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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…
eess.SY2014
A quadratic lower bound for the convergence rate in the one-dimensional Hegselmann-Krause bounded confidence dynamics
Edvin Wedin, Peter Hegarty
Let f_{k}(n) be the maximum number of time steps taken to reach equilibrium by a system of n agents obeying the k-dimensional Hegselmann-Krause bounded confidence dynamics. Previou…