Much research has been devoted to the tradeoff between throughput and power consumption. Yet little has been done concerning another central challenge: the limitation on battery life. In this paper we study power control in a way that combines all above-mentioned aspects. We propose an appropriate performance metric and establish an optimization framework to analyze it: an adaptation of the Anonymous Sequential Game framework introduced in 1988 by Jovanovic and Rosenthal. We characterize the structure of the equilibrium policies, and provide a fast algorithm to reach equilibrium.