Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimization of a Dynamic Profit Function using Euclidean Path Integral   A Euclidean path integral is used to find an optimal strategy for a firm
under a Walrasian system, Pareto optimality and a non-cooperative feedback Nash
Equilibrium. We define dynamic optimal strategies and develop a Feynman type
path integration method to capture all non-additive convex strategies. We also
show that the method can solve the non-linear case, for example
Merton-Garman-Hamiltonian system, which the traditional Pontryagin maximum
principle cannot solve in closed form. Furthermore, under Walrasian system we
are able to solve for the optimal strategy under a linear constraint with a
linear objective function with respect to strategy.

34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn