Stable Networking Games

We study a class of population game frameworks called stable games, introduced by Hofbauer and Sandholm (2007). We give several examples of applications of stable population games in the context of wireless networks including resource allocation, impact of malicious users in cognitive radio networks and power control. We model and analyze a base station assignment problem and interference control scenarios in heterogenous wireless networks as a non-Zero sum stable game. We show that the resource selection game has a unique evolutionary stable strategy (ESS) and a unique correlated ESS. We give a class of evolutionary game dynamics to lead to the ESS.