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

Title data

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

Official URL: Volltext

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Abstract in another language

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, working paper, discussion paper
Keywords: opinion dynamics; Hegselmann--Krause model; convergence time; optimal control
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 Mathematics in Economy > Chair Mathematics in Economy - 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 Mathematics in Economy
Research Institutions
Research Institutions > Research Centres
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 22 Nov 2014 22:00
Last Modified: 18 Mar 2019 12:57
URI: https://eref.uni-bayreuth.de/id/eprint/3884