Further results on consensus formation in the Deffuant model
(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
- Häggströmy, Olle and Hirscher, Timo LU
- publishing date
- 2014-02-04
- 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}}, }