In this paper, we examine the class of congestion games with player-specific payoff functions introduced by Milchtaich, I. (1996). Focusing on the special case of two resources, we give a short and simple method for identifying all Nash equilibria in pure strategies. We also provide a...

We consider an n-person non-zero-sum non-cooperative game in normal form, where the strategy sets are some closed intervals of the real line. It is shown that if the pay-off functions are continuous on the whole space and if for each pay-off function the smallest local maximum in the strategy...