Pareto-efficient cross-layer repeated game for Device-to-Device (D2D) communications

Device-to-Device (D2D) communications underlaying cellular communications can increase resource utilization, system capacity, and interference, while increasing quality of service (QoS) for cellular and D2D users. In this paper, we design a non-cooperative cross-layer repeated game, which jointly optimizes mode selection (i.e. either operating in cellular mode or reuse mode) at the network layer and power control at the physical (PHY) layer for a distributed wireless network. The proposed game aims to minimize transmit power, and select optimal transmission mode, while achieving acceptable packet delivery ratio (PDR). The effects on PDR with respect to communication reliability and optimum mode switching point over time are determined. The game is constituted of a non-cooperative power control game and a two-armed bandit game, and by combining these two games we obtain rapid convergence to a Pareto-optimal outcome for both mode selection and transmit power.