标题:Dynamics and stability for a class of evolutionary games with time delays in strategies
作者:Wang, Yuanhua; Cheng, Daizhan
作者机构:[Wang Yuanhua] School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China.;[Cheng Daizhan] School of Control Scienc 更多
通讯作者:Wang, Yuanhua(wyh_1005@163.com)
通讯作者地址:[Wang, YH]Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China;[Wang, YH]Qilu Normal Univ, Coll Phys & Elect Engn, Jinan 250013, Peopl 更多
来源:中国科学. 信息科学
出版年:2016
卷:59
期:9
DOI:10.1007/s11432-016-5532-x
关键词:evolutionary game; time delays; potential game; semi-tensor product of; matrices; stability
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.
收录类别:EI;CSCD;SCOPUS;SCIE;SSCI
WOS核心被引频次:3
Scopus被引频次:3
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984865386&doi=10.1007%2fs11432-016-5532-x&partnerID=40&md5=1903623f49d340d4341e8850d7da98bd
TOP