From weighted potential game to weighted harmonic game

doi:10.1049/iet-cta.2016.1454

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	From weighted potential game to weighted harmonic game
	Wang, Yuanhua 1,2; Liu, Ting 3; Cheng, Daizhan2,3
刊名	IET CONTROL THEORY AND APPLICATIONS
	2017-09-01
卷号	11 期号:13 页码:2161-2169
关键词	game theory weighted potential game weighted harmonic game vector space finite noncooperative games orthogonal subspaces nonstrategic games pure harmonic games pure potential games WPHG
ISSN号	1751-8644
DOI	10.1049/iet-cta.2016.1454
英文摘要	It was shown that the vector space of finite non-cooperative games can be decomposed into three orthogonal subspaces: the pure potential games (PGs) (P), non-strategic games (N), and pure harmonic games (H). This study proposes the concept of weighted harmonic game, and shows that in the aforementioned decomposition the P can be replaced by weighted pure PGs P-w, and the H can be replaced by WPHGs H-w. Then the bases for corresponding orthogonal subspaces are presented, respectively. Finally, certain properties of the new decomposed subspaces are investigated.
资助项目	National Natural Science Foundation of China[61074114] ; National Natural Science Foundation of China[61273013]
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:000407798500018
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26336]
专题	系统科学研究所
通讯作者	Wang, Yuanhua
作者单位	1.Shandong Normal Univ, Sch Management Sci & Engn, Jinan 250014, Shandong, Peoples R China 2.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yuanhua,Liu, Ting,Cheng, Daizhan. From weighted potential game to weighted harmonic game[J]. IET CONTROL THEORY AND APPLICATIONS,2017,11(13):2161-2169.
APA	Wang, Yuanhua,Liu, Ting,&Cheng, Daizhan.(2017).From weighted potential game to weighted harmonic game.IET CONTROL THEORY AND APPLICATIONS,11(13),2161-2169.
MLA	Wang, Yuanhua,et al."From weighted potential game to weighted harmonic game".IET CONTROL THEORY AND APPLICATIONS 11.13(2017):2161-2169.