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Timo Vilkas

Universitetslektor

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Strictly weak consensus in the uniform compass model on Z

Författare

  • Nina Gantert
  • Markus Heydenreich
  • Timo Hirscher

Summary, in English

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.

Publiceringsår

2020

Språk

Engelska

Sidor

1269-1293

Publikation/Tidskrift/Serie

Bernoulli

Volym

26

Issue

2

Dokumenttyp

Artikel i tidskrift

Förlag

Chapman and Hall

Ämne

  • Probability Theory and Statistics

Nyckelord

  • Consensus formation
  • Deffuant model
  • Interacting particle system
  • Invariant measures
  • Markov process
  • Opinion dynamics

Aktiv

Published

ISBN/ISSN/Övrigt

  • ISSN: 1350-7265