Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accelerators in macroeconomics: Comparison of discrete and continuous
  approaches   We prove that the standard discrete-time accelerator equation cannot be
considered as an exact discrete analog of the continuous-time accelerator
equation. This leads to fact that the standard discrete-time macroeconomic
models cannot be considered as exact discretization of the corresponding
continuous-time models. As a result, the equations of the continuous and
standard discrete models have different solutions and can predict the different
behavior of the economy. In this paper, we propose a self-consistent
discrete-time description of the economic accelerators that is based on the
exact finite differences. For discrete-time approach, the model equations with
exact differences have the same solutions as the corresponding continuous-time
models and these discrete and continuous models describe the same behavior of
the economy. Using the Harrod-Domar growth model as an example, we show that
equations of the continuous-time model and the suggested exact discrete model
have the same solutions and these models predict the same behavior of the
economy.

23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat