KMS Of Academy of mathematics and systems sciences, CAS
Verification and Dynamics of Group-Based Potential Games | |
Li, Changxi1; He, Fenghua1; Liu, Ting2; Cheng, Daizhan2 | |
2019-03-01 | |
发表期刊 | IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS |
ISSN | 2325-5870 |
卷号 | 6期号:1页码:215-224 |
摘要 | A class of potential-type games, called the group-based potential game, is investigated in this paper. First, the verification of the (strongly) group-based potential game is studied. Using the semitensor product, the verification can be solved by checking whether a linear equation has a solution. Second, profile dynamics are considered when the strongly group-based potential game is played on a hypergraph. It is proved that the strategies of a strongly group-based potential hyper-networked evolutionary game converge to a pure Nash equilibrium under the group-based cascading myopic best response adjustment rule. Finally, an example is provided and discussed in detail to demonstrate the theoretical result. |
关键词 | Group-based potential game hyper-networked evolutionary game Nash equilibrium semitensor product (STP) of matrices |
DOI | 10.1109/TCNS.2018.2808138 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China (NSFC)[61473099] ; National Natural Science Foundation of China (NSFC)[61773371] ; National Natural Science Foundation of China (NSFC)[61733018] ; National Natural Science Foundation of China (NSFC)[61333001] |
WOS研究方向 | Automation & Control Systems ; Computer Science |
WOS类目 | Automation & Control Systems ; Computer Science, Information Systems |
WOS记录号 | WOS:000461857300019 |
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/34245 |
专题 | 系统科学研究所 |
通讯作者 | He, Fenghua |
作者单位 | 1.Harbin Inst Technol, Control & Simulat Ctr, Harbin 150080, Heilongjiang, Peoples R China 2.Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Changxi,He, Fenghua,Liu, Ting,et al. Verification and Dynamics of Group-Based Potential Games[J]. IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS,2019,6(1):215-224. |
APA | Li, Changxi,He, Fenghua,Liu, Ting,&Cheng, Daizhan.(2019).Verification and Dynamics of Group-Based Potential Games.IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS,6(1),215-224. |
MLA | Li, Changxi,et al."Verification and Dynamics of Group-Based Potential Games".IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS 6.1(2019):215-224. |
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