Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial Graphs With Applications To Graphical Games, Extensive-Form
  Games, and Games With Emergent Node Tree Structures   We prove a theorem computing the number of solutions to a system of equations
which is generic subject to the sparsity conditions embodied in a graph. We
apply this theorem to games obeying graphical models and to extensive-form
games. We define emergent-node tree structures as additional structures which
normal form games may have. We apply our theorem to games having such
structures. We briefly discuss how emergent node tree structures relate to
cooperative games.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn