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Robust fragmentation modeling of Hegselmann-Krause-type dynamics
Su, Wei1,2; Guo, Jin1,2; Chen, Xianzhong1,2; Chen, Ge3,4,5; Li, Jiangyun1,2
2019-11-01
Source PublicationJOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN0016-0032
Volume356Issue:16Pages:9867-9880
AbstractIn 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.
DOI10.1016/j.jfranklin.2019.09.012
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000493899600042
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50610
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLi, Jiangyun
Affiliation1.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
Recommended Citation
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.
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