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Verification and Dynamics of Group-Based Potential Games
Li, Changxi1; He, Fenghua1; Liu, Ting2; Cheng, Daizhan2
2019-03-01
Source PublicationIEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
ISSN2325-5870
Volume6Issue:1Pages:215-224
AbstractA 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.
KeywordGroup-based potential game hyper-networked evolutionary game Nash equilibrium semitensor product (STP) of matrices
DOI10.1109/TCNS.2018.2808138
Language英语
Funding ProjectNational 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 Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Information Systems
WOS IDWOS:000461857300019
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34245
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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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