2 citations · 4 across the 5 of their papers we have counts for
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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…
The Hegselmann-Krause dynamics for equally spaced agents
Peter Hegarty, Edvin Wedin
We consider the Hegselmann-Krause bounded confidence dynamics for n equally spaced opinions on the real line, with gaps equal to the confidence bound r, which we take to be 1. We p…
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…
The Hegselmann-Krause dynamics for continuous agents and a regular opinion function do not always lead to consensus
Edvin Wedin, Peter Hegarty
We present an example of a regular opinion function which, as it evolves in accordance with the discrete-time Hegselmann-Krause bounded confidence dynamics, always retains opinions…