Robust fragmentation modeling of Hegselmann-Krause-type dynamics

doi:10.1016/j.jfranklin.2019.09.012

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	Robust fragmentation modeling of Hegselmann-Krause-type dynamics
	Su, Wei 1,2; Guo, Jin 1,2; Chen, Xianzhong 1,2; Chen, Ge 3,4,5; Li, Jiangyun 1,2
	2019-11-01
发表期刊	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN	0016-0032
卷号	356 期号:16 页码:9867-9880
摘要	In opinion dynamics, how to model the enduring fragmentation phenomenon (especially the bipartite cleavage) of social opinions has long been a central problem. It is widely known that the confidence-based opinion dynamics provide an acceptable mechanism to produce fragmentation. In this study, taking the famous confidence-based Hegselmann-Krause (HK) model, we examine the robustness of the fragmentation coming from HK dynamics and its variations with prejudiced and stubborn agents against random noise. Prior to possible insightful explanations, the theoretical results in this paper explicitly reveal that the fragmentation of HK dynamics and its homogeneous variations finally vanishes in the presence of arbitrarily tiny noise, while only the HK model with heterogenous prejudices displays a solid cleavage in noisy environment. Moreover, it is found that noise could help regularize the group to form the innate bipartite cleavage. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
DOI	10.1016/j.jfranklin.2019.09.012
收录类别	SCI
语种	英语
资助项目	National Key Basic Research Program of China (973 program)[2016YFB0800404] ; National Natural Science Foundation of China[61803024] ; National Natural Science Foundation of China[61671054] ; National Natural Science Foundation of China[61773054] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[91427304] ; Natural Science Foundation of Beijing[4182038] ; Fundamental Research Funds for the Central Universities[FRF-TP-17-087A1]
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000493899600042
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/50610
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Jiangyun
作者单位	1.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing, Peoples R China 2.Minist Educ Beijing, 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, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Su, Wei,Guo, Jin,Chen, Xianzhong,et al. Robust fragmentation modeling of Hegselmann-Krause-type dynamics[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2019,356(16):9867-9880.
APA	Su, Wei,Guo, Jin,Chen, Xianzhong,Chen, Ge,&Li, Jiangyun.(2019).Robust fragmentation modeling of Hegselmann-Krause-type dynamics.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,356(16),9867-9880.
MLA	Su, Wei,et al."Robust fragmentation modeling of Hegselmann-Krause-type dynamics".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 356.16(2019):9867-9880.