Robust fragmentation modeling of Hegselmann-Krause-type dynamics

doi:10.1016/j.jfranklin.2019.09.012

	Robust fragmentation modeling of Hegselmann-Krause-type dynamics
	Su, Wei 1,4; Guo, Jin 1,4; Chen, Xianzhong 1,4; Chen, Ge 2,3,5; Li, Jiangyun 1,4
刊名	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
	2019-11-01
卷号	356 期号:16 页码:9867-9880
ISSN号	0016-0032
DOI	10.1016/j.jfranklin.2019.09.012
英文摘要	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.
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
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000493899600042
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50609]
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.Minist Educ Beijing, Key Lab Knowledge Automat Ind Proc, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing, 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.