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MULTIAGENT OPINION DYNAMICS OF BOUNDED CONFIDENCE WITH NONLOCAL AGGREGATIVE INTERACTION
Zhang, Jiangbo1; Hong, Yiguang2; Hu, Xiaoming3
2017
Source PublicationSIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN0363-0129
Volume55Issue:4Pages:2543-2573
AbstractIn this paper, we propose nonlocal aggregative opinion interactions for a bounded-confidence opinion model to demonstrate the fluctuation mechanism, and then study this opinion fluctuation mechanism by both theoretical analyses and numerical simulations. In this proposed agent-based opinion model, there are stubborn agents and regular agents: while each stubborn agent never changes its opinion, a regular agent updates his/her opinion based on selected agents' opinion values and his/her confidence bound. At first, we show that the global fluctuation for opinions of regular agents occurs almost surely if and only if the confidence bound of regular agents is larger than a critical value. Next, we give an estimated probability bound of the local fluctuation for regular agent opinions when the confidence bound is sufficiently small. Finally, we provide upper and lower bounds on the fluctuation strength and the regular agent opinion mean in the case when the global fluctuation occurs almost surely.
Keywordopinion dynamics bounded confidence fluctuation nonlocal aggregation
DOI10.1137/16M1083268
Language英语
Funding Projectsocial science project of Sichuan Education Department[XQ15B10] ; scientific research starting project of Southwest Petroleum University (SWPU)[2014QHZ032] ; NNSF of China[61573344]
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000408935200015
PublisherSIAM PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26520
Collection系统科学研究所
Corresponding AuthorZhang, Jiangbo
Affiliation1.Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.KTH Royal Inst Technol, Ctr Autonomous Syst, S-10044 Stockholm, Sweden
Recommended Citation
GB/T 7714
Zhang, Jiangbo,Hong, Yiguang,Hu, Xiaoming. MULTIAGENT OPINION DYNAMICS OF BOUNDED CONFIDENCE WITH NONLOCAL AGGREGATIVE INTERACTION[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2017,55(4):2543-2573.
APA Zhang, Jiangbo,Hong, Yiguang,&Hu, Xiaoming.(2017).MULTIAGENT OPINION DYNAMICS OF BOUNDED CONFIDENCE WITH NONLOCAL AGGREGATIVE INTERACTION.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,55(4),2543-2573.
MLA Zhang, Jiangbo,et al."MULTIAGENT OPINION DYNAMICS OF BOUNDED CONFIDENCE WITH NONLOCAL AGGREGATIVE INTERACTION".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 55.4(2017):2543-2573.
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