Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and uniqueness result for mean field games with congestion
  effect on graphs   This paper presents a general existence and uniqueness result for mean field
games equations on graphs ($\mathcal{G}$-MFG). In particular, our setting
allows to take into account congestion effects of almost any form. These
general congestion effects are particularly relevant in graphs in which the
cost to move from one node to another may for instance depend on the proportion
of players in both the source node and the target node. Existence is proved
using a priori estimates and a fixed point argument \`a la Schauder. We propose
a new criterion to ensure uniqueness in the case of Hamiltonian functions with
a complex (non-local) structure. This result generalizes the discrete
counterpart of existing uniqueness results.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs