The Gaussian interference channel revisited as a non-cooperative game with transmission cost

Abstract

We consider the Gaussian interference channel as a non-cooperative game taking into account the cost of the transmission. We study the conditions of the existence of a pure Nash equilibrium. Particularly, for the many-user case we give sufficient conditions that lead to a Nash equilibrium, and for the two-user case we exhaustively describe the conditions of the existence and the uniqueness of a pure Nash equilibrium and we show the existence of best-response dynamics that converge to one of them.