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
	2017-12-15
发表期刊	IET CONTROL THEORY AND APPLICATIONS
ISSN	1751-8644
卷号	11 期号:18 页码:3278-3287
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.
DOI	10.1049/iet-cta.2017.0620
语种	英语
资助项目	National Natural Science Foundation of China[61333001]
WOS研究方向	Automation & Control Systems ; Engineering ; Instruments & Instrumentation
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS记录号	WOS:000419019400007
出版者	INST ENGINEERING TECHNOLOGY-IET
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27010
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.