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arxiv: 1501.02183 · v1 · pith:HALTNZNMnew · submitted 2015-01-09 · 💻 cs.SY · math.CO

An improved energy argument for the Hegselmann-Krause model

classification 💻 cs.SY math.CO
keywords hegselmann-krausemodelagentsargumentbestbounddimensionalenergy
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We show that the freezing time of the $d$-dimensional Hegselmann-Krause model is $O(n^4)$ where $n$ is the number of agents. This improves the best known upper bound whenever $d\geq 2$.

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