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Timo Vilkas
Universitetslektor
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Strictly weak consensus in the uniform compass model on Z
Författare
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.
Publiceringsår
2020
Språk
Engelska
Sidor
1269-1293
Publikation/Tidskrift/Serie
Bernoulli
Volym
26
Issue
2
Dokumenttyp
Artikel i tidskrift
Förlag
Chapman and Hall
Ämne
- Probability Theory and Statistics
Nyckelord
- Consensus formation
- Deffuant model
- Interacting particle system
- Invariant measures
- Markov process
- Opinion dynamics
Aktiv
Published
ISBN/ISSN/Övrigt
- ISSN: 1350-7265