On Convergence Rate of Scalar Hegselmann-Krause Dynamics

Published 18 Nov 2012 in math.DS | (1211.4189v1)

Abstract: In this work, we derive a new upper bound on the termination time of the Hegselmann-Krause model for opinion dynamics. Using a novel method, we show that the termination rate of this dynamics happens no longer than $O(n^3)$ which improves the best known upper bound of $O(n^4)$ by a factor of $n$ .

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