On the Stable Degree of Strategy Profile in Finite Evolutionary Networked Games

摘要：

　　This paper investigates the stable degree of strategy profile in evolutionary networked games by using the semi-tensor product method.First,based on a normal evolutionary networked game model,the concept for k-degree stability of strategy profile is proposed.Second,using the semi-tensor product of matrices,the game dynamics with “best imitate strategy updating rule is converted into an algebraic form.Third,the stable degree of strategy profile is analyzed and a necessary and sufficient condition for k-degree stability of strategy profile is obtained.Meanwhile,an algorithm is presented to verify the stable degree of strategy profile.The study of an illustrative example shows that the new results obtained are effective.

关键词： Evolutionary networked game Strategy profiles Stable degree Semi-tensor product of matrices

作者: GUO Peilian WANG Yuzhen LI Haitao

作者单位: School of Control Science and Engineering,Shandong University,Jinan 250061,P. R. China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2453-2458

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）