Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Voting for Committees in Agreeable Societies   We examine the following voting situation. A committee of $k$ people is to be
formed from a pool of n candidates. The voters selecting the committee will
submit a list of $j$ candidates that they would prefer to be on the committee.
We assume that $j \leq k < n$. For a chosen committee, a given voter is said to
be satisfied by that committee if her submitted list of $j$ candidates is a
subset of that committee. We examine how popular is the most popular committee.
In particular, we show there is always a committee that satisfies a certain
fraction of the voters and examine what characteristics of the voter data will
increase that fraction.

7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex