arXiv:1401.4383 Abstract | arXiv Analytics

arXiv:1401.4383 [math.DS]Abstract References Reviews Resources

On the Hegselmann-Krause conjecture in opinion dynamics

Published 2014-01-17Version 1

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.

Comments: 22 pages, 8 figures

Journal: Journal of Difference Equations and Applications, Vol. 17, Nr. 6 (2011), Pages 859-876

Categories: math.DS, cs.SI

Subjects: 39A11, 91D10, 37N99

Keywords: opinion dynamics, hegselmann-krause conjecture, truth seekers, symmetric bounded confidence interval model, individuals converge

Tags: journal article

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