标题：Dynamics and Stability of Potential Hyper-networked Evolutionary Games
作者：Liu, Ting; Wang, Yuanhua; Cheng, Daizhan
作者机构：[Liu, Ting; Cheng, Daizhan] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China.; [Wang, Yuanhua; Cheng, 更多
会议名称：34th Chinese Control Conference (CCC)
会议日期：JUL 28-30, 2015
来源：2015 34TH CHINESE CONTROL CONFERENCE (CCC)
关键词：(Hyper-) Networked evolutionary game; potential; cascading MBRAR; Nash; equilibrium; semi-tensor product of matrices
摘要：This paper considers the modeling and convergence of hyper-networked evolutionary games(HNEGs). In an HNEG the network graph is a hypergraph, which allows the fundamental network game to be a multi-player one. Using semi-tensor product of matrices and the fundamental evolutionary equation, the dynamics of an HNEG is obtained. Using it, we extend the results about the networked evolutionary games to show when an HNEG is potential and how to calculate the potential. Then we propose a new strategy updating rule, called the cascading Myopic Best Response Adjustment Rule(MBRAR), and prove that under the cascading MBRAR an HNEG will converge to a pure Nash Equilibrium. An example is presented and discussed in detail to demonstrate the theoretical and numerical results.