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

Title data

Kurz, Sascha ; Napel, Stefan:
Dimension of the Lisbon voting rules in the EU Council : a challenge and new world record.
Universität Bayreuth
In: Optimization Letters. Vol. 10 (July 2016) Issue 6 . - pp. 1245-1256.
ISSN 1862-4472
DOI: https://doi.org/10.1007/s11590-015-0917-0

Abstract in another language

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: Article in a journal
Refereed: Yes
Keywords: simple games; weighted games; dimension; real-world voting systems; set covering problem; computational challenges
Subject classification: Mathematics Subject Classification Code: 90C06 (05B40 91B12 91A12)
Institutions of the University: 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 Law, Business and Economics > Department of Economics > Chair Economics IV
Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV > Chair Economics IV - Univ.-Prof. Dr. Stefan Napel
Profile Fields > Emerging Fields > Governance and Responsibility
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Law, Business and Economics
Faculties > Faculty of Law, Business and Economics > Department of Economics
Profile Fields
Profile Fields > Emerging Fields
Result of work at the UBT: Yes
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
Date Deposited: 01 Aug 2016 08:39
Last Modified: 10 Nov 2016 09:44
URI: https://eref.uni-bayreuth.de/id/eprint/33978