In this paper, we present the power control problem in CDMA wireless data networks in the analytical setting of non-cooperative game theory. User satisfaction is represented as a net utility function, which is the difference of a strictly concave function, based on signal to interference ratio, and a cost term on user's power. A detailed analysis for the existence and uniqueness of Nash equilibrium for the above non-cooperative game is presented. Next, a decentralized power control algorithm is developed which converges to the Nash Equilibrium, as demonstrated by both analytical and simulation methods. The framework is then extended to the multi-cell case, making user utilities depend on base-station assignment as well as powers. We propose a generalized algorithm that can handle base station assignment and hand-off, as well as power control, and study by extensive simulations its performance in a dynamic environment.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.