Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the construction of general equilibria in a competitive economy   This paper gives a constructive treatment of McKenzie's theorem on the
existence of general equilibria. While the full theorem does not admit a
constructive proof, and hence does not admit a computational realisation, we
show that if we strengthen the conditions on our preference relation---we
require $\succ$ to be uniformly rotund in the sense of Bridges [5]---then we
can find `approximate equilibrium points,' points at which the collective
profit may not be maximal, but can be made arbitrarily close to being maximal.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio