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arXiv · 1402.7184

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

Edvin Wedin·Peter Hegarty
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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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Edvin Wedin, Peter Hegarty. 2014-02-28. The Hegselmann-Krause dynamics for continuous agents and a regular opinion function do not always lead to consensus. https://arxiv.org/abs/1402.7184

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