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Analysis of the problem of intervention control in the economy on the basis of solving the problem of tuning

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  • Peter Shnurkov
  • Daniil Novikov

Abstract

The paper proposes a new stochastic intervention control model conducted in various commodity and stock markets. The essence of the phenomenon of intervention is described in accordance with current economic theory. A review of papers on intervention research has been made. A general construction of the stochastic intervention model was developed as a Markov process with discrete time, controlled at the time it hits the boundary of a given subset of a set of states. Thus, the problem of optimal control of interventions is reduced to a theoretical problem of control by the specified process or the problem of tuning. A general solution of the tuning problem for a model with discrete time is obtained. It is proved that the optimal control in such a problem is deterministic and is determined by the global maximum point of the function of two discrete variables, for which an explicit analytical representation is obtained. It is noted that the solution of the stochastic tuning problem can be used as a basis for solving control problems of various technical systems in which there is a need to maintain some main parameter in a given set of its values.

Suggested Citation

  • Peter Shnurkov & Daniil Novikov, 2018. "Analysis of the problem of intervention control in the economy on the basis of solving the problem of tuning," Papers 1811.10993, arXiv.org.
  • Handle: RePEc:arx:papers:1811.10993
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    References listed on IDEAS

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    1. Kentaka Aruga, 2014. "An intervention analysis on the Tokyo Grain Exchange non-genetically modified and conventional soybean futures markets," Cogent Economics & Finance, Taylor & Francis Journals, vol. 2(1), pages 1-11, December.
    2. Uzun, Vasily (Узун, Василий) & Svetlov, Nikolai (Светлов, Николай) & Shagaida, Natalia (Шагайда, Наталья) & Loginova, Daria (Логинова, Дарья) & Shishkina, Ekaterina (Шишкина, Екатерина), 2017. "Improvement of Mechanisms of State Regulation of the Russian Grain Market
      [Совершенствование Механизмов Государственного Регулирования Российского Рынка Зерна]
      ," Working Papers 051736, Russian Presidential Academy of National Economy and Public Administration.
    3. Floetotto, Max & Kirker, Michael & Stroebel, Johannes, 2016. "Government intervention in the housing market: Who wins, who loses?," Journal of Monetary Economics, Elsevier, vol. 80(C), pages 106-123.
    4. Neha Gupta, 2013. "Government Intervention In Grain Markets In India--Rethinking The Procurement Policy," Working papers 231, Centre for Development Economics, Delhi School of Economics.
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