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arXiv · 1410.7330

The Hegselmann-Krause dynamics on the circle converge

Peter Hegarty·Anders Martinsson·Edvin Wedin
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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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Peter Hegarty, Anders Martinsson, Edvin Wedin. 2015-04-06. The Hegselmann-Krause dynamics on the circle converge. https://arxiv.org/abs/1410.7330

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