The Hegselmann-Krause dynamics for continuous agents and a regular opinion function do not always lead to consensus
arXiv:1402.7184
Abstract
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 which are separated by more than two. This confirms a conjecture of Blondel, Hendrickx and Tsitsiklis.
11 pages, 3 figures