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Timo Vilkas

Universitetslektor

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Further results on consensus formation in the Deffuant model

Författare

  • Olle Häggströmy
  • Timo Hirscher

Summary, in English

The so-called Deffuant model describes a pattern for social interaction, in which two neighboring individuals randomly meet and share their opinions on a certain topic, if their discrepancy is not beyond a given threshold θ. The major focus of the analyses, both theoretical and based on simulations, lies on whether these single interactions lead to a global consensus in the long run or not. First, we generalize a result of Lanchier for the Deffuant model on ℤ, determining the critical value for θ at which a phase transition of the long term behavior takes place, to other distributions of the initial opinions than i.i.d. uniform on [0; 1]. Then we shed light on the situations where the underlying line graph ℤ is replaced by higher-dimensional lattices ℤd; d ≥ 2, or the infinite cluster of supercritical i.i.d. bond percolation on these lattices.

Publiceringsår

2014-02-04

Språk

Engelska

Publikation/Tidskrift/Serie

Electronic Journal of Probability

Volym

19

Dokumenttyp

Artikel i tidskrift

Förlag

UNIV WASHINGTON, DEPT MATHEMATICS

Ämne

  • Probability Theory and Statistics

Nyckelord

  • Consensus formation
  • Deffuant model
  • Percolation

Aktiv

Published

ISBN/ISSN/Övrigt

  • ISSN: 1083-6489