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math.DS2026
Non-freezing of the proximity digraph and non-pseudostable convergence in heterogeneous Hegselmann--Krause models: Counterexamples to conjectures and results of Mirtabatabaei and Bullo
Peter Hegarty, Damiano Ognissanti, Edvin Wedin
In 2012, Mirtabatabaei and Bullo studied heterogeneous Hegselmann--Krause models of opinion dynamics, where different agents may have different confidence or influence bounds. They…
math.DS2021★ 1 cited
A rigorous formulation of and partial results on Lorenz's "consensus strikes back" phenomenon for the Hegselmann-Krause model
Edvin Wedin
In a 2006 paper, Jan Lorenz observed a curious behaviour in numerical simulations of the Hegselmann-Krause model: Under some circumstances, making agents more closed-minded can pro…
math.DS2014★ 2 cited
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…