KMS Of Academy of mathematics and systems sciences, CAS
| Modeling, Analysis and Control of Networked Evolutionary Games | |
Cheng, Daizhan1,2 ; He, Fenghua3; Qi, Hongsheng2; Xu, Tingting2
| |
| 2015-09-01 | |
| Source Publication | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| ISSN | 0018-9286 |
| Volume | 60Issue:9Pages:2402-2415 |
| Abstract | 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. |
| Keyword | Controlled NEG fundamental evolutionary equation (FEE) networked evolutionary game (NEG) STP strategy profile dynamics (SPD) strategy updating rule |
| DOI | 10.1109/TAC.2015.2404471 |
| Language | 英语 |
| Funding Project | 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 Research Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000360501800009 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20667 |
| Collection | 系统科学研究所 |
| Affiliation | 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 |
| Recommended Citation 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. |
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