A class of non cooperative games characterized by a "congestion effect" is studied, in which there exists a strong Nash equilibrium, and the set of Nash equilibria, the set of strong Nash equilibria and the set of strategy profiles maximizing the potential function coincide. The structure of the...

This paper provides an overview of the various shapes the bestreply multifunctions can take in 2x2x2 trimatrix games. It is shown that, unlike in 2x2 bimatrix games, the best replies to the opponents pure strategies do not completely determine the structure of the Nash equilibrium set

We provide sufficient and necessary conditions for the generic finiteness of the number of distributions on outcomes, induced by the completely mixed Nash equilibria associated to a bimatrix outcome game form. These equivalent conditions are stated in terms of the ranks of two matrices...

We show the generic finiteness of the number of probability distributions on outcomes induced by Nash equilibria for two-person game forms such that either (i) one of the players has no more than two strategies or (ii) both of the players have three strategies, and (iii) for outcome game forms...