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On the Hegselmann-Krause conjecture in opinion dynamics

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arxiv 1401.4383 v1 pith:WPYEURIT submitted 2014-01-17 math.DS cs.SI

Sascha Kurz , Jörg Rambau This is my paper · ORCID
classification math.DScs.SI
keywords truthindividualsseekersamountboundedconjectureconvergedynamics
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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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