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

共 50 条

[21] Stability and stabilization of a class of finite evolutionary games
Wang, Yuanhua
Cheng, Daizhan
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (03): : 1603 - 1617
[22] Strategy Consensus of Networked Evolutionary Games with Time Invariant Delays
Wang, Zhiru
Fu, Shihua
Wang, Jianjun
Zhao, Xiaoyu
[J]. DYNAMIC GAMES AND APPLICATIONS, 2024, 14 (04) : 981 - 996
[23] Evolutionary dynamics in networked trust games with diverse investment patterns
Shang, Lihui
Zhang, Tiantian
Chang, Min
[J]. EPL, 2023, 141 (02)
[24] On the Stable Degree of Strategy Profile in Finite Evolutionary Networked Games
Guo Peilian
Wang Yuzhen
Li Haitao
[J]. 2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 2453 - 2458
[25] Modeling and Stability Analysis for Markov Jump Networked Evolutionary Games
Zhao, Guodong
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
[26] Dynamics and stability of potential hyper-networked evolutionary games
Liu T.
Wang Y.-H.
Cheng D.-Z.
[J]. International Journal of Automation and Computing, 2017, 14 (2) : 229 - 238
[27] Robust Strategy Optimization of Networked Evolutionary Games with Disturbance Inputs
Yuan Zhao
Shihua Fu
Jianli Zhao
Xinling Li
[J]. Dynamic Games and Applications, 2024, 14 : 508 - 523
[28] Dynamics and Stability of Potential Hyper-networked Evolutionary Games
Ting Liu
Yuan-Hua Wang
Dai-Zhan Cheng
[J]. Machine Intelligence Research, 2017, 14 (02) : 229 - 238
[29] Dynamics and Stability of Potential Hyper-networked Evolutionary Games
Liu, Ting
Wang, Yuanhua
Cheng, Daizhan
[J]. 2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 9090 - 9097
[30] Stable degree analysis for strategy profiles of evolutionary networked games
Peilian GUO
Yuzhen WANG
Haitao LI
[J]. Science China(Information Sciences), 2016, 59 (05) : 205 - 216

← 1 2 3 4 5 →