Opinion dynamics using majority functions

被引：2

作者：

Yonta, Paulin Melatagia ^{[1
]}

Ndoundam, Rene ^{[1
,2
,3
]}

机构：

[1] Univ Yaounde, Fac Sci, Dept Informat, Yaounde, Cameroon

[2] Ecole Normale Super Lyon, Lab Informat Parallelisme, F-69364 Lyon 07, France

[3] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy

来源：

MATHEMATICAL SOCIAL SCIENCES | 2009年 / 57卷 / 02期

关键词：

Majority function; Opinion dynamics; Transient length; Period; Quasi-symmetry; Lyapunov functional; SOCIOPHYSICS;

D O I：

10.1016/j.mathsocsci.2008.12.006

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In this paper, we study the convergence of a mathematical model of opinion dynamics called the majority model. In this model, at each iteration step, each individual adopts the opinion which exerts on him the maximum social pressure. Under some assumptions on interaction among members of the society, we show that, in parallel mode, attractors of the system have period at most two and in sequential mode only fixed points are obtained. We also bound the transient length of iteration graphs of the society in both studied iterating modes. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：223 / 244

页数：22

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