Power Allocation for Two-Way Relay System Based on Sequential Second Price Auction

In this paper, we consider a multiuser multi-antenna two-way relay system in which multiple pairs of partners communicate via a single relay node. The total transmit power of the relay node is shared by all pairs of partners. In order to allocate the limited power with both efficiency and fairness, we introduce a sequential second price auction as a mechanism to achieve such goals. First, we provide the system model and formulate the channel capacity of each pair. Then, we construct an algorithm which leads to the equilibrium of a sequential second price auction with full information assumption and sophisticated bidding strategy. The equilibrium result is used for allocating the relay power among pairs of partners. Finally, we provide the simulation results considering both randomness of user locations and time-varying nature of wireless channels, which show that the proposed algorithm has a good performance in total channel capacity, system efficiency, and fairness.