摘要：Nash (1951) proved the existence of mixed strategy Nash equilibria for nite games using Brouwer's, rather than Kakutani's, xed point theorem. This paper adapts Nash's (1951) proof to large games with a nite number of classes to establish the existence of pure strategy equilibria. The new approach sheds some light on the old results.
关键词：Brouwer's xed point theorem; existence; pure strategy;Nash equilibrium
