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Timo Vilkas

Senior lecturer

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Strictly weak consensus in the uniform compass model on Z

Author

  • 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.

Publishing year

2020

Language

English

Pages

1269-1293

Publication/Series

Bernoulli

Volume

26

Issue

2

Document type

Journal article

Publisher

Chapman and Hall

Topic

  • Probability Theory and Statistics

Keywords

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

Status

Published

ISBN/ISSN/Other

  • ISSN: 1350-7265