Symmetry-based decomposition of finite games

doi:10.1007/s11432-017-9411-0

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	Symmetry-based decomposition of finite games
	Li, Changxi 1; He, Fenghua 1; Liu, Ting 2; Cheng, Daizhan2
	2019
发表期刊	SCIENCE CHINA-INFORMATION SCIENCES
ISSN	1674-733X
卷号	62 期号:1 页码:13
摘要	The symmetry-based decompositions of finite games are investigated. First, the vector space of finite games is decomposed into a symmetric subspace and an orthogonal complement of the symmetric subspace. The bases of the symmetric subspace and those of its orthogonal complement are presented. Second, the potential-based orthogonal decompositions of two-player symmetric/antisymmetric games are presented. The bases and dimensions of all dual decomposed subspaces are revealed. Finally, some properties of these decomposed subspaces are obtained.
关键词	potential game symmetric game decomposition Nash equilibrium semi-tensor product of matrices
DOI	10.1007/s11432-017-9411-0
语种	英语
资助项目	National Natural Science Foundation of China[61473099] ; National Natural Science Foundation of China[61273013] ; National Natural Science Foundation of China[61333001]
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000454266300001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32077
专题	系统科学研究所
通讯作者	He, Fenghua
作者单位	1.Harbin Inst Technol, Sch Astronaut, Harbin 150001, Heilongjiang, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Changxi,He, Fenghua,Liu, Ting,et al. Symmetry-based decomposition of finite games[J]. SCIENCE CHINA-INFORMATION SCIENCES,2019,62(1):13.
APA	Li, Changxi,He, Fenghua,Liu, Ting,&Cheng, Daizhan.(2019).Symmetry-based decomposition of finite games.SCIENCE CHINA-INFORMATION SCIENCES,62(1),13.
MLA	Li, Changxi,et al."Symmetry-based decomposition of finite games".SCIENCE CHINA-INFORMATION SCIENCES 62.1(2019):13.