Strictly weak consensus in the uniform compass model on Z
Artikel i vetenskaplig tidskrift, 2020

We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact with each other, and this interaction results in a realignment of opinions closer towards each other. This mechanism triggers formation of consensus among the individuals. Our main focus is on strong consensus (i.e., global agreement of all individuals) versus weak consensus (i.e., local agreement among neighbors). By extending a known model to a more general opinion space, which lacks a “central” opinion acting as a contraction point, we provide an example of an opinion formation process on the one-dimensional lattice Z with weak consensus but no
strong consensus.

invariant measures

Deffuant model

Markov process

interacting particle system

opinion dynamics

consensus formation

Författare

Timo Hirscher

Stockholms universitet

Nina Gantert

Technische Universität München

Markus Heydenreich

Ludwig-Maximilians-Universität München

Bernoulli

1350-7265 (ISSN)

Vol. 26 2 1269-1293

Fundament

Grundläggande vetenskaper

Ämneskategorier

Sannolikhetsteori och statistik

DOI

10.3150/19-BEJ1155

Mer information

Skapat

2020-09-08