Overly determined agents prevent consensus in a generalized Deffuant model on with dispersed opinions
Hirscher, Timo LU
(2017)
In Advances in Applied Probability
49(3).
p.722-744
- Abstract
During the last decades, quite a number of interacting particle systems have been introduced and studied in the crossover area of mathematics and statistical physics. Some of these can be seen as simplistic models for opinion formation processes in groups of interacting people. In the model introduced by Deffuant et al. (2000), agents that are neighbors on a given network graph, randomly meet in pairs and approach a compromise if their current opinions do not differ by more than a given threshold value θ. We consider the two-sided infinite path as the underlying graph and extend existing models to a setting in which opinions are given by probability distributions. Similar to what has been shown for finite-dimensional opinions, we... (More)
During the last decades, quite a number of interacting particle systems have been introduced and studied in the crossover area of mathematics and statistical physics. Some of these can be seen as simplistic models for opinion formation processes in groups of interacting people. In the model introduced by Deffuant et al. (2000), agents that are neighbors on a given network graph, randomly meet in pairs and approach a compromise if their current opinions do not differ by more than a given threshold value θ. We consider the two-sided infinite path as the underlying graph and extend existing models to a setting in which opinions are given by probability distributions. Similar to what has been shown for finite-dimensional opinions, we observe a dichotomy in the long-term behavior of the model, but only if the initial narrow mindedness of the agents is restricted.
(Less)
- author
- Hirscher, Timo
LU
- publishing date
- 2017-09-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Deffuant model, opinion dynamics, random measure, total variation distance
- in
- Advances in Applied Probability
- volume
- 49
- issue
- 3
- pages
- 23 pages
- publisher
- Applied Probability Trust
- external identifiers
-
- scopus:85029639169
- ISSN
- 0001-8678
- DOI
- 10.1017/apr.2017.19
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © Copyright Applied Probability Trust 2017.
- id
- 55a21b7d-c122-4ecc-bf95-99ce82b4455d
- date added to LUP
- 2023-12-14 13:20:56
- date last changed
- 2023-12-14 15:32:46
@article{55a21b7d-c122-4ecc-bf95-99ce82b4455d,
abstract = {{<p>During the last decades, quite a number of interacting particle systems have been introduced and studied in the crossover area of mathematics and statistical physics. Some of these can be seen as simplistic models for opinion formation processes in groups of interacting people. In the model introduced by Deffuant et al. (2000), agents that are neighbors on a given network graph, randomly meet in pairs and approach a compromise if their current opinions do not differ by more than a given threshold value θ. We consider the two-sided infinite path as the underlying graph and extend existing models to a setting in which opinions are given by probability distributions. Similar to what has been shown for finite-dimensional opinions, we observe a dichotomy in the long-term behavior of the model, but only if the initial narrow mindedness of the agents is restricted.</p>}},
author = {{Hirscher, Timo}},
issn = {{0001-8678}},
keywords = {{Deffuant model; opinion dynamics; random measure; total variation distance}},
language = {{eng}},
month = {{09}},
number = {{3}},
pages = {{722--744}},
publisher = {{Applied Probability Trust}},
series = {{Advances in Applied Probability}},
title = {{Overly determined agents prevent consensus in a generalized Deffuant model on with dispersed opinions}},
url = {{http://dx.doi.org/10.1017/apr.2017.19}},
doi = {{10.1017/apr.2017.19}},
volume = {{49}},
year = {{2017}},
}