Power trading in multi-cell multi-user relay-assisted uplink with private budget limits

In this paper, we study the problems of power allocation in a multi-user relay-assisted wireless network. From the perspective of game theory, we formulate and analyze this power allocation problem as a power trading game by considering users as bidders and the relay as an auctioneer. Aiming at solving this problem where each bidder has a private budget limit, we apply an adaptive clinching auction algorithm, which can maximize the utilities of users and the assisted relay. Additionally, simulations illustrate the performance of the proposed method.