A MODEL OF VOTING DYNAMICS UNDER BOUNDED CONFIDENCE WITH NONSTANDARD NORMING

被引：1

作者：

Pilyugin, Sergei Yu ^{[1
]}

Tarasova, Maria S. ^{[1
,2
]}

Tarasov, Aleksandr S. ^{[2
]}

Monakov, Grigorii, V ^{[3
]}

机构：

[1] St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia

[2] Univ Bielefeld, Univ Str 25, D-33615 Bielefeld, Germany

[3] Univ Calif Irvine, 400 Phys Sci Quad, Irvine, CA 92697 USA

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2022年 / 17卷 / 06期

关键词：

Opinion dynamics; voting processes; bounded confidence; dynamical systems; fixed points; HEGSELMANN-KRAUSE DYNAMICS; OPINION DYNAMICS; CONSENSUS;

D O I：

10.3934/nhm.2022032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a model of opinion dynamics based on the so-called \bounded confidence" principle introduced by Hegselmann and Krause. Following this principle, voters participating in an electoral decision with two options are inflenced by individuals sharing an opinion similar to their own. We consider a modification of this model where the operator generating the dynamical system which describes the process of formation the final distribution of opinions in the society is defined in two steps. First, to the opinion of an agent, a value proportional to opinions in his/her \inflence group" is added, and then the elements of the resulting array are divided by the maximal absolute value of elements to keep the opinions in the prescribed interval. We show that under appropriate conditions, any trajectory tends to a fixed point, and all the remaining fixed points are Lyapunov stable.

引用

页码：917 / 931

页数：15

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