Further results on consensus formation in the Deffuant model
Journal article, 2014

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 Z^d, d≥2, or the infinite cluster of supercritical i.i.d. bond percolation on these lattices.

consensus formation

percolation.

Deffuant model

Author

Olle Häggström

Chalmers, Mathematical Sciences, Mathematical Statistics

University of Gothenburg

Timo Hirscher

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Electronic Journal of Probability

10836489 (eISSN)

Vol. 19 artikel nr 19- 19

Subject Categories

Probability Theory and Statistics

DOI

10.1214/EJP.v19-3116

More information

Created

10/7/2017