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Further results on consensus formation in the Deffuant model

Häggströmy, Olle and Hirscher, Timo LU orcid (2014) In Electronic Journal of Probability 19.
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... (More)

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.

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author
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publishing date
type
Contribution to journal
publication status
published
subject
keywords
Consensus formation, Deffuant model, Percolation
in
Electronic Journal of Probability
volume
19
article number
19
publisher
UNIV WASHINGTON, DEPT MATHEMATICS
external identifiers
  • scopus:84893622469
ISSN
1083-6489
DOI
10.1214/EJP.v19-3116
language
English
LU publication?
no
id
1a78a8ec-e69e-48ad-8f0a-17b193dedf6f
date added to LUP
2023-12-14 13:20:07
date last changed
2023-12-14 16:02:56
@article{1a78a8ec-e69e-48ad-8f0a-17b193dedf6f,
  abstract     = {{<p>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<sup>d</sup>; d ≥ 2, or the infinite cluster of supercritical i.i.d. bond percolation on these lattices.</p>}},
  author       = {{Häggströmy, Olle and Hirscher, Timo}},
  issn         = {{1083-6489}},
  keywords     = {{Consensus formation; Deffuant model; Percolation}},
  language     = {{eng}},
  month        = {{02}},
  publisher    = {{UNIV WASHINGTON, DEPT MATHEMATICS}},
  series       = {{Electronic Journal of Probability}},
  title        = {{Further results on consensus formation in the Deffuant model}},
  url          = {{http://dx.doi.org/10.1214/EJP.v19-3116}},
  doi          = {{10.1214/EJP.v19-3116}},
  volume       = {{19}},
  year         = {{2014}},
}