Stochastic differential games and energy-efficient power control (Q367443)

The authors formulate the problem of energy-efficient power control in multiple access channels as a stochastic differential game. The players are the transmitters who adapt their power level to the quality of their time-varying link with the receiver, their battery level, and the strategy updates of the others. A simple sufficient condition for the existence of a Nash equilibrium in this game is provided and shown to be verified in a typical scenario. The uniqueness and determination of the equilibria are considered in the case of a single player using a mean-field game approach for which reasonable sufficient conditions for convergence and uniqueness are provided.