Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphon Mean Field Games and the GMFG Equations   The emergence of the graphon theory of large networks and their infinite
limits has enabled the formulation of a theory of the centralized control of
dynamical systems distributed on asymptotically infinite networks (Gao and
Caines, IEEE CDC 2017, 2018). Furthermore, the study of the decentralized
control of such systems was initiated in (Caines and Huang, IEEE CDC 2018,
2019), where Graphon Mean Field Games (GMFG) and the GMFG equations were
formulated for the analysis of non-cooperative dynamic games on unbounded
networks. In that work, existence and uniqueness results were introduced for
the GMFG equations, together with an epsilon-Nash theory for GMFG systems which
relates infinite population equilibria on infinite networks to finite
population equilibria on finite networks. Those results are rigorously
established in this paper.

15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph