This paper considers the convergence rate of an asymmetric Deffuant-Weisbuch model.The model is composed by finite n interacting agents.In this model,agent i’s opinion is updated at each time,by first selecting one r...This paper considers the convergence rate of an asymmetric Deffuant-Weisbuch model.The model is composed by finite n interacting agents.In this model,agent i’s opinion is updated at each time,by first selecting one randomly from n agents,and then combining the selected agent j’s opinion if the distance between j’s opinion and i’s opinion is not larger than the confidence radiusε0.This yields the endogenously changing inter-agent topologies.Based on the previous result that all agents opinions will converge almost surely for any initial states,the authors prove that the expected potential function of the convergence rate is upper bounded by a negative exponential function of time t when opinions reach consensus finally and is upper bounded by a negative power function of time t when opinions converge to several different limits.展开更多
意见领袖演化模型的构建是揭示群体共识形成规律的一项有效途径。本研究按照ABM模型(Agentbased M odeling)的建模范式,分析了具有成员流动性的复杂开放网络中的多主体意见演化状况。仿真实验的结果表明,信任阈值虽然与最终呈现的意见...意见领袖演化模型的构建是揭示群体共识形成规律的一项有效途径。本研究按照ABM模型(Agentbased M odeling)的建模范式,分析了具有成员流动性的复杂开放网络中的多主体意见演化状况。仿真实验的结果表明,信任阈值虽然与最终呈现的意见簇数量存在负相关关系,但关系强度明显低于传统Weisbuch-Deffuant模型;在没有特殊干预的情况下,个体意见初始分布的偏向性会伴随意见演化过程始终;初始活动群体的连通性越强,其中各主体意见越容易在意见交互中实现快速收敛。展开更多
基金supported by the Young Scholars Development Fund of Southwest Petroleum University(SWPU)under Grant No.201499010050the Scientific Research Starting Project of SWPU under Grant No.2014QHZ032+1 种基金the National Natural Science Foundation of China under Grant No.61203141the National Key Basic Research Program of China(973 Program)under Grant No.2014CB845301/2/3
文摘This paper considers the convergence rate of an asymmetric Deffuant-Weisbuch model.The model is composed by finite n interacting agents.In this model,agent i’s opinion is updated at each time,by first selecting one randomly from n agents,and then combining the selected agent j’s opinion if the distance between j’s opinion and i’s opinion is not larger than the confidence radiusε0.This yields the endogenously changing inter-agent topologies.Based on the previous result that all agents opinions will converge almost surely for any initial states,the authors prove that the expected potential function of the convergence rate is upper bounded by a negative exponential function of time t when opinions reach consensus finally and is upper bounded by a negative power function of time t when opinions converge to several different limits.
文摘意见领袖演化模型的构建是揭示群体共识形成规律的一项有效途径。本研究按照ABM模型(Agentbased M odeling)的建模范式,分析了具有成员流动性的复杂开放网络中的多主体意见演化状况。仿真实验的结果表明,信任阈值虽然与最终呈现的意见簇数量存在负相关关系,但关系强度明显低于传统Weisbuch-Deffuant模型;在没有特殊干预的情况下,个体意见初始分布的偏向性会伴随意见演化过程始终;初始活动群体的连通性越强,其中各主体意见越容易在意见交互中实现快速收敛。
