中国科学院机构知识库网格
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From Boolean game to potential game

文献类型:期刊论文

作者Cheng, Daizhan1,2; Liu, Ting2
刊名AUTOMATICA
出版日期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
DOI10.1016/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
WOS记录号WOS:000444659500006
出版者PERGAMON-ELSEVIER SCIENCE LTD
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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