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

Published 28 Feb 2014 in math.DS, cs.SI, and cs.SY | (1402.7184v1)

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.

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