English

The Hegselmann-Krause dynamics for continuous agents and a regular opinion function do not always lead to consensus

Dynamical Systems 2014-03-03 v1 Social and Information Networks Systems and Control

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.

Cite

@article{arxiv.1402.7184,
  title  = {The Hegselmann-Krause dynamics for continuous agents and a regular opinion function do not always lead to consensus},
  author = {Edvin Wedin and Peter Hegarty},
  journal= {arXiv preprint arXiv:1402.7184},
  year   = {2014}
}

Comments

11 pages, 3 figures

R2 v1 2026-06-22T03:17:42.560Z