paper

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

arXiv:1503.02859 · doi:10.1007/s11590-015-0917-0

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.

8 pages, 1 figure; Incorrect losing coalitions were reported in the published version: S. Kurz and S. Napel (2016). Dimension of the Lisbon voting rules in the EU Council: a challenge and new world record. Optimization Letters, 10(6), 1245-1256, doi:10.1007/s11590-015-0917-0, due to a labeling inconsistency. The authors thank Jörg Aldag and Werner Kirsch for pointing out this error

References in corpus (1)

Cited by in corpus (5)