摘要
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.
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 radius ~0. 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.
基金
supported by the Young Scholars Development Fund of Southwest Petroleum University(SWPU)under Grant No.201499010050
the Scientific Research Starting Project of SWPU under Grant No.2014QHZ032
the National Natural Science Foundation of China under Grant No.61203141
the National Key Basic Research Program of China(973 Program)under Grant No.2014CB845301/2/3
