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eess.SY2015★ 1 cited
An improved energy argument for the Hegselmann-Krause model
Anders Martinsson
We show that the freezing time of the -dimensional Hegselmann-Krause model is where is the number of agents. This improves the best known upper bound whenever $d\ge…
eess.SY2014★ 1 cited
The Hegselmann-Krause dynamics on the circle converge
Peter Hegarty, Anders Martinsson, Edvin Wedin
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…