The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Default user image.

Timo Vilkas

Senior lecturer

Default user image.

Further results on consensus formation in the Deffuant model

Author

  • 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.

Publishing year

2014-02-04

Language

English

Publication/Series

Electronic Journal of Probability

Volume

19

Document type

Journal article

Publisher

UNIV WASHINGTON, DEPT MATHEMATICS

Topic

  • Probability Theory and Statistics

Keywords

  • Consensus formation
  • Deffuant model
  • Percolation

Status

Published

ISBN/ISSN/Other

  • ISSN: 1083-6489