标题:Stability of Evolutionary Games with Time-varying Payoffs
作者:Wang, Yuanhua; Cheng, Daizhan
通讯作者:Wang, YH;Wang, YH
作者机构:[Wang, Yuanhua; Cheng, Daizhan] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China.; [Wang, Yuanhua] Qilu Normal Univ, Coll Phys & 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
出版年:2016
页码:579-584
关键词:Evolutionary game; common Lyapunov function; potential function;; stability; Semi-tensor product
摘要:In this paper, the stability of finite evolutionary games (EGs) with time-varying payoffs is studied by using the Lyapunov-based technique. First, the profile dynamics of EGs with time-varying payoffs is expressed into an algebraic form via the semi-tensor product of matrices. Second, a sufficient condition is obtained for the global stability of EGs with time-varying payoffs, and a common Lyapunov function is explored. By using the potential equation, a potential-based formula is proposed to construct a common Lyapunov function for an EG based on a near potential game. Finally, an example is given to illustrate the theoretical results.
收录类别:CPCI-S
WOS核心被引频次:1
资源类型:会议论文
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