Distributed adaptive Nash equilibrium seeking over multi-agent networks with communication uncertainties

This paper aims to address the distributed Nash equilibrium seeking problem for noncooperative games over multi-agent networks in the presence of communication uncertainties. Compared with the existing results on distributed Nash equilibrium seeking, the underlying communication network of the agents considered in this paper is subjected to unknown communication uncertainties. Specifically, the coupling weights on communication channels are perturbed by bounded uncertain signals. To achieve the goal of Nash equilibrium seeking, two distributed adaptive Nash equilibrium seeking algorithms based on the cooperative tracking protocol and estimate feedback respectively are proposed by designing adaptive coupling weights to overcome the effect of the communication uncertainties on Nash equilibrium seeking. The convergence of the proposed algorithms is theoretically analyzed and the effectiveness of the algorithms is illustrated by simulation results.