Linear representation of symmetric games

doi:10.1049/iet-cta.2017.0620

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	Linear representation of symmetric games
	Chen, Daizhan; Liu, Ting
刊名	IET CONTROL THEORY AND APPLICATIONS
	2017-12-15
卷号	11 期号:18 页码:3278-3287
ISSN号	1751-8644
DOI	10.1049/iet-cta.2017.0620
英文摘要	Using 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.
资助项目	National Natural Science Foundation of China[61333001]
WOS研究方向	Automation & Control Systems ; Engineering ; Instruments & Instrumentation
语种	英语
出版者	INST ENGINEERING TECHNOLOGY-IET
WOS记录号	WOS:000419019400007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/27009]
专题	系统科学研究所
通讯作者	Chen, Daizhan
作者单位	Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 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.