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Linear representation of symmetric games
Chen, Daizhan; Liu, Ting
2017-12-15
Source PublicationIET CONTROL THEORY AND APPLICATIONS
ISSN1751-8644
Volume11Issue:18Pages:3278-3287
AbstractUsing the linear representation of symmetric group in the structure vector of finite games as its representation space, the inside structures of several kinds of symmetric games are investigated. First of all, the symmetry, described as the action of symmetric group on payoff functions, is converted to the product of permutation matrices with structure vectors of payoff functions. Second, in the light of the linear representation of the symmetric group in structure vectors, the algebraic conditions for the ordinary, weighted, renaming and name-irrelevant symmetries are obtained as the invariance under the corresponding linear representations. The semi-tensor product of matrices is a fundamental tool in this approach.
DOI10.1049/iet-cta.2017.0620
Language英语
Funding ProjectNational Natural Science Foundation of China[61333001]
WOS Research AreaAutomation & Control Systems ; Engineering ; Instruments & Instrumentation
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS IDWOS:000419019400007
PublisherINST ENGINEERING TECHNOLOGY-IET
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27010
Collection系统科学研究所
Corresponding AuthorChen, Daizhan
AffiliationChinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Chen, Daizhan,Liu, Ting. Linear representation of symmetric games[J]. IET CONTROL THEORY AND APPLICATIONS,2017,11(18):3278-3287.
APA Chen, Daizhan,&Liu, Ting.(2017).Linear representation of symmetric games.IET CONTROL THEORY AND APPLICATIONS,11(18),3278-3287.
MLA Chen, Daizhan,et al."Linear representation of symmetric games".IET CONTROL THEORY AND APPLICATIONS 11.18(2017):3278-3287.
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