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Optimal control and the campaign problem

Title data

Rambau, Jörg ; Hegselmann, Rainer ; König, Stefan ; Kurz, Sascha ; Niemann, Christoph:
Optimal control and the campaign problem.
2015
Event: 27th European Conference on Operational Research , 12.-15.07.2015 , Glasgow, Scotland.
(Conference item: Conference , Speech )

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Abstract in another language

Opinion dynamics is nowadays a very common field of research. In this article we formulate and then study a novel, namely strategic perspective on such dynamics: There are the usual normal agents that update their opinions, for instance according the well-known bounded confidence mechanism. But, additionally, there is at least one strategic agent. That agent uses opinions as freely selectable strategies to get control on the dynamics: The strategic agent of our benchmark problem tries, during a campaign of a certain length, to influence the ongoing dynamics among normal agents with strategically placed opinions (one per period) in such a way, that, by the end of the campaign, as much as possible normals end up with opinions in a certain interval of the opinion space. Structurally, such a problem is an optimal control problem. That type of problem is ubiquitous. Resorting to advanced and partly non-standard methods for computing optimal controls, we solve some instances of the campaign problem. But even for a very small number of normal agents, just one strategic agent, and a ten-period campaign length, the problem turns out to be extremely difficult. Explicitly we discuss moral and political concerns that immediately arise, if someone starts to analyze the possibilities of an optimal opinion control.

Further data

Item Type: Conference item (Speech)
Refereed: No
Additional notes: Speaker: Jörg Rambau
Keywords: Hegselmann-Krause model; opinion dynamics; optimal control; campaign problem; optimization
Institutions of the University: Faculties
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
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy > Chair Mathematics in Economy - Univ.-Prof. Dr. Jörg Rambau
Profile Fields
Profile Fields > Emerging Fields
Profile Fields > Emerging Fields > Governance and Responsibility
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Research Institutions
Research Institutions > Research Centres
Faculties > Faculty of Cultural Studies > Former Professors > Lehrstuhl Philosophie I - Univ.-Prof. Dr. Rainer Hegselmann
Faculties > Faculty of Cultural Studies
Faculties > Faculty of Cultural Studies > Former Professors
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
100 Philosophy and psychology > 100 Philosophy
500 Science > 510 Mathematics
Date Deposited: 21 Jul 2015 09:12
Last Modified: 27 Apr 2017 06:24
URI: https://eref.uni-bayreuth.de/id/eprint/16864