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Innovation Governs Everything Eventually: Extensions of the DeGroot Model

文献类型：期刊论文

作者Yang, Ming-min1; Qu, Xing-long2; Cao, Zhi-gang1; Yang, Xiao-guang1; Yang Xiaoguang
刊名ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
出版日期2017-02-01
卷号33期号:1页码:35-42
关键词social network non-Bayesian learning opinion dynamics DeGroot model
ISSN号0168-9673
DOI10.1007/s10255-016-0621-6
英文摘要We study the DeGroot model for continuous opinion dynamics under the influence of innovations. In the original model, individuals' opinions, after given their initial values, evolve merely according to the given learning topology. The main contribution of this paper is that external innovation effects are introduced: each individual is given the opportunity to change her opinion to a randomly selected opinion according to a given distribution on the opinion space and then the external opinion is either adapted by the individual, or combined into her learning process. It turns out that all the classical results of the DeGroot model are violated in this new model. We prove that convergence can still be guaranteed in the expectation sense, regardless of the learning topology. We also study the steady distributions of opinions among the society and the time spent to reach a steady state by means of Monte-Carlo simulations.
资助项目973 Program[2010CB731405] ; National Natural Science Foundation of China[71101140] ; National Natural Science Foundation of China[11471326]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000397252300003
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24956]  
专题系统科学研究所
通讯作者Yang, Xiao-guang
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Management Decis & Informat Syst, Beijing 100190, Peoples R China
2.Hangzhou Dianzi Univ, Res Ctr Informat Technol & Econ & Social Dev, Hangzhou 310018, Peoples R China
推荐引用方式
GB/T 7714		 Yang, Ming-min,Qu, Xing-long,Cao, Zhi-gang,et al. Innovation Governs Everything Eventually: Extensions of the DeGroot Model[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2017,33(1):35-42.
APA Yang, Ming-min,Qu, Xing-long,Cao, Zhi-gang,Yang, Xiao-guang,&Yang Xiaoguang.(2017).Innovation Governs Everything Eventually: Extensions of the DeGroot Model.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,33(1),35-42.
MLA Yang, Ming-min,et al."Innovation Governs Everything Eventually: Extensions of the DeGroot Model".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 33.1(2017):35-42.

入库方式： OAI收割

来源：数学与系统科学研究院

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