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

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