From weighted potential game to weighted harmonic game

doi:10.1049/iet-cta.2016.1454

CSpace > 系统科学研究所

	From weighted potential game to weighted harmonic game
	Wang, Yuanhua 1,2; Liu, Ting 3; Cheng, Daizhan2,3
	2017-09-01
发表期刊	IET CONTROL THEORY AND APPLICATIONS
ISSN	1751-8644
卷号	11 期号:13 页码:2161-2169
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.
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
DOI	10.1049/iet-cta.2016.1454
语种	英语
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
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS记录号	WOS:000407798500018
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/26337
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.