 
Summary: 1
Performance of Game Theoretic Power Control
Algorithms In Interference Limited Wireless
Fading Channels
M. Hayajneh & C.T. Abdallah
Dept. of Electrical & Computer Engr., Univ. of New Mexico,
EECE Bldg., Albuquerque, NM 871311356, USA.
{hayajneh,chaouki}@ eece.unm.edu
Abstract
We consider a gametheoretic power control algorithm in interference limited fading channels, where we propose a
distributed (noncooperative) algorithm to optimize the induced fading outage probability by maximizing the certainty
equivalent margin (CEM). We prove that the problem of maximizing CEM is the same (up to an upper bound) as
minimizing the induced outage fading probability, and provide a distributed game theoretic power control algorithm.
I. INTRODUCTION
The mathematical theory of games was introduced by John Von Neumann and Oskar Morgenstern in 1944 [9]. In the
late 1970's game theory became an important tool in the analyst's hand whenever he or she faces a situation in which
a player's decision depends on what the other players did or will do. A core idea of game theory is the way strategic
interactions between rational agents (players), generates outcomes according to the players' preferences [5],[10]. A
player in a noncooperative game responds to the actions of other players by choosing a strategy (from his strategy
space) in an attempt to optimize a target function that quantifies the quality level, i.e. its level of satisfaction.
