Channel Allocation Policy for Distributed Wireless Network: Derivation and Analysis of Optimal Interference

Distributed wireless networks with smart users (independent and rational) are becoming popular, and researchers are studying distributed equilibrium solutions like Nash Equilibrium (NE) to analyze and predict the convergence of such networks. Our goal is to drive the distributed wireless network to NE with high total throughput. Study of the distribution of network metrics at NE with high total throughput shows that communication links still have significant amount of interference. Adding an interference-received term with an optimal weight (αopt∗) to the link’s payoff can push the distributed network to converge to NE with high total throughput. The channel allocation trend at NE with high total throughput is as follows: each of the C−1 links occupies its own channel, and the remaining N−C+1 links share the remaining one channel, where N is the number of links and C is the number of channels in the network. The links (transmitters and receivers) are randomly located and C