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Monotone equilibria in nonatomic supermodular games. A comment

Author

Listed:
  • Balbus, Lukasz
  • Reffett, Kevin
  • Wozny, Lukasz

Abstract

Recently Yang and Qi (2013) stated an interesting theorem on the existence of complete lattice of equilibria in a particular class of large nonatomic supermodular games for general action and players spaces. Unfortunately, their result is incorrect. In this note, we detail the nature of the problem with the stated theorem, provide a counterexample, and then correct the result under additional assumptions.

Suggested Citation

  • Balbus, Lukasz & Reffett, Kevin & Wozny, Lukasz, 2015. "Monotone equilibria in nonatomic supermodular games. A comment," Games and Economic Behavior, Elsevier, vol. 94(C), pages 182-187.
    • Handle: RePEc:eee:gamebe:v:94:y:2015:i:c:p:182-187
    DOI: 10.1016/j.geb.2015.05.010
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    Cited by:

    1. Rene Carmona & Francois Delarue & Daniel Lacker, 2016. "Mean field games of timing and models for bank runs," Papers 1606.03709, arXiv.org, revised Jan 2017.

    More about this item

    Keywords

    Large games; Supermodular games; Games with strategic complementarities; Distributional equilibria;
    All these keywords.

    JEL classification:

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

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