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Convergence properties of the heterogeneous Deffuant-Weisbuch model
Chen, Ge1,2; Su, Wei3; Mei, Wenjun4; Bullo, Francesco5,6
2020-04-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume114Pages:9
AbstractThe Deffuant-Weisbuch (DW) model is a bounded-confidence opinion dynamics model that has attracted much recent interest. Despite its simplicity and appeal, the DW model has proved technically hard to analyze and its most basic convergence properties, easy to observe numerically, are only conjectures. This paper solves the convergence problem for the heterogeneous DW model with the weighting factor not less than 1/2. We establish that, for any positive confidence bounds and initial values, the opinion of each agent will converge to a limit value almost surely, and the convergence rate is exponential in mean square. Moreover, we show that the limiting opinions of any two agents either are the same or have a distance larger than the confidence bounds of the two agents. Finally, we provide some sufficient conditions for the heterogeneous DW model to reach consensus. (C) 2020 Elsevier Ltd. All rights reserved.
KeywordOpinion dynamics Consensus Deffuant model Gossip model Bounded confidence model
DOI10.1016/j.automatica.2020.108825
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[61803024] ; National Key Basic Research Program of China (973 program)[2016YFB0800404] ; Fundamental Research Funds for the Central Universities[FRF-TP-17-087A1] ; National Key Research and Development Program of Ministry of Science and Technology of China[2018AAA0101002] ; U.S. Army Research Laboratory ; U.S. Army Research Office[W911NF-15-1-0577]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000519656500005
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50941
Collection中国科学院数学与系统科学研究院
Corresponding AuthorChen, Ge
Affiliation1.Chinese Acad Sci, Natl Ctr Math & Interdisciplinary Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
4.ETH, Automat Control Lab, CH-8092 Zurich, Switzerland
5.Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA
6.Univ Calif Santa Barbara, Ctr Control Dynam Syst & Computat, Santa Barbara, CA 93106 USA
Recommended Citation
GB/T 7714
Chen, Ge,Su, Wei,Mei, Wenjun,et al. Convergence properties of the heterogeneous Deffuant-Weisbuch model[J]. AUTOMATICA,2020,114:9.
APA Chen, Ge,Su, Wei,Mei, Wenjun,&Bullo, Francesco.(2020).Convergence properties of the heterogeneous Deffuant-Weisbuch model.AUTOMATICA,114,9.
MLA Chen, Ge,et al."Convergence properties of the heterogeneous Deffuant-Weisbuch model".AUTOMATICA 114(2020):9.
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