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Timo Vilkas
Senior lecturer
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Strictly weak consensus in the uniform compass model on Z
Author
Summary, in English
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.
Publishing year
2020
Language
English
Pages
1269-1293
Publication/Series
Bernoulli
Volume
26
Issue
2
Document type
Journal article
Publisher
Chapman and Hall
Topic
- Probability Theory and Statistics
Keywords
- Consensus formation
- Deffuant model
- Interacting particle system
- Invariant measures
- Markov process
- Opinion dynamics
Status
Published
ISBN/ISSN/Other
- ISSN: 1350-7265