Innovation Governs Everything Eventually: Extensions of the DeGroot Model

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	Innovation Governs Everything Eventually: Extensions of the DeGroot Model
	Yang Mingmin 1; Qu Xinglong 2; Cao Zhigang 1; Yang Xiaoguang1
	2017
发表期刊	Acta Mathematicae Applicatae Sinica
ISSN	0168-9673
卷号	33 期号:1 页码:35
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24957
专题	系统科学研究所
作者单位	1.中国科学院数学与系统科学研究院 2.杭州电子科技大学
推荐引用方式 GB/T 7714	Yang Mingmin,Qu Xinglong,Cao Zhigang,et al. Innovation Governs Everything Eventually: Extensions of the DeGroot Model[J]. Acta Mathematicae Applicatae Sinica,2017,33(1):35.
APA	Yang Mingmin,Qu Xinglong,Cao Zhigang,&Yang Xiaoguang.(2017).Innovation Governs Everything Eventually: Extensions of the DeGroot Model.Acta Mathematicae Applicatae Sinica,33(1),35.
MLA	Yang Mingmin,et al."Innovation Governs Everything Eventually: Extensions of the DeGroot Model".Acta Mathematicae Applicatae Sinica 33.1(2017):35.