From Boolean game to potential game

doi:10.1016/j.automatica.2018.06.028

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 系统科学研究所

	From Boolean game to potential game
	Cheng, Daizhan1,2 ; Liu, Ting 2
刊名	AUTOMATICA
	2018-10-01
卷号	96 页码:51-60
关键词	Symmetric game Boolean game Potential game Semi-tensor product of matrices
ISSN号	0005-1098
DOI	10.1016/j.automatica.2018.06.028
英文摘要	Using semi-tensor product of matrices, the vector space structure of Boolean games and their some specified subsets are proposed. By resorting to the vector space structure and potential equation, we give an alternative proof for the fact that a symmetric Boolean game is a potential game. The two advantages of this new approach are revealed as follows: (1) It can provide the corresponding potential function; (2) It can be used to explore new potential Boolean games. The corresponding formula is provided to demonstrate the first advantage. As for the second one, the renaming symmetric Boolean games and the weighted symmetric Boolean games are also proved to be potential and weighted potential respectively. Moreover, as a non-symmetric game, the flipped symmetry Boolean game has been constructed and proved to be potential. (C) 2018 Elsevier Ltd. All rights reserved.
资助项目	NNSF of China[61773371] ; NNSF of China[61733018]
WOS研究方向	Automation & Control Systems ; Engineering
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000444659500006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31267]
专题	系统科学研究所
通讯作者	Cheng, Daizhan
作者单位	1.Shandong Univ, Sch Control Sci & Engn, Jiman 250061, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Daizhan,Liu, Ting. From Boolean game to potential game[J]. AUTOMATICA,2018,96:51-60.
APA	Cheng, Daizhan,&Liu, Ting.(2018).From Boolean game to potential game.AUTOMATICA,96,51-60.
MLA	Cheng, Daizhan,et al."From Boolean game to potential game".AUTOMATICA 96(2018):51-60.