Interference in wireless networks with rate difference user utilities

As efforts are made to increase the number of devices connected wirelessly, interference continues to be a challenging barrier to the efficient performance of wireless networks. We consider interference in a wireless network under a game-theoretic model where wireless users seek to maximize a difference between their information rates and the rates of other users in the network. A user must allocate power between its channel input and an interference input that is injected into its competitor's channel. Nash equilibria (NE) for the K-user game are characterized when the game is played over one block transmission. Under certain symmetry conditions on the users, it is shown the power allocated to each user's interference input goes to zero at the single block NE as the number of users in the network grows large. When the two-user game is played over consecutive blocks, it is shown that two-user cooperation is feasible such that an interference-free game equilibrium can be enforced.