Stabilization of evolutionary networked games with length-r information

被引：30

作者：

Mao, Ying ^{[1
]}

Wang, Liqing ^{[1
]}

Liu, Yang ^{[1
]}

Lu, Jianquan ^{[2
]}

Wang, Zhen ^{[3
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 337卷

基金：

中国国家自然科学基金;

关键词：

Evolutionary network game; Nash equilibrium; Probabilistic Boolean network; Semi-tensor product; BOOLEAN CONTROL NETWORKS; CONTROLLABILITY; DECOMPOSITION; STABILITY;

D O I：

10.1016/j.amc.2018.05.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the dynamics of evolutionary networked games with different length information via semi-tensor product (STP) method. First, a networked game with different length information is modeled in the form of probabilistic Boolean networks (PBNs) with time delays. Second, based on the utility function of each player, a necessary condition for the existence of a pure Nash equilibrium is obtained. Then a state feedback control is applied to stabilize the considered system. Finally, an example is presented to substantiate the effectiveness of the theoretical results. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：442 / 451

页数：10

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