The Hegselmann-Krause dynamics on the circle converge

Published 27 Oct 2014 in cs.SY and math.CO | (1410.7330v2)

Abstract: 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.

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