Doklady Mathematics

, Volume 92, Issue 3, pp 757–760 | Cite as

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

  • A. A. AkaevEmail author
  • A. I. Sarygulov
  • V. N. Sokolov


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.


Demand Function DOKLADY Mathematic Real Interest Rate Nominal Interest Rate Economic Dynamic 
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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  • A. A. Akaev
    • 1
    Email author
  • A. I. Sarygulov
    • 2
  • V. N. Sokolov
    • 3
  1. 1.Institute of Complex System Mathematical ResearchMoscow State UniversityMoscowRussia
  2. 2.St. Petersburg State University of Architecture and Civil EngineeringSt. PetersburgRussia
  3. 3.St. Petersburg State Economic UniversitySt. PetersburgRussia

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