Technology progress implementation based on a modified version of R.M. Solow economic growth model: with production s-curve consisting of n-steps

Authors

  • Alexey Lopatin Educational and Scientific Complex "Institute for Applied System Analysis" of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine https://orcid.org/0000-0002-0832-3600

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2021.3.08

Keywords:

modified Solow’s model, technology gap, periodic cycles and chaos

Abstract

The comparative analysis of the neoclassical Solow’s model and the modified Solow’s model in the implementation of technological progress has shown undeniable advantages of the modified Solow’s model. A modified version of the Solow’s economic growth model, based on an n-step production function in the form of n S-shaped functions for the implementation of technological progress, ensures the growth of the economy on a sufficiently large time interval comparable to the duration of the life cycle of the economy under study. In this interval, referred to as the “technology gap”, intensive output y (t) can be carried out according to the following options: monotonic decrease (stable 1-cycle) of the considered model; oscillations (stable n-cycles, n=2,4,16,…), “the economy marks time”; chaotic fluctuations. This result for the models of economic growth has not been described in the literature.

Author Biography

Alexey Lopatin, Educational and Scientific Complex "Institute for Applied System Analysis" of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv

Alexey K. Lopatin,

Doctor of Physical and Mathematical Sciences, a professor at the Department of Mathematical Methods of System Analysis of Educational and Scientific Complex "Institute for Applied System Analysis" of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine.

References

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Published

2021-09-30

Issue

Section

Decision making and control in economic, technical, ecological and social systems