Nash equilibria of discontinuous non-zero-sum two-person games

The paper investigates two classes of non-zero-sum two-person games on the unit square, where the payoff function of Player 1 is convex or concave in the first variable. It is shown that this assumption together with the boundedness of payoff functions imply the existence of -Nash equilibria consisting of two probability measures concentrated at most at two points each.This research project No. 211589101 was supported by KBN Grant under contract 664/2/91.