Distributed Interference and Power Control based-Game Theory for D2D Communication.

Device-to-Device communication underlaying cellular network can improve the spectrum efficiency due to both direct proximity. Unlike previous works, which have dealt with potential and dynamic games etc.., we propose in this paper to study and to investigate both pure and mixed games, using two utility functions game of cellular and D2D users, in order to enhance the system spectral efficiency and to increase the SINR. First, we model each kind of users (D2D and Cellular users) as a rational player, aiming at maximizing its own net utility, based on the Quality of Service (QoS), in terms of Signal-to-Interference plus-Noise-Ratio (SINR) threshold. Second, pure and mixed games are investigated in this paper, where existence and uniqueness of the Nash equilibrium (NE) are studied. Finally, simulations are conducted to compare the proposed framework for the two kinds of proposed games.