Game-Theoretic based Power Allocation for a Full Duplex D2D Network

This work addresses the power allocation optimization problem of a full-duplex (FD) D2D underlaying cellular network. In particular, we aim at providing a distributed power allocation (PA) algorithm for this type of network. Towards this end, first, we formulate the PA problem as a non-cooperative game in which each user decides how much power to transmit over its allocated channel to maximize its link's energy efficiency (EE). Next, we show that this game admits a unique Nash equilibrium (NE) point which can be obtained through an iterative process. After that, we show that this iterative algorithm can be implemented in a fully distributed manner. Finally, we compare our proposed distributed algorithm with the conventional centralized algorithms and simulation results verify the importance of the proposed distributed algorithm.