Further results on consensus formation in the Deffuant model
Artikel i vetenskaplig tidskrift, 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

Författare

Olle Häggström

Chalmers, Matematiska vetenskaper, matematisk statistik

Göteborgs universitet

Timo Hirscher

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Electronic Journal of Probability

1083-6489 (ISSN)

Vol. 19 artikel nr 19- 19

Ämneskategorier

Sannolikhetsteori och statistik

DOI

10.1214/EJP.v19-3116