New directions in distributed Nash equilibrium seeking based on monotone operator theory

• 作者: Peng YI Tongyu WANG
• 来源期刊: 控制理论与技术（英文版）
• 年，卷（期）: 2020,（3）
• 页码范围: 333-335
• 页数: 3页
• 语种: 英文
• DOI: 10.1007/s11768-020-0109-z

摘要

There has been an increasing research interest in modeling, optimization and control of various multi-agent networks that have wide applications in industry, defense, security, and social areas, such as computing clusters, interconnected micro-grid systems, unmanned vessel swarms [1], power systems [2], multiple UAV systems [3] and sensor networks [4].For non-cooperative agents that only concern selfish profit-maximizing, the decision making problem can be modelled and solved with the help of game theory, while Nash equilibrium (NE) seeking is at the core to solve the non-cooperative multi-agent games [5-7].Distributed NE seeking methods are appealing compared with the center-based methods in large-scale networks due to its scalability, privacy protection, and adaptability.Recently, monotone operator theory is explored for distributed NE seeking, which is shown to provide an uniform framework for various algorithms in different scenarios.It has been gradually developing into a cutting-edge research field, with the prospect and necessity of future in-depth research.