The Hegselmann-Krause dynamics on the circle converge
Systems and Control
2015-04-07 v2 Combinatorics
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.
Cite
@article{arxiv.1410.7330,
title = {The Hegselmann-Krause dynamics on the circle converge},
author = {Peter Hegarty and Anders Martinsson and Edvin Wedin},
journal= {arXiv preprint arXiv:1410.7330},
year = {2015}
}
Comments
9 pages, 2 figures. Version 2: A small error in the proof of Theorem 1.1 is corrected and an acknowledgement added. Bibliography updated