Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-State Contract Theory with a Principal and a Field of Agents   We use the recently developed probabilistic analysis of mean field games with
finitely many states in the weak formulation, to set-up a principal / agent
contract theory model where the principal faces a large population of agents
interacting in a mean field manner. We reduce the problem to the optimal
control of dynamics of the McKean-Vlasov type, and we solve this problem
explicitly in a special case reminiscent of the linear - quadratic mean field
game models. The paper concludes with a numerical example demonstrating the
power of the results when applied to a simple example of epidemic containment.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph