Generalized Nash Equilibrium Seeking for Noncooperative Games With Heterogeneous Individual Dynamics

• 成果类型: Article
• 署名作者: Liu, Pin; Xiao, Feng; Wei, Bo; Yu, Mei
• 署名单位: North China Electric Power University; North China Electric Power University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3308343
• 发表日期: 2024
• 页码: 2492-2499
• 关键词: Generalized Nash Equilibrium (GNE); heterogeneous multi-agent systems; local information; Noncooperative games

摘要

This article investigates the constrained noncooperative game problems where players with individual dynamics are subject to local strategy set constraints and global nonlinear inequality constraints. The cost function of each player depends on the strategies of all players and is only locally accessible to the player. With only the local information, players estimate all others' strategies and deal with coupled constraints by communicating with their neighbors in a graph. To avoid the usage of the graph's algebraic connectivity, a distributed control algorithm is proposed with adaptive parameters. With arbitrary initial strategies, the control algorithm guarantees the convergence of the strategies of all players to a generalized Nash equilibrium. Simulations illustrate the effectiveness of the proposed distributed control algorithms.