Strictly weak consensus in the uniform compass model on Z
Journal article, 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

opinion dynamics

interacting particle system

consensus formation

Author

Timo Hirscher

Stockholm University

Nina Gantert

Technical University of Munich

Markus Heydenreich

Ludwig-Maximilian University of Munich

Bernoulli

1350-7265 (ISSN)

Vol. 26 2 1269-1293

Roots

Basic sciences

Subject Categories

Probability Theory and Statistics

DOI

10.3150/19-BEJ1155

More information

Latest update

10/14/2020