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Optimal control of the convergence time in the Hegselmann-Krause dynamics

URN to cite this document: urn:nbn:de:bvb:703-epub-1778-6

Title data

Kurz, Sascha:
Optimal control of the convergence time in the Hegselmann-Krause dynamics.
Universität Bayreuth
Bayreuth , 2014 . - 14 S.

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Abstract

We study the optimal control problem of minimizing the convergence time in the discrete Hegselmann--Krause model of opinion dynamics. The underlying model is extended with a set of strategic agents that can freely place their opinion at every time step. Indeed, if suitably coordinated, the strategic agents can significantly lower the convergence time of an instance of the Hegselmann--Krause model. We give several lower and upper worst-case bounds for the convergence time of a Hegselmann--Krause system with a given number of strategic agents, while still leaving some gaps for future research.

Further data

Item Type: Preprint, postprint
Keywords: opinion dynamics; Hegselmann--Krause model; convergence time; optimal control
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics > Chair Mathematical Economics - Univ.-Prof. Dr. Jörg Rambau
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics
Research Institutions
Research Institutions > Research Centres
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-1778-6
Date Deposited: 20 Nov 2014 09:49
Last Modified: 18 Mar 2019 12:56
URI: https://epub.uni-bayreuth.de/id/eprint/1778
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