A Matrix Approach to the Modeling and Analysis of Networked Evolutionary Games With Time Delays

被引：2
|
作者：
Guodong Zhao [1 ]
Yuzhen Wang [2 ]
Haitao Li [1 ]
机构：
[1] the School of Mathematics and Statistics, Shandong Normal University
[2] the School of Control Science and Engineering, Shandong University
来源：
IEEE/CAA Journal of Automatica Sinica | 2018年 / 5卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Fictitious play process; Nash equilibrium; networked evolutionary games(NEGs); semi-tensor product of matrices;
D O I：
暂无
中图分类号：
O225 [对策论（博弈论）];
学科分类号：
070105 ; 1201 ;
摘要：
Using the semi-tensor product method, this paper investigates the modeling and analysis of networked evolutionary games(NEGs) with finite memories, and presents a number of new results. Firstly, a kind of algebraic expression is formulated for the networked evolutionary games with finite memories, based on which the behavior of the corresponding evolutionary game is analyzed. Secondly, under a proper assumption, the existence of Nash equilibrium of the given networked evolutionary games is proved and a free-type strategy sequence is designed for the convergence to the Nash equilibrium. Finally, an illustrative example is worked out to support the obtained new results.
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页码：818 / 826
页数：9
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