Power allocation in interference relay channels based on non-cooperative game theory

In the paper, we consider the interference as a detriment to the performance of the relay enhanced cellular system. Then we build up the interference channel model based on amplify-and-forward protocol and decode-and-forward protocol, respectively. The interference comes not only from the adjacent cells, but also from the inner of the same cell. Moreover, proper power allocation can obtain a good tradeoff between the performance and the interference. Power allocation in interference relay channels based on non-cooperative game theory is proposed. Concretely, two stages constitute the game model, namely power allocation among the source nodes and among the relay nodes. The two utility functions are different from the different stations of the source nodes and relay nodes. But the two utility functions are designed to guarantee the target SINR. For the two-stage game, we prove the existence and uniqueness of Nash equilibriums, and the proposed distributed algorithm always converges to the unique Nash equilibrium from an arbitrary starting point. Meanwhile, simulation results show our allocation scheme has good convergence.