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Timo Vilkas
Senior lecturer
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Further results on consensus formation in the Deffuant model
Author
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