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Incomplete-profile potential games
Zhang, Xiao1; Hao, Yaqi1; Cheng, Daizhan1,2
2018
Source PublicationJOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN0016-0032
Volume355Issue:2Pages:862-877
AbstractThe incomplete-profile normal form game (IPNFG), which contains several infeasible profiles, is considered. First, the dynamics of evolutionary IPNFG are presented. Then a method is provided to verify whether an IPNFG is potential. Certain properties of potential IPNFGs are revealed. Next, an algorithm is provided to search the feasible set to guarantee that the corresponding IPNFG is potential. In addition, the decomposition of an IPNFG is investigated. Finally, for an IPNFG with several feasible sets, an algorithm is proposed to find the one which makes the corresponding IPNFG closest to a potential game. (c) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
DOI10.1016/j.jfranklin.2017.11.009
Language英语
Funding ProjectNational Natural Science Foundation of China (NNSF) of China[61074114] ; National Natural Science Foundation of China (NNSF) of China[61273013]
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000425496700012
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29563
Collection系统科学研究所
Affiliation1.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Xiao,Hao, Yaqi,Cheng, Daizhan. Incomplete-profile potential games[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2018,355(2):862-877.
APA Zhang, Xiao,Hao, Yaqi,&Cheng, Daizhan.(2018).Incomplete-profile potential games.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,355(2),862-877.
MLA Zhang, Xiao,et al."Incomplete-profile potential games".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 355.2(2018):862-877.
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