Dimension of the Lisbon Voting Rules in the EU Council: A Challenge and New World Record

8 Pages Posted: 10 Mar 2015

See all articles by Sascha Kurz

Sascha Kurz

University of Bayreuth

Stefan Napel

University of Bayreuth

Date Written: March 10, 2015

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.

Keywords: simple games, weighted games, dimension, real-world voting systems, set covering problem, computational challenges

JEL Classification: C71, C63, D72

Suggested Citation

Kurz, Sascha and Napel, Stefan, Dimension of the Lisbon Voting Rules in the EU Council: A Challenge and New World Record (March 10, 2015). Available at SSRN: https://ssrn.com/abstract=2576140 or http://dx.doi.org/10.2139/ssrn.2576140

Sascha Kurz (Contact Author)

University of Bayreuth ( email )

Universit├Ątsstr. 30
Lehrstuhl f├╝r Wirtschaftsmathematik
Bayreuth, Bavaria D-95440
Germany
+49 921 55 7353 (Phone)
+49 921 55 7352 (Fax)

HOME PAGE: http://www.wm.uni-bayreuth.de/index.php?id=sascha

Stefan Napel

University of Bayreuth ( email )

Universitatsstr 30
Bayreuth, D-95447
Germany

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