Game-Theoretic Resource Allocation for Two-Hop Interference Channels

This paper considers resource allocation for two-hop interference channels where N independent source-destination pairs share the same spectrum band and interfere with each other. The absence of a central coordinating system motivates us to tackle the problem from a non-cooperative game-theoretic perspective. It is shown that when the number of transmission pairs is greater than two, analyzing the properties of the Nash Equilibrium (NE) becomes greatly challenging. With the help of a game scalarization technique, we derive sufficient conditions that guarantee the uniqueness of the NE, as well as the global convergence of the best response dynamics. Numerical results are presented to illustrate the significant rate enhancement over conventional schemes.