Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Population Monotonic Allocation Schemes for Vertex Cover Games   For vertex cover games (introduced by Deng et al., Math. Oper. Res.,
24:751-766, 1999), we investigate population monotonic allocation schemes
(introduced by Sprumont, Games Econ. Behav., 2: 378-394, 1990). We show that
the existence of a population monotonic allocation scheme (PMAS for short) for
vertex cover games can be determined efficiently and that a PMAS, if exists,
can be constructed accordingly. We also show that integral PMAS-es for vertex
cover games can be characterized with stable matchings and be enumerated by
employing Gale-Shapley algorithm (introduced by Gale and Shapley, Amer. Math.
Monthly, 69:9-15, 1962).

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th