Dimension of the European Union Council according to the Lisbon Treaty

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Kurz, Sascha ; Napel, Stefan:
Dimension of the European Union Council according to the Lisbon Treaty.
2015
Veranstaltung: 27th European Conference on Operational Research , 12.-15.07.2015 , Glasgow, Scotland.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

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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.