Modeling, Analysis and Control of Networked Evolutionary Games
文献类型:期刊论文
作者 | Cheng, Daizhan1,2![]() ![]() |
刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
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出版日期 | 2015-09-01 |
卷号 | 60期号:9页码:2402-2415 |
关键词 | Controlled NEG fundamental evolutionary equation (FEE) networked evolutionary game (NEG) STP strategy profile dynamics (SPD) strategy updating rule |
ISSN号 | 0018-9286 |
DOI | 10.1109/TAC.2015.2404471 |
英文摘要 | 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. |
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 |
语种 | 英语 |
WOS记录号 | WOS:000360501800009 |
出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20666] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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