Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steering the distribution of agents in mean-field and cooperative games   The purpose of this work is to pose and solve the problem to guide a
collection of weakly interacting dynamical systems (agents, particles, etc.) to
a specified terminal distribution. The framework is that of mean-field and of
cooperative games. A terminal cost is used to accomplish the task; we establish
that the map between terminal costs and terminal probability distributions is
onto. Our approach relies on and extends the theory of optimal mass transport
and its generalizations.

32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an