An Anonymous Sequential Game Approach for Battery State Dependent Power Control

Abstract

The sensitivity of mobile terminals to energy and power limitations keeps posing challenges to wireless technology. The ratio between the useful signal’s power and that of noise and interferences has a crucial impact on the achievable throughputs and on outage aspects, little has been done concerning another central challenge that limited energy poses: that of limitation on battery life. In this paper we study power control in a way that combines the two aforementioned aspects. We propose a modeling approach which extends the Anonymous Sequential Game framework introduced in 1988 by Jovanovic and Rosenthal. The approach is designed for systems that have a very large number of interacting decision makers, so large that they can be modeled as a continuum of players. We introduce an appropriate equilibrium concept for this game (which extends the Wardrop equilibrium by including random individual states with controlled transitions), characterize the structure of the equilibrium policies and provide two efficient equilibrium computation procedures.