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Further results on consensus formation in the Deffuant model


 
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1. Title Title of document Further results on consensus formation in the Deffuant model
 
2. Creator Author's name, affiliation, country Olle Häggström; Chalmers University of Technology; Sweden
 
2. Creator Author's name, affiliation, country Timo Hirscher; Chalmers University of Technology; Sweden
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Deffuant model, consensus formation, percolation
 
3. Subject Subject classification 60K35
 
4. Description Abstract 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 $\theta$. 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 $\mathbb{Z}$, determining the critical value for $\theta$ 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 $\mathbb{Z}$ is replaced by higher-dimensional lattices $\mathbb{Z}^d,\ d\geq2$, or the infinite cluster of supercritical i.i.d. bond percolation on these lattices.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Swedish Research Council, Knut and Alice Wallenberg Foundation
 
7. Date (YYYY-MM-DD) 2014-02-04
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/3116
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-3116
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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