标题：Nash equilibrium, dynamics and control of evolutionary networked games with multi-group
作者：Guo Peilian; Wang Yuzhen; Jiang Ping
作者机构：[Guo Peilian; Wang Yuzhen; Jiang Ping] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China.; [Jiang Ping] Univ Jinan, Sch Elect Eng 更多
会议名称：35th Chinese Control Conference (CCC)
会议日期：JUL 27-29, 2016
来源：PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016
关键词：Nash equilibrium; Evolutionary networked games; Event-triggered;; Semi-tensor product of matrices
摘要：Using the semi-tensor product of matrices (STP), this paper investigates the Nash equilibrium and dynamics analysis of evolutionary networked games with multi-group. First, the formal evolutionary networked game model with multi-group is modeled as the multi-layer networked game. Second, based on the algebraic form of the utility function of each player, the necessary and sufficient condition for the existence of pure strategy Nash equilibrium (PNE) is obtained. Third, the rigorous algebraic equation of the game dynamics is established, by which an event-triggered control is designed to make the game dynamics converge globally. Finally, a numerical example is presented to validate the correctness of the theoretical results.