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

被引：20
|
作者：
Wang, Yuanhua [1 ,2 ]
Cheng, Daizhan [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
[2] Qilu Normal Univ, Coll Phys & Elect Engn, Jinan 250013, Peoples R China
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; FORMULATION;
D O I：
10.1007/s11432-016-5532-x
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 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.
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收藏
页数：10
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