Distributed Power Control For Wireless Ad Hoc Networks: A Game-Theoretic Approach Based On Best-Response Functions

This paper presents it novel framework for distributed power control for ad-hoe wireless networks. We analyze dynamic adaptive power allocation assuming that transmit power is adjusted with respect to experienced interference based on general best-response functions. For this purpose, we develop a general non-cooperative game-theoretic framework in order to characterize optimal equilibrium states and convergence of distributed power control dynamics to such states. Our work provides a more general insight to game-theoretic power control compared to most of recent works in this field. Moreover, our framework is developed in an abstract way without :my technical assumption on particular modulation, coding, QoS measure definition or network architecture. To demonstrate an application of our framework, we show that stable linear hest-response power control converges exponentially to a unique Nash equilibrium for any initial condition, which we confirm by numerical simulations in comparison with an algorithm based on [1].