An approach of power allocation scheme for relay communication networks based on seller-buyer game

In this paper, a robust optimization problem is formulated for decode-and-forward relay network via game theory. The uncertainty of channel gain is considered to overcome the performance degradation in practical environment. In this study, a probability threshold method is used to suppress the channel fluctuation. Besides, a seller-buyer game is formulated to jointly consider the maximum utility of source node and relay node. To reduce the overhead information exchanging, a distributed iteration algorithm is applied. Numerical results show the effectiveness of the proposed schemes, and also present the robustness of the relay network. Moreover, the proposed game is proved to converge to the unique equilibrium point.