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