On the Hegselmann-Krause conjecture in opinion dynamics

被引：28

作者：

Kurz, Sascha ^{[1
]}

Rambau, Joerg ^{[1
]}

机构：

[1] Univ Bayreuth, Dept Math, D-95440 Bayreuth, Germany

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2011年 / 17卷 / 06期

关键词：

opinion dynamics; consensus/dissent bounded confidence; nonlinear dynamical systems; TRUTH;

D O I：

10.1080/10236190903443129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an elementary proof of a conjecture by Hegselmann and Krause in opinion dynamics, concerning a symmetric bounded confidence interval model: If there is a truth and all individuals take each other seriously by a positive amount bounded away from zero, then all truth seekers will converge to the truth. Here, truth seekers are the individuals who are attracted by the truth by a positive amount. In the absence of truth seekers, it was already shown by Hegselmann and Krause that the opinions of the individuals converge.

引用

页码：859 / 876

页数：18

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