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2024 | OriginalPaper | Buchkapitel

A Particle Method for Continuous Hegselmann-Krause Opinion Dynamics

verfasst von : Christoph Börgers, Natasa Dragovic, Anna Haensch, Arkadz Kirshtein

Erschienen in: Complex Networks & Their Applications XII

Verlag: Springer Nature Switzerland

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Abstract

We derive a differential-integral equation akin to the Hegselmann -Krause model of opinion dynamics [R. Hegselmann and U. Krause, JASSS, vol. 5, 2002], and propose a particle method for solving the equation. Numerical experiments show second-order weak convergence of the method. We also show that our differential-integral equation can equivalently be stated as a system of differential equations. An integration-by-parts argument that would typically yield an energy dissipation inequality in physical problems yields a concentration inequality here, showing that a natural measure of concentration increases monotonically.

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Titel: A Particle Method for Continuous Hegselmann-Krause Opinion Dynamics
verfasst von: Christoph Börgers
Natasa Dragovic
Anna Haensch
Arkadz Kirshtein
Verlag: Springer Nature Switzerland
Buch: Complex Networks & Their Applications XII
Print ISBN: 978-3-031-53498-0

Electronic ISBN: 978-3-031-53499-7

Copyright-Jahr: 2024
DOI: https://doi.org/10.1007/978-3-031-53499-7_37

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