On One Modern Approach in Economic-Mathematical Modeling

DOI

10.2991/iscfec-18.2019.144How to use a DOI?

Keywords

Aggregation method, economic-mathematic modeling, differential lag equations.

Abstract

The problem of economic growth has always been a major issue in literature on micro-economics traditionally based on advanced mathematical theories. Aggregation method ("consolidation") in economic-mathematical simulation of has been successfully used by many authors to build dynamic models in macroeconomics, in particular, to model dynamics of net gross product (NGP). In constructing mathematical models, the authors, in addition to the classical Keynes multiplier (according to R. Allen) use the concept of accelerator. In the economic models of NGP dynamics traditionally this relationship is a linear function, and in more complex mathematical models it is a nonlinear function. R. Allen also pointed to the need to consider the delay ("lag"). Different types of delay are often based on mathematical differential equations with lag (differential equations with deviating argument). In the works of P.M. Simonov, it was first proposed to simulate the lag in the form . In this paper a nonlinear accelerator is considered rather extensively and mathematically justified. It is applied to the modified model of NGP by Phillips-Goodwin allowing for lag of the input of induced investments.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - G.A. Pushkarev
AU  - E.Yu. Vorob'eva
AU  - V.A. Sokolov
PY  - 2019/01
DA  - 2019/01
TI  - On One Modern Approach in Economic-Mathematical Modeling
BT  - Proceedings of the International Scientific Conference "Far East Con" (ISCFEC 2018)
PB  - Atlantis Press
SP  - 630
EP  - 633
SN  - 2352-5428
UR  - https://doi.org/10.2991/iscfec-18.2019.144
DO  - 10.2991/iscfec-18.2019.144
ID  - Pushkarev2019/01
ER  -