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Timo Vilkas

Universitetslektor

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Overly determined agents prevent consensus in a generalized Deffuant model on with dispersed opinions

Författare

  • Timo Hirscher

Summary, in English

During the last decades, quite a number of interacting particle systems have been introduced and studied in the crossover area of mathematics and statistical physics. Some of these can be seen as simplistic models for opinion formation processes in groups of interacting people. In the model introduced by Deffuant et al. (2000), agents that are neighbors on a given network graph, randomly meet in pairs and approach a compromise if their current opinions do not differ by more than a given threshold value θ. We consider the two-sided infinite path as the underlying graph and extend existing models to a setting in which opinions are given by probability distributions. Similar to what has been shown for finite-dimensional opinions, we observe a dichotomy in the long-term behavior of the model, but only if the initial narrow mindedness of the agents is restricted.

Publiceringsår

2017-09-01

Språk

Engelska

Sidor

722-744

Publikation/Tidskrift/Serie

Advances in Applied Probability

Volym

49

Issue

3

Dokumenttyp

Artikel i tidskrift

Förlag

Applied Probability Trust

Ämne

  • Probability Theory and Statistics

Nyckelord

  • Deffuant model
  • opinion dynamics
  • random measure
  • total variation distance

Aktiv

Published

ISBN/ISSN/Övrigt

  • ISSN: 0001-8678