Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlocal Bertrand and Cournot Mean Field Games with General Nonlinear
  Demand Schedule   In this article we prove the existence of classical solutions to a system of
mean field games arising in the study of exhaustible resource production under
market competition. Individual trajectories are modeled by a controlled
diffusion process with jumps, which adds a nonlocal term to the PDE system. The
assumptions on the Hamiltonian are sufficiently general to cover a large class
of examples proposed in the literature on Bertrand and Cournot mean field
games. Uniqueness also holds under a sufficient restriction on the structure of
the Hamiltonian, which in practice amounts to a small upper bound on the
substitutability of goods.

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn