Nash Equilibrium Topology of Multi-Agent Systems With Competitive Groups

doi:10.1109/TIE.2017.2674625

CORC > 北京大学 > 工学院

	Nash Equilibrium Topology of Multi-Agent Systems With Competitive Groups
	Ma, Jingying ; Zheng, Yuanshi ; Wang, Long
刊名	IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
	2017
关键词	Equilibrium topology multi-agent systems noncooperative game LEADER-FOLLOWING CONSENSUS FINITE-TIME CONSENSUS DYNAMIC AGENTS NETWORKS CONVERGENCE CONTAINMENT PROTOCOLS GAMES
DOI	10.1109/TIE.2017.2674625
英文摘要	Competition is ubiquitous in nature. This paper studies competition phenomena of multi-agent systems consisting of three groups of agents. In order to achieve maximal influence, the first and the second groups send information to the third group, which leads to competition. First, we formulate this competition as a noncooperative game in which the first and the second groups are two players. Players decide agents who send and receive information. Consequently, the interaction topology of the system is generated from players' strategies. Therefore, we define the interaction topology decided by Nash equilibrium of the game as the equilibrium topology of the system. Second, the necessary condition is established for equilibrium topology. For the case that the third group's interaction graph is a tree or has a center vertex, interchangeable Nash equilibrium solutions are obtained. Moreover, due to competition, the agents of the third group might reach consensus under the equilibrium topology. Finally, when the third group's interaction graph is bidirected, the necessary and sufficient condition is given for the equilibrium topology. The equilibrium topology is also presented for the scenario where the third group's interaction graph is a bidirected circulant graph.; NSFC [61533001, 61375120, 61304160, 61563043]; Fundamental Research Funds for the Central Universities [JB160419]; University Association for Science and Technology in Shaanxi Province of China [20160208]; SCI(E); ARTICLE; 6; 4956-4966; 64
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/473215]
专题	工学院
推荐引用方式 GB/T 7714	Ma, Jingying,Zheng, Yuanshi,Wang, Long. Nash Equilibrium Topology of Multi-Agent Systems With Competitive Groups[J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS,2017.
APA	Ma, Jingying,Zheng, Yuanshi,&Wang, Long.(2017).Nash Equilibrium Topology of Multi-Agent Systems With Competitive Groups.IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS.
MLA	Ma, Jingying,et al."Nash Equilibrium Topology of Multi-Agent Systems With Competitive Groups".IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS (2017).