Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double-interval societies   Consider a society of voters, each of whom specify an approval set over a
linear political spectrum. We examine double-interval societies, in which each
person's approval set is represented by two disjoint closed intervals, and
study this situation where the approval sets are pairwise-intersecting: every
pair of voters has a point in the intersection of their approval sets. The
approval ratio for a society is, loosely speaking, the popularity of the most
popular position on the spectrum. We study the question: what is the minimal
guaranteed approval ratio for such a society? We provide a lower bound for the
approval ratio, and examine a family of societies that have rather low approval
ratios. These societies arise from double-n strings: arrangements of n symbols
in which each symbol appears exactly twice.

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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ