Strictly weak consensus in the uniform compass model on Z
Gantert, Nina ; Heydenreich, Markus and Hirscher, Timo LU
(2020)
In Bernoulli
26(2).
p.1269-1293
- Abstract
We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact with each other, and this interaction results in a realignment of opinions closer towards each other. This mechanism triggers formation of consensus among the individuals. Our main focus is on strong consensus (i.e., global agreement of all individuals) versus weak consensus (i.e., local agreement among neighbors). By extending a known model to a more general opinion space, which lacks a "central" opinion acting as a contraction point, we provide an example of an opinion formation process on the one-dimensional lattice Z with weak consensus but no strong... (More)
We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact with each other, and this interaction results in a realignment of opinions closer towards each other. This mechanism triggers formation of consensus among the individuals. Our main focus is on strong consensus (i.e., global agreement of all individuals) versus weak consensus (i.e., local agreement among neighbors). By extending a known model to a more general opinion space, which lacks a "central" opinion acting as a contraction point, we provide an example of an opinion formation process on the one-dimensional lattice Z with weak consensus but no strong consensus.
(Less)
- author
- Gantert, Nina
; Heydenreich, Markus
and Hirscher, Timo
LU
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Consensus formation, Deffuant model, Interacting particle system, Invariant measures, Markov process, Opinion dynamics
- in
- Bernoulli
- volume
- 26
- issue
- 2
- pages
- 25 pages
- publisher
- Chapman and Hall
- external identifiers
-
- scopus:85082667525
- ISSN
- 1350-7265
- DOI
- 10.3150/19-BEJ1155
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2020 ISI/BS.
- id
- 64e2de3c-660a-420b-bd14-1e1b495522c8
- date added to LUP
- 2023-12-14 13:19:20
- date last changed
- 2023-12-14 15:15:14
@article{64e2de3c-660a-420b-bd14-1e1b495522c8,
abstract = {{<p>We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact with each other, and this interaction results in a realignment of opinions closer towards each other. This mechanism triggers formation of consensus among the individuals. Our main focus is on strong consensus (i.e., global agreement of all individuals) versus weak consensus (i.e., local agreement among neighbors). By extending a known model to a more general opinion space, which lacks a "central" opinion acting as a contraction point, we provide an example of an opinion formation process on the one-dimensional lattice Z with weak consensus but no strong consensus.</p>}},
author = {{Gantert, Nina and Heydenreich, Markus and Hirscher, Timo}},
issn = {{1350-7265}},
keywords = {{Consensus formation; Deffuant model; Interacting particle system; Invariant measures; Markov process; Opinion dynamics}},
language = {{eng}},
number = {{2}},
pages = {{1269--1293}},
publisher = {{Chapman and Hall}},
series = {{Bernoulli}},
title = {{Strictly weak consensus in the uniform compass model on Z}},
url = {{http://dx.doi.org/10.3150/19-BEJ1155}},
doi = {{10.3150/19-BEJ1155}},
volume = {{26}},
year = {{2020}},
}