Distributed Event-Triggered Nash Equilibrium Seeking for Aggregative Game with Second-Order Dynamics

Dear Editor, This letter studies the distributed Nash equilibrium seeking problem of aggregative game, in which the decision of each player obeys second-order dynamics and is constrained by nonidentical convex sets. To seek the generalized Nash equilibrium (GNE), a projection-based distributed algorithm via constant step-sizes is developed with linear convergence. In particular, a variable tracking technique is incorporated to estimate the aggregative function, and an event-triggered mechanism is designed to reduce the communication cost. Finally, a numerical example demonstrates the theoretical results.