A Game-Theoretic Approach to Power Control in Ad Hoc Network

Ad hoc network is a kind of centerless, self-organized wireless network, in which all network transmitters are considered to be independent of any management infrastructure and to have the freedom to choose their own transmit power. Power control is one important component of radio resource management in Ad hoc network. In this paper, a new utility function with pricing of interference is presented and a game-theoretic approach to power control in Ad hoc network is proposed. We assume that the utility function only depends on SINR and the price function is proportional to interference. The existence and uniqueness of the Nash equilibrium in the non-cooperative power control game with pricing of interference are proved. As shown in simulation, the proposed distributed algorithm has a much faster convergence rate.