Journal of Statistical Physics

, Volume 7, Issue 4, pp 295–300 | Cite as

Equilibrium points of nonatomic games

  • David Schmeidler


The Nash theorem on the existence of equilibrium points inTV-person non-cooperative games in normal form is generalized to the case when there is a continuum of players endowed with a nonatomic measure. The mathematical tools are those used in mathematical economics, in particular, markets with a continuum of traders. The main result shows that under a restriction on the payoff functions there exists an equilibrium in pure strategies.

Key words

Games nonatomic games equilibrium point set-valued function fixed point 


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Copyright information

© Plenum Publishing Corporation 1973

Authors and Affiliations

  • David Schmeidler
    • 1
  1. 1.Department of EconomicsTel-Aviv UniversityTel-AvivIsrael

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