Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A differential game on Wasserstein space. Application to weak
  approachability with partial monitoring   Studying continuous time counterpart of some discrete time dynamics is now a
standard and fruitful technique, as some properties hold in both setups. In
game theory, this is usually done by considering differential games on
Euclidean spaces. This allows to infer properties on the convergence of values
of a repeated game, to deal with the various concepts of approachability, etc.
In this paper, we introduce a specific but quite abstract differential game
defined on the Wasserstein space of probability distributions and we prove the
existence of its value. Going back to the discrete time dynamics, we derive
results on weak approachability with partial monitoring: we prove that any set
satisfying a suitable compatibility condition is either weakly approachable or
weakly excludable. We also obtain that the value for differential games with
nonanticipative strategies is the same that those defined with a new concept of
strategies very suitable to make links with repeated games.

7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an