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convergencerateoftheasymmetricdeffuantweisbuchdynamics
Zhang Jiangbo1; Chen Ge2
2015
Source Publicationjournalofsystemsscienceandcomplexity
ISSN1009-6124
Volume28Issue:4Pages:773
AbstractThis 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 ε_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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/40691
Collection系统科学研究所
Affiliation1.西南石油大学
2.中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
Zhang Jiangbo,Chen Ge. convergencerateoftheasymmetricdeffuantweisbuchdynamics[J]. journalofsystemsscienceandcomplexity,2015,28(4):773.
APA Zhang Jiangbo,&Chen Ge.(2015).convergencerateoftheasymmetricdeffuantweisbuchdynamics.journalofsystemsscienceandcomplexity,28(4),773.
MLA Zhang Jiangbo,et al."convergencerateoftheasymmetricdeffuantweisbuchdynamics".journalofsystemsscienceandcomplexity 28.4(2015):773.
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