Auction-Based Power Allocation for Multiuser Two-Way Relaying Networks with Network Coding

In this paper, we consider the power allocation problem in a network coded multiuser two-way relaying network, where multiple pairs of users exchange information with the help of a relay node. An auction-based power allocation scheme is proposed to solve the power competition among multiple user pairs. To maximize the utility of the whole pair, each two users in the pair bid as a single player, with the total pair payment shared by the pair users in proportion to the amount of power they obtained. The convergence of the proposed auction game is theoretically proved by using a standard function. Moreover, the outage behavior is systematically analyzed and a closed form of the system outage probability is derived. Finally, the performance of the proposed scheme is verified by the simulation results.