Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semicooperation under curved strategy spacetime   Mutually beneficial cooperation is a common part of economic systems as firms
in partial cooperation with others can often make a higher sustainable profit.
Though cooperative games were popular in 1950s, recent interest in
non-cooperative games is prevalent despite the fact that cooperative bargaining
seems to be more useful in economic and political applications. In this paper
we assume that the strategy space and time are inseparable with respect to a
contract. Under this assumption we show that the strategy spacetime is a
dynamic curved Liouville-like 2-brane quantum gravity surface under asymmetric
information and that traditional Euclidean geometry fails to give a proper
feedback Nash equilibrium. Cooperation occurs when two firms' strategies fall
into each other's influence curvature in this strategy spacetime. Small firms
in an economy dominated by large firms are subject to the influence of large
firms. We determine an optimal feedback semi-cooperation of the small firm in
this case using a Liouville-Feynman path integral method.

25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex