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Optimal Opinion Control : The Campaign Problem

URN to cite this document: urn:nbn:de:bvb:703-epub-1910-6

Title data

Hegselmann, Rainer ; König, Stefan ; Kurz, Sascha ; Niemann, Christoph ; Rambau, Jörg:
Optimal Opinion Control : The Campaign Problem.
Bayreuth , 2015 . - 47 S.

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Abstract

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: Preprint, postprint
Keywords: Hegselmann-Krause model; opinion dynamics; optimal control; campaign problem; optimization
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
100 Philosophy and psychology > 100 Philosophy
500 Science > 510 Mathematics
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 Mathematical Economics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics > Chair Mathematical Economics - Univ.-Prof. Dr. Jörg Rambau
Faculties > Faculty of Law, Business and Economics
Faculties > Faculty of Law, Business and Economics > Department of Business Administration
Faculties > Faculty of Law, Business and Economics > Department of Business Administration > Chair Business Administration VII - Information Systems Management
Faculties > Faculty of Cultural Studies
Faculties > Faculty of Cultural Studies > Department of Philosophy > Professor Philosophy I
Research Institutions
Research Institutions > Research Centres
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Faculties > Faculty of Cultural Studies > Department of Philosophy
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-1910-6
Date Deposited: 13 Mar 2015 10:15
Last Modified: 13 Mar 2019 12:36
URI: https://epub.uni-bayreuth.de/id/eprint/1910

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