The Hegselmann-Krause dynamics for continuous agents and a regular   opinion function do not always lead to consensus
  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. 
Edvin Wedin and Peter Hegarty
math.DS cs.SI cs.SY