Wojciech & Siegel, Ron, 2023. "Equilibrium existence in contests with bid caps," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    7. Olszewski, Wojciech & Siegel, Ron, 2023. "Equilibrium existence in games with ties," Theoretical Economics, Econometric Society, vol. 18(2), May.

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    More about this item

    Keywords

    Games with an endogenous sharing rule; Discontinuous games; Equilibrium; Invariance;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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