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Opinion Dynamics with Multi-Body Interactions

  • We introduce and analyse a three-body consensus model (3CM) for non-linear consensus dynamics on hypergraphs. Our model incorporates reinforcing group effects, which can cause shifts in the average state of the system even in if the underlying graph is complete (corresponding to a mean-field interaction), a phenomena that may be interpreted as a type of peer pressure. We further demonstrate that for systems with two clustered groups, already a small asymmetry in our dynamics can lead to the opinion of one group becoming clearly dominant. We show that the nonlinearity in the model is the essential ingredient to make such group dynamics appear, and demonstrate how our system can otherwise be written as a linear, pairwise interaction system on a rescaled network.

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Metadaten
Document Type:Preprint
Language:English
Author(s):Leonie Neuhäuser, Michael Schaub, Andrew Mellor, Renaud Lambiotte
Parent Title (English):Physics and Society (physics.soc-ph)
Publication year:2021
Publishing Institution:Hertie School
Related URL:https://arxiv.org/abs/2004.00901
Release Date:2020/11/10
Edition:arXiv:2004.00901 [physics.soc-ph]
Hertie School Research:Publications PhD Researchers
Licence of document (German):Metadaten / metadata
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