Distributed Generalized Nash Equilibrium Seeking for Noncooperative Game Under Intermittent Communication

In this paper, a noncooperative game with private and coupled constraints under aperiodically intermittent communication is studied, and a distributed generalized Nash equilibrium (GNE) seeking algorithm with two-time-scale structure is proposed to address the issue. Under a practical changing environment that causes aperiodically intermittent communications, players cannot directly and continuously obtain the action information of other players. That is, each player only estimates the actions of all the other players in the communication period, which greatly saves the communication cost on the basis of ensuring actual estimation. At the same time, an adaptive technique is introduced to deal with private constraints, where the penalty parameters can be dynamically adjusted according to the degree of constraint violation. On the basis of players' actions entering the action set, the GNE seeking algorithm is fully distributed. Finally, the effectiveness of the algorithm is verified by economic dispatch game.