具有遗忘个体的社会网络多维观点动力学分析与应用刘青松1李明鹏1柴利2,3摘要在个体观点演化过程中,由于通讯技术和实际环境的限制,个体之间往往不能进行充分的交流.另一方面,由于社会群体的从众压力影响,个体会改变已形成的观点.为此,研究了具有遗忘个体和从众压力的拟强连通社会网络中表达/私人观点演化问题.为刻画不同话题之间表达/私人观点的相互影响,提出一个新的多维观点动力学模型.根据逻辑矩阵和网络影响子矩阵的正则性,给出表达观点和私人观点收敛的充分条件.应用本文所提出的观点动力学模型,复现了“多元无知”的社会现象.仿真分析表明,从众压力的恢复力越小,表达观点与私人观点的差异越大.关键词多维观点动力学,遗忘个体,逻辑矩阵,表达观点,私人观点引用格式刘青松,李明鹏,柴利.具有遗忘个体的社会网络多维观点动力学分析与应用.自动化学报,2023,49(10):2201−2210DOI10.16383/j.aas.c210091AnalysisandApplicationofMultidimensionalOpinionDynamicsonSocialNetworksWithOblivionIndividualsLIUQing-Song1LIMing-Peng1CHAILi2,3AbstractDuetotherestrictionofcommunicationtechnologyandrealenvironment,individualsoftendonotcom-municateenoughwitheachotherintheevolutionprocessofopinions.Ontheotherhand,individualsmayaltertheirformedopinionsunderthepressuresofconforminginasocialcommunity.Inthispaper,weanalysetheevolu-tionproblemoftheexpressedandprivateopinionsforthequasi-stronglyconnectedsocialnetworkswithoblivionin-dividualsandthepressurestoconform.Todescribetheinteractioninfluencesofexpressed/privateopinionsondif-ferenttopics,anewmultidimensionalopiniondynamicsmodelisproposed.Sufficientconditionsguaranteeingtheconvergenceoftheexpressedandprivateopinionsareobtainedintermsoftheregularityofthelogicmatrixandin-fluencesubmatrix.Byapplyingourproposedopiniondynamicsmodeltoreproducethesocialphenomenonsofplur-alisticignorance.Simulationanalysesshowthatthesmallertheresilienceofthepressuresis,thelargerthediffer-enceisbetweenexpressedandprivateopinions.KeywordsMultidimensionalopiniondynamics,oblivionindividuals,logicmatrices,expressedopinions,privateopinionsCitationLiuQing-Song,LiMing-Peng,ChaiLi.Analysisandapplicationofmultidimensionalopiniondynamic...
