Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved lower bound on the dimension of the EU council's voting rules   Kurz and Napel (2015) proved that the voting system of the EU council (based
on the 2014 population data) cannot be represented as the intersection of six
weighted games, i.e., its dimension is at least 7. This set a new record for
real-world voting rules and the authors posed the exact determination as a
challenge. Recently, Chen, Cheung, and Ng (2019) showed that the dimension is
at most 24.
  We provide the first improved lower bound and show that the dimension is at
least 8.

35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg