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Large incomplete-information games with independent types

Author

Listed:
  • Guilherme Carmona

    (University of Surrey)

  • Konrad Podczeck

    (Universität Wien)

Abstract

We consider Bayes–Nash equilibria of large semi-anonymous games (i.e., each player’s payoff is determined by his type, his action, and the distribution of the realized types and choices of the others). In a model with finite type and action spaces, we provide a characterization of limits of sequences of Bayes-Nash equilibria as the number of players goes to infinity. Based on this, we show that strict pure-strategy Bayes–Nash equilibria exist in all sufficiently large finite-player games for generic distributions of players’ payoff functions and type distributions.

Suggested Citation

  • Guilherme Carmona & Konrad Podczeck, 2025. "Large incomplete-information games with independent types," International Journal of Game Theory, Springer;Game Theory Society, vol. 54(1), pages 1-17, June.
    • Handle: RePEc:spr:jogath:v:54:y:2025:i:1:d:10.1007_s00182-025-00932-8
    DOI: 10.1007/s00182-025-00932-8
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    References listed on IDEAS

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    13. Deb, Joyee & Kalai, Ehud, 2015. "Stability in large Bayesian games with heterogeneous players," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1041-1055.
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    More about this item

    Keywords

    Large games; Pure strategy; Bayes–Nash equilibrium; Generic property;
    All these keywords.

    JEL classification:

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

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