Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Art and Beauty of Voting Power   We exhibit the hidden beauty of weighted voting and voting power by applying
a generalization of the Penrose-Banzhaf index to social choice rules. Three
players who have multiple votes in a committee decide between three options by
plurality rule, Borda's rule, antiplurality rule, or one of the scoring rules
in between. A priori influence on outcomes is quantified in terms of how
players' probabilities to be pivotal for the committee decision compare to a
dictator. The resulting numbers are represented in triangles that map out
structurally equivalent voting weights. Their geometry and color variation
reflect fundamental differences between voting rules, such as their
inclusiveness and transparency.

10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph