Fixed points in models of continuous opinion dynamics under bounded confidence

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dc.creatorLorenz, Jan
dc.date2008-06-10
dc.date.accessioned2026-07-07T09:43:34Z
dc.date.available2026-07-07T09:43:34Z
dc.descriptionWe present two models of continuous opinion dynamics under bounded confidence which are representable as nonnegative discrete dynamical systems, namely the Hegselmann-Krause model (Hegselmann and Krause, Journal of Artificial Societies and Social Simulation 5(3), 2002) and the Deffuant-Weisbuch model (Deffuant et al, Advances in Complex Systems, 3, 2000). We fully characterize the set of fixed points for both models. They are identical. Further on, we present reformulations of both models on the more general level of densities of agents in the opinion space as interactive Markov chains. We also characterize the sets of fixed points as identical in both models.
dc.description18 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0806.1587
dc.identifierhttp://arxiv.org/abs/0806.1587
dc.identifierCommunications of the Laufen Colloquium on Science 2007, A. Ruffing, A. Suhrer, J. Suhrer (Eds.), Shaker Publishing, 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162608
dc.subjectPhysics and Society
dc.subjectDynamical Systems
dc.titleFixed points in models of continuous opinion dynamics under bounded confidence
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