RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods

  • ISSN (Print) 0424-7388
  • ISSN (Online) 3034-6177

ANALYSIS OF ECONOMIC CYCLES USING A MATHEMATICAL MODEL OF MARKOV RANDOM PROCESSES

PII
S042473880000616-6-1
DOI
10.7868/S0000616-6-1
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume / Issue №1
Pages
27-37
Abstract
For the first time, an attempt is made to mathematically formalize the theory of business cycles by I. Schumpeter using the model of Markov random processes of reproduction and death. Explicit solutions have been obtained that describe the dynamics of ups and downs in economic activity caused by technological shocks. The stability of the model is shown under the influence of a random number of random supply shocks. Curves of cyclical fluctuations in economic activity are plotted.
Keywords
Date of publication
01.01.2007
Year of publication
2007
Number of purchasers
0
Views
843

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At the Ministry of Education and Science of the Russian Federation

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