Dynamics and stability for a class of evolutionary games with time delays in strategies

被引：1
|
作者：
Yuanhua WANG [1 ,2 ]
Daizhan CHENG [1 ]
机构：
[1] School of Control Science and Engineering, Shandong University
[2] College of Physics and Electronic Engineering, Qilu Normal University
来源：
Science China(Information Sciences) | 2016年 / 59卷 / 09期
关键词：
evolutionary game; time delays; potential game; semi-tensor product of matrices; stability;
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：
This paper investigates the modeling and stability of a class of finite evolutionary games with time delays in strategies. First, the evolutionary dynamics of a sequence of strategy profiles, named as the profile trajectory, is proposed to describe the strategy updating process of the evolutionary games with time delays.Using the semi-tensor product of matrices, the profile trajectory dynamics with two kinds of time delays are converted into their algebraic forms respectively. Then a sufficient condition is obtained to assure the stability of the delayed evolutionary potential games at a pure Nash equilibrium.
引用
收藏
页码：198 / 207
页数：10
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