Krause's model of opinion dynamics on isolated time scales

被引：26

作者：

Girejko, Ewa ^{[1
]}

Machado, Luis ^{[2
]}

Malinowska, Agnieszka B. ^{[1
]}

Martins, Natalia ^{[3
]}

机构：

[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland

[2] Univ Tras Os Montes Alto Douro UTAD, Dept Math, P-5001801 Vila Real, Portugal

[3] Univ Aveiro, Dept Math, CIDMA Ctr Res & Dev Math & Applicat, P-3810193 Aveiro, Portugal

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 18期

关键词：

discrete dynamic systems; consensus formation; cluster formation; bounded confidence; opinion dynamics; time scale calculus; subclass; 34N05; 39A12; CALCULUS; EQUATIONS; BAT;

D O I：

10.1002/mma.3916

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze a bounded confidence model, introduced by Krause, on isolated time scales. In this model, each agent takes into account only the assessments of the agents whose opinions are not too far away from its own opinion. We show that the behavior of the model depends strongly on the graininess function : If takes values in the interval ]0,1], then our discrete time scale model behaves similarly to the classical one, but if takes values in ]1,+[, then the model has different properties. Simulations are performed to validate the theoretical results. Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：5302 / 5314

页数：13

共 28 条

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