A game-theoretic approach to power allocation in frequency-selective gaussian interference channels

Abstract

This paper defines a rate maximization power allocation game in a frequency selective Gaus- sian interference channel, after assuming a suboptimal but pragmatic multi-user coding scheme. We show that the Nash equilibrium always exists in this game. We consider a distributed power allocation scheme (l, Section IV.), and provide a sufficient condition for the convergence of the distributed algorithm. The condi- tion for the convergence is also a sufficient condition under which the Nash equilibrium is unique. I. PROBLEM FORMULATION