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cs.SI updates on arXiv.org

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On the Hegselmann-Krause conjecture in opinion dynamics
Sascha Kurz, Jörg Rambau · 2014-01-17 · via cs.SI updates on arXiv.org

We give an elementary proof of a conjecture by Hegselmann and Krause in opinion dynamics, concerning a symmetric bounded confidence interval model: If there is a truth and all individuals take each other seriously by a positive amount bounded away from zero, then all truth seekers will converge to the truth. Here truth seekers are the individuals which are attracted by the truth by a positive amount. In the absence of truth seekers it was already shown by Hegselmann and Krause that the opinions of the individuals converge.

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