Skip to main content
SpringerLink
Log in

Mathematical models of economic dynamics in the context of high inflation and unstable development

  • Mathematics
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

Abstract

A new approach to the design of the demand function based on a Pareto distribution law is proposed, and a self-contained mathematical model that adequately describes short-term economic dynamics in the case of high inflation and unstable development is constructed. Classical models well describe only two extreme cases: normal (creeping) inflation and hyperinflation. The model developed has been successfully applied to the analysis and short-term prediction of the Russian economy in the context of high inflation and unstable development, which are intermediate conditions between the above extreme cases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. Romer, Advanced Macroeconomics (McGraw-Hill Education, New York, 2011; Vyssh. Shkola Ekon., Moscow, 2014) [in Russian].

    Google Scholar 

  2. Ph. Cagan, Studies in the Quantity Theory of Money (Univ. of Chicago Press, Chicago, 1956), pp. 25–117.

    Google Scholar 

  3. E. A. Tumanova and N. L. Shagas, Macroeconomics (Infra-M, Moscow, 2004) [in Russian].

    Google Scholar 

  4. A. D. Smirnov, Lectures on Macroeconomic Modeling (Vyssh. Shkola Ekon., Moscow, 2000) [in Russian].

    Google Scholar 

  5. A. A. Akaev, Talk Given at the 3rd International Symposium on Multiphase Systems (Inst. Okeanol. im. P. P. Shirshova, Ross. Akad. Nauk, Moscow, 2015) [in Russian].

    Google Scholar 

  6. V. M. Petrov and A. I. Yablonskii, Mathematics of Social Inequality (Librokom, Moscow, 2013) [in Russian].

    Google Scholar 

  7. S. Sinel’nikov-Murylev, S. Drobyshevskii, and M. Kazakova, Ekon. Politika, No. 5, 7–37 (2014).

    Google Scholar 

  8. E. S. Venttsel’ and L. A. Ovcharov, Probability Theory and Engineering Applications (Akademiya, Moscow, 2003) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Complex System Mathematical Research, Moscow State University, Moscow, 119992, Russia

    A. A. Akaev

  2. St. Petersburg State University of Architecture and Civil Engineering, St. Petersburg, Russia

    A. I. Sarygulov

  3. St. Petersburg State Economic University, St. Petersburg, Russia

    V. N. Sokolov

Authors
  1. A. A. Akaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Sarygulov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. N. Sokolov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Akaev.

Additional information

Original Russian Text © A.A. Akaev, A.I. Sarygulov, V.N. Sokolov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 465, No. 6, pp. 643–646.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Akaev, A.A., Sarygulov, A.I. & Sokolov, V.N. Mathematical models of economic dynamics in the context of high inflation and unstable development. Dokl. Math. 92, 757–760 (2015). https://doi.org/10.1134/S1064562415060332

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562415060332

Keywords

Search

Navigation