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Dimension of the Lisbon voting rules in the EU Council: a challenge and new world record

URN to cite this document: urn:nbn:de:bvb:703-epub-1917-5

Title data

Kurz, Sascha ; Napel, Stefan:
Dimension of the Lisbon voting rules in the EU Council: a challenge and new world record.
Bayreuth , 2015 . - 8 S.

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Name:	dimension_eu28_arxiv.pdf
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Abstract

The new voting system of the Council of the European Union cannot be represented as the intersection of six or fewer weighted games, i.e., its dimension is at least 7. This sets a new record for real-world voting bodies. A heuristic combination of different discrete optimization methods yields a representation as the intersection of 13368 weighted games. Determination of the exact dimension is posed as a challenge to the community. The system's Boolean dimension is proven to be 3.

Further data

Item Type:	Preprint, postprint
Keywords:	simple games; weighted games; dimension, real-world voting systems; set covering problem; computational challenges
Subject classification:	MSC: 90C06, 05B40, 91B12, 91A12
DDC Subjects:	000 Computer Science, information, general works > 004 Computer science 300 Social sciences > 320 Political science 300 Social sciences > 330 Economics 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 Law, Business and Economics Faculties > Faculty of Law, Business and Economics > Department of Economics Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV - Microeconomics Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV - Microeconomics > Chair Economics IV - Microeconomics - Univ.-Prof. Dr. Stefan Napel Profile Fields Profile Fields > Emerging Fields Profile Fields > Emerging Fields > Governance and Responsibility
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-1917-5
Date Deposited:	13 Mar 2015 10:30
Last Modified:	13 Mar 2019 15:19
URI:	https://epub.uni-bayreuth.de/id/eprint/1917

Available Versions of this Item

Dimension of the Lisbon voting rules in the EU Council: a challenge and new world record. (deposited 13 Mar 2015 10:30) [Currently Displayed]
- Dimension of the Lisbon voting rules in the EU Council : a challenge and new world record. (deposited 26 Nov 2019 08:12)

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