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Göteborgs universitets publikationer

Further results on consensus formation in the Deffuant model

Författare och institution:
Olle Häggström (Institutionen för matematiska vetenskaper, matematisk statistik, Chalmers/GU); Timo Hirscher (Institutionen för matematiska vetenskaper, Chalmers/GU)
Publicerad i:
Electronic Journal of Probability, 19 s. artikel nr 19
ISSN:
1083-6489
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2014
Språk:
engelska
Fulltextlänk:
Fulltextlänk (lokalt arkiv):
Sammanfattning (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 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.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik ->
Sannolikhetsteori och statistik
Nyckelord:
Deffuant model; consensus formation; percolation.
Postens nummer:
195072
Ingår i post nr:
Posten skapad:
2014-03-14 15:08
Posten ändrad:
2016-07-04 08:48

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