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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
发表期刊AUTOMATICA
ISSN0005-1098
卷号85页码:448-454
摘要This 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.
关键词Opinion dynamics Quasi-consensus Hegselmann-Krause model Random noise Multi-agent systems
DOI10.1016/j.automatica.2017.08.008
语种英语
资助项目National 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研究方向Automation & Control Systems ; Engineering
WOS类目Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号WOS:000414818100049
出版者PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/26955
专题系统科学研究所
通讯作者Su, Wei
作者单位1.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
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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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