Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scoring a Goal optimally in a Soccer game under Liouville-like quantum
  gravity action   In this paper we present a new theoretical model to find out an optimal
weight associated with a soccer player under the presence of a stochastic goal
dynamics by using Feynman path integral method, where the action of a player is
on $\sqrt{8/3}$-Liouville Quantum Gravity surface. Before determine the optimal
weight we first establish an Infinitary logic which can deal with infinite
variables on the strategy space then, a quantum formula of this logic has been
developed and finally, based on this we are able show the existence of a
Lefschetz-Hopf fixed point of this game. As in a competitive tournament, all
possible standard strategies to score goals are known to the opposition team, a
player's action is stochastic in nature and they would have some comparative
advantage to score goals. Furthermore, conditions like uncertainties due to
rain, dribbling and passing skill of a player, whether the match is a day match
or a day-night match, advantages of having home crowd and asymmetric
information of action profiles have been considered on the way to determine the
optimal weight.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an