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Noise leads to quasi-consensus of Hegselmann-Krause opinion dynamics

文献类型：期刊论文

作者Su, Wei1,2; Chen, Ge3,4; Hong, Yiguang3,4
刊名AUTOMATICA
出版日期2017-11-01
卷号85页码:448-454
关键词Opinion dynamics Quasi-consensus Hegselmann-Krause model Random noise Multi-agent systems
ISSN号0005-1098
DOI10.1016/j.automatica.2017.08.008
英文摘要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.
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
语种英语
WOS记录号WOS:000414818100049
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26954]  
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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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