Convergence of Potential Networked Evolutionary Games

被引:0
|
作者
Wang, Yuanhua [1 ]
Liu, Ting [2 ]
Cheng, Daizhan [1 ,2 ]
机构
[1] Shandong Univ, Inst Control Sci & Engn, Jinan 250061, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
关键词
Networked evolutionary game; potential; myopic best response adjustment rule (MBRAR); Nash equilibrium; semi-tensor product of matrices;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers when a potential networked evolutionary game (NEG) converges to a Nash equilibrium. First, based on the fundamental evolutionary equation, the profile dynamics of an NEG is revealed. Then we show that an NEG is potential, if the fundamental network game is. Finally, a sufficient condition for an NEG to converge to a Nash equilibrium is presented. An illustrative example is included to demonstrate the theoretical and numerical results.
引用
收藏
页码:3749 / 3754
页数:6
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