A power control game based on outage probabilities for multicell wireless data networks

Abstract

We present a game-theoretic treatment of distributed power control in CDMA wireless systems using outage probabilities. We prove that the noncooperative power control game considered admits a unique Nash equilibrium (NE) for uniformly strictly convex pricing functions and under some technical assumptions on the SIR threshold levels. We analyze global convergence of continuous-time as well as discrete-time synchronous and asynchronous iterative power update algorithms to the unique NE of the game. Furthermore, a stochastic version of the discrete-time update scheme, which models the uncertainty due to quantization and estimation errors, is shown to converge almost surely to the unique NE poin..