The Hegselmann-Krause dynamics on the circle converge
Journal article, 2016
We consider the Hegselmann-Krause dynamics on a one-dimensional torus and provide the first proof of convergence of this system. The proof requires only fairly minor modifications of existing methods for proving convergence in Euclidean space.
convergence
circle
Hegselmann-Krause model
Author
Peter Hegarty
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Anders Martinsson
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Edvin Wedin
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Journal of Difference Equations and Applications
1023-6198 (ISSN) 1563-5120 (eISSN)
Vol. 22 11 1720-1731Areas of Advance
Information and Communication Technology
Roots
Basic sciences
Subject Categories
Discrete Mathematics
DOI
10.1080/10236198.2016.1235703