Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlocal Solutions to Dynamic Equilibrium Models: The Approximate Stable
  Manifolds Approach   This study presents a method for constructing a sequence of approximate
solutions of increasing accuracy to general equilibrium models on nonlocal
domains. The method is based on a technique originated from dynamical systems
theory. The approximate solutions are constructed employing the Contraction
Mapping Theorem and the fact that solutions to general equilibrium models
converge to a steady state. The approach allows deriving the a priori and a
posteriori approximation errors of the solutions. Under certain nonlocal
conditions we prove the convergence of the approximate solutions to the true
solution and hence the Stable Manifold Theorem. We also show that the proposed
approach can be treated as a rigorous proof of convergence for the extended
path algorithm to the true solution in a class of nonlinear rational
expectation models.

1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an