A cheat-proof power control policy for self-organizing full-duplex small cells

Distributed resource allocation is considered as a significant feature of future self-organizing wireless networks. On the other hand, full-duplex transmission is an emerging technology which can theoretically double the data rate. and hence enhance the performance of wireless networks significantly. In this work, we address the problem of distributed power control in a two-tier network with full-duplex small cells underlaying one macro cell in a co-channel deployment scenario. We first formulate the corresponding distributed power control problem as a non-cooperative game and then extend it to a repeated game with imperfect public monitoring. The repeated game setting is used as it can withstand cheating. We show the existence and uniqueness of the Nash equilibrium of the formulated non-cooperative game and characterize the set of perfect public equilibrium for the repeated game. A two phase distributed algorithm is then proposed to achieve a power profile which is also a perfect public equilibrium. The power control algorithm is cheat-proof and needs only a small amount of information exchange among network nodes. The effectiveness of the algorithm is shown using numerical results. Our proposed algorithm and analysis are also valid for a half-duplex system as it is a special case of the full-duplex model presented in the paper.