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Partial exposure in large games

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  • Gradwohl, Ronen
  • Reingold, Omer

Abstract

In this work we introduce the notion of partial exposure, in which the players of a simultaneous-move Bayesian game are exposed to the realized types and chosen actions of a subset of the other players. We show that in any large simultaneous-move game, each player has very little regret even after being partially exposed to other players. If players are given the opportunity to be exposed to others at the expense of a small decrease in utility, players will decline this opportunity, and the original Nash equilibria of the game will survive.

Suggested Citation

  • Gradwohl, Ronen & Reingold, Omer, 2010. "Partial exposure in large games," Games and Economic Behavior, Elsevier, vol. 68(2), pages 602-613, March.
    • Handle: RePEc:eee:gamebe:v:68:y:2010:i:2:p:602-613
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    References listed on IDEAS

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    Cited by:

    1. Ron Peretz & Amnon Schreiber & Ernst Schulte-Geers, 2022. "The Lipschitz constant of perturbed anonymous games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 293-306, June.
    2. Yaron Azrieli & Eran Shmaya, 2013. "Lipschitz Games," Mathematics of Operations Research, INFORMS, vol. 38(2), pages 350-357, May.
    3. Gradwohl, Ronen & Reingold, Omer, 2014. "Fault tolerance in large games," Games and Economic Behavior, Elsevier, vol. 86(C), pages 438-457.
    4. Yang, Jian, 2022. "A Bayesian nonatomic game and its applicability to finite-player situations," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    5. Carmona, Guilherme & Podczeck, Konrad, 2012. "Ex-post stability of Bayes–Nash equilibria of large games," Games and Economic Behavior, Elsevier, vol. 74(1), pages 418-430.
    6. Deb, Joyee & Kalai, Ehud, 2015. "Stability in large Bayesian games with heterogeneous players," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1041-1055.
    7. Carmona, Guilherme & Podczeck, Konrad, 2020. "Pure strategy Nash equilibria of large finite-player games and their relationship to non-atomic games," Journal of Economic Theory, Elsevier, vol. 187(C).

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