Economic Theory

, Volume 26, Issue 1, pp 237–241 | Cite as

Large games with transformed summary statistics

Exposita Note

Summary.

The existence of pure-strategy Nash equilibrium is shown for a non-cooperative game with a continuum of small players and a compact action space. The players’ payoffs depend on their own actions and the mean of the transformed strategy profiles. This covers the case when the payoffs depend on players’ own actions and finitely many summary statistics.

Keywords and Phrases:

Large games Transformed summary statistics Pure-strategy Nash equilibrium. 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  1. 1.Department of MathematicsNational University of SingaporeSingaporeRepublic of Singapore

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