Formulation and optimization control of a class of networked evolutionary games with switched topologies

被引：42

作者：

Zhao, Guodong ^{[1
]}

Wang, Yuzhen ^{[1
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2016年 / 22卷

基金：

中国国家自然科学基金;

关键词：

Networked evolutionary games; Switched topologies; Algebraic formulation; Strategy optimization; Semi-tensor product of matrix; PRISONERS-DILEMMA; COOPERATION; CONTROLLABILITY; EMERGENCE; PROMOTES;

D O I：

10.1016/j.nahs.2016.03.009

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 studies the algebraic formulation and optimization control for a class of networked evolutionary games with switched topologies via the semi-tensor product method. First, an algebraic expression is formulated for the given networked evolutionary games, based on which, the behavior of corresponding evolutionary games is analyzed. Then, under some certain assumptions, the existence of fixed points for the given systems is proved and a free-type control sequence is designed to guarantee the best strategy profile reachable globally. Finally, an illustrative example is studied to support our new results. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：98 / 107

页数：10

共 28 条

[1] MEAN FIELD GAMES: NUMERICAL METHODS [J].

Achdou, Yves ;

Capuzzo-Dolcetta, Italo .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 48 (03) :1136-1162

[2]

[Anonymous], [No title captured]

[3]

[Anonymous], CHAOS

[4]

[Anonymous], 2006, The Evolution of Cooperation

[5]

[Anonymous], ASIAN J CONTROL

[6] THE EVOLUTION OF COOPERATION [J].

AXELROD, R ;

HAMILTON, WD .

SCIENCE, 1981, 211 (4489) :1390-1396

[7] Modeling, Analysis and Control of Networked Evolutionary Games [J].

Cheng, Daizhan ;

He, Fenghua ;

Qi, Hongsheng ;

Xu, Tingting .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (09) :2402-2415

[8] Stability and stabilization of Boolean networks [J].

Cheng, Daizhan ;

Qi, Hongsheng ;

Li, Zhiqiang ;

Liu, Jiang B. .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (02) :134-156

[9] A Linear Representation of Dynamics of Boolean Networks [J].

Cheng, Daizhan ;

Qi, Hongsheng .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) :2251-2258

[10] Controllability and observability of Boolean control networks [J].

Cheng, Daizhan ;

Qi, Hongsheng .

AUTOMATICA, 2009, 45 (07) :1659-1667

← 1 2 3 →