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Noise leads to quasi-consensus of Hegselmann-Krause opinion dynamics
Su, Wei1,2; Chen, Ge3,4; Hong, Yiguang3,4
2017-11-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume85Pages:448-454
AbstractThis study aims to provide a theoretical analysis for investigating the consensus behavior of opinion dynamics in noisy environments. We present how random noises significantly help "synchronize" opinions in the Hegselmann-Krause (HK) model. We prove that when noise strength is below the critical value, the opinions of the noisy HK dynamics tend to achieve "consensus" (referred to as quasi-consensus due to noise) in finite time. Fragmentation of HK dynamics tends to eventually vanish when persistent noise is present. Meanwhile, we verify that the opinions almost surely divide infinite times when noise strength exceeds the critical value. (C) 2017 Elsevier Ltd. All rights reserved.
KeywordOpinion dynamics Quasi-consensus Hegselmann-Krause model Random noise Multi-agent systems
DOI10.1016/j.automatica.2017.08.008
Language英语
Funding ProjectNational Key Basic Research Program of China[2014CB845301/2/3] ; National Key Basic Research Program of China[2016YFB0901902] ; National Natural Science Foundation of China[91427304] ; National Natural Science Foundation of China[61573344] ; National Natural Science Foundation of China[61673373] ; National Natural Science Foundation of China[11688101]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000414818100049
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26955
Collection系统科学研究所
Corresponding AuthorSu, Wei
Affiliation1.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
2.Minist Educ, Key Lab Knowledge Automat Ind Proc, Beijing 100083, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Su, Wei,Chen, Ge,Hong, Yiguang. Noise leads to quasi-consensus of Hegselmann-Krause opinion dynamics[J]. AUTOMATICA,2017,85:448-454.
APA Su, Wei,Chen, Ge,&Hong, Yiguang.(2017).Noise leads to quasi-consensus of Hegselmann-Krause opinion dynamics.AUTOMATICA,85,448-454.
MLA Su, Wei,et al."Noise leads to quasi-consensus of Hegselmann-Krause opinion dynamics".AUTOMATICA 85(2017):448-454.
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