Pure-strategy ε-Nash equilibrium in two-person non-zero-sum games

Abstract

This paper considers two-person non-zero-sum games where the strategy spaces of players are compact intervals of real numbers and the payoff functions are upper semicontinuous. Under certain quasi-concavity assumptions, it is proved that such games possess ε- Nash equilibria in pure strategies for every ε > 0. AMS 1980 subject classification: 90D05, 90D13.