Equilibrium selection in interference management non-cooperative games in femtocell networks

In this paper we apply a special class of n-person non-cooperative games, which we call Weakly Coupled Constrained Games (WCCG), in femtocell systems to manage the aggregated interference they may generate at macrocell associated users. WCCG have the following structure: the utility of a player depends only on its own assignment and interactions between players appear through extra constraints. Non-cooperative games with common constraints have infinitely many equilibria, we focus on selecting one, the normalized Nash equilibrium, which has some desirable scalable properties related to pricing, establish its uniqueness and compute it in a closed form.