Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deterministic mean field games with control on the acceleration and
  state constraints   We consider deterministic mean field games in which the agents control their
acceleration and are constrained to remain in a domain of R n. We study relaxed
equilibria in the Lagrangian setting; they are described by a probability
measure on trajectories. The main results of the paper concern the existence of
relaxed equilibria under suitable assumptions. The fact that the optimal
trajectories of the related optimal control problem solved by the agents do not
form a compact set brings a difficulty in the proof of existence. The proof
also requires closed graph properties of the map which associates to initial
conditions the set of optimal trajectories.

23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex