Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended deterministic mean-field games   In this paper, we consider mean-field games where the interaction of each
player with the mean-field takes into account not only the states of the
players but also their collective behavior, To do so, we develop a random
variable framework that is particularly convenient for these problems. We prove
an existence result for extended mean-field games and establish uniqueness
conditions. In the last section, we consider the Master Equation and discuss
properties of its solutions.

0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph