— In this paper, precoding strategies over interference channels are analyzed from a game-theoretic perspective. The Nash equilibrium and Nash bargaining solutions of precoding matrices, as the optimal precoding strategies in non-cooperative and cooperative cases, respectively, are derived for a two-player game over both flat fading and frequency selective channels. It is shown that the non-cooperative and cooperative solutions of precoding matrices are the same over multiple-input singleoutput (MISO) flat fading interference channels under a total power constraint. The solution in flat fading channel case is also extended to an M-player case. Keywords – precoding, interference channel, Nash equilibrium, Nash bargaining.
Jie Gao, Sergiy A. Vorobyov, Hai Jiang