Minimizing Uplink Cellular Outage Probability in Interference Limited Rayleigh and Nakagami Wireless Fading Channels

We propose a game theoretic non-cooperative algorithm to optimize the induced outage probability in an uplink cellular interference limited wireless Rayleigh and Nakagami fading channels. We achieve this target by maximizing the certainty equivalent margin (CEM). We derive a closed-form formula of the outage probability in Nakagami flat-fading channels, then we show that minimizing the induced outage fading probability for both Rayleigh and Nakagami channels is equivalent to maximizing CEM. We present a non-cooperative power control algorithm using the game theory framework. Through this non-cooperative game, we argue that the best decision in such an environment is for all users to transmit at the minimum power in their corresponding strategy profiles. This finding considerably simplifies the implementation of the proposed game.