Pure-Strategy ε-Nash Equilibrium inn-Person Nonzero-Sum Discontinuous Games

In this paper we considern-person nonzero-sum games where the strategy spaces of players are compact subsets ofR^s. The main result states that if the payoff functions are semicontinuous and strongly quasi-concave then an ε-Nash equilibrium in pure strategies exists for every positive ε.Journal of Economic LiteratureClassification Number: C72.