Rebels Lead to the Doctrine of the Mean:A Heterogeneous DeGroot Model

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摘要 TheDeGrootmodelisoneofthemostclassicalmodelsinthefieldofopiniondynamics.ThestandardDeGrootmodelassumesthatagentsarehomogeneousandupdatetheiropinionsinthedirectionofaweightedaverageoftheirneighbors'opinions.Onenaturalquestioniswhetherasecondtypeofagentscouldsignificantlychangethemainpropertiesofthemodel.Theauthorsaddressthisquestionbyintroducingrebels,whoupdatetheiropinionstowardtheoppositeoftheirneighbors'weightedaverage.Theauthorsfindthattheexistenceofrebelsremarkablyaffectstheopiniondynamics.Undercertainmildconditions,theexistenceofafewrebelswillleadthegroupopiniontothegoldenmean,regardlessoftheinitialopinionsoftheagentsandthestructureofthelearningnetwork.ThisresultiscompletelydifferentfromthatofthestandardDeGrootmodel,wherethefinalconsensusopinionisdeterminedbyboththeinitialopinionsandthelearningtopology.Thestudythenprovidesnewinsightsintounderstandinghowheterogeneousindividualsinagroupreachconsensusandwhythegoldenmeanissocommoninhumansociety.
机构地区 不详
出版日期 2018年06月16日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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