Modeling, Analysis and Control of Networked Evolutionary Games

doi:10.1109/TAC.2015.2404471

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	Modeling, Analysis and Control of Networked Evolutionary Games
	Cheng, Daizhan1,2 ; He, Fenghua 3; Qi, Hongsheng2 ; Xu, Tingting 2
	2015-09-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	60 期号:9 页码:2402-2415
摘要	Consider a networked evolutionary game (NEG). According to its strategy updating rule, a fundamental evolutionary equation (FEE) for each node is proposed, which is based on local information. Using FEEs, the network strategy profile dynamics (SPD) is expressed as a k-valued (deterministic or probabilistic) logical dynamic system. The SPD is then used to analyze the network dynamic behaviors, such as the fixed points, the cycles, and the basins of attractions, etc. Particularly, when the homogeneous networked games are considered, a necessary and sufficient condition is presented to verify when a stationary stable profile exists. Then the equivalence of two NEGs is investigated. Finally, after a rigorous definition of controlled NEGs, some control problems, including controllability, stabilization, and network consensus, are considered, and some verifiable conditions are presented. Examples with various games are presented to illustrate the theoretical results. The basic tool for this approach is the semi-tensor product (STP) of matrices, which is a generalization of the conventional matrix product.
关键词	Controlled NEG fundamental evolutionary equation (FEE) networked evolutionary game (NEG) STP strategy profile dynamics (SPD) strategy updating rule
DOI	10.1109/TAC.2015.2404471
语种	英语
资助项目	National Natural Science Foundation (NNSF) of China[61074114] ; National Natural Science Foundation (NNSF) of China[61273013] ; National Natural Science Foundation (NNSF) of China[61333001] ; National Natural Science Foundation (NNSF) of China[61104065] ; National Natural Science Foundation (NNSF) of China[61473099] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000360501800009
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20667
专题	系统科学研究所
通讯作者	Cheng, Daizhan
作者单位	1.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China 2.Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Harbin Inst Technol, Control & Simulat Ctr, Harbin 150080, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Daizhan,He, Fenghua,Qi, Hongsheng,et al. Modeling, Analysis and Control of Networked Evolutionary Games[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2015,60(9):2402-2415.
APA	Cheng, Daizhan,He, Fenghua,Qi, Hongsheng,&Xu, Tingting.(2015).Modeling, Analysis and Control of Networked Evolutionary Games.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,60(9),2402-2415.
MLA	Cheng, Daizhan,et al."Modeling, Analysis and Control of Networked Evolutionary Games".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 60.9(2015):2402-2415.