On the Existence of Pure Strategy Equilibria in Games with a Continuum of Players

Abstract

We present results on the existence of pure strategy Nash equilibria in nonatomic games. We also show by means of counterexamples that the stringent conditions on the cardinality of action sets cannot be relaxed, and thus resolve questions which have remained open since Schmeidler's 1973 paper.Journal of Economic LiteratureClassification Number: C72.