Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Nash equilibrium macroscopic closure for kinetic models coupled with
  Mean-Field Games   We introduce a new mean field kinetic model for systems of rational agents
interacting in a game theoretical framework. This model is inspired from
non-cooperative anonymous games with a continuum of players and Mean-Field
Games. The large time behavior of the system is given by a macroscopic closure
with a Nash equilibrium serving as the local thermodynamic equilibrium. An
application of the presented theory to a social model (herding behavior) is
discussed.

33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin