Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compositional Game Theory with Mixed Strategies: Probabilistic Open
  Games Using a Distributive Law   We extend the open games framework for compositional game theory to encompass
also mixed strategies, making essential use of the discrete probability
distribution monad. We show that the resulting games form a symmetric monoidal
category, which can be used to compose probabilistic games in parallel and
sequentially. We also consider morphisms between games, and show that intuitive
constructions give rise to functors and adjunctions between pure and
probabilistic open games.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
3
The categories of this paper are: physics