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From Boolean game to potential game
Cheng, Daizhan1,2; Liu, Ting2
Source PublicationAUTOMATICA
AbstractUsing 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.
KeywordSymmetric game Boolean game Potential game Semi-tensor product of matrices
Funding ProjectNNSF of China[61773371] ; NNSF of China[61733018]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000444659500006
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Document Type期刊论文
Corresponding AuthorCheng, Daizhan
Affiliation1.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
Recommended Citation
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.
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