On the optimal control problem for two regions’ macroeconomic model

• Autorzy: Surkov P. G.

Identyfikatory

DOI

10.1515/acsc-2015-0027

• Języki publikacji: EN

Abstrakty

EN

In this paper we consider a model of joint economic growth of two regions. This model bases on the classical Kobb-Douglas function and is described by a nonlinear system of differential equations. The interaction between regions is carried out by changing the balance of trade. The optimal control problem for this system is posed and the Pontryagin maximum principle is used for analysis the problem. The maximized functional represents the global welfare of regions. The numeric solution of the optimal control problem for particular regions is found. The used parameters was obtained from the basic scenario of the MERGE

Słowa kluczowe

EN

integrated assessment model for evaluating greenhouse gases reduction policies; optimal control; Pontryagin’s maximum principle

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2015
• Tom: Vol. 25, no. 4
• Strony: 417--427
• Opis fizyczny: Bibliogr. 17 poz., wykr., wzory

Twórcy

autor

Surkov P. G.

• School of Economics and Management, Ural Federal University, ul. Mira 19, Ekaterinburg, Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Ekaterinburg, Russia

Bibliografia

• [1] J. C. Butcher: Numerical Methods for Ordinary Differential Equations. John Wiley & Sons, New York, 2008.
• [2] B. V. Digas and V. L. Rozenberg: Application of an optimization model to studying some aspects of Russia’s economic development. Int. J. Environmental Policy and Decision Making, 1(1), (2010), 51-63.
• [3] D. Y. Gao: Duality Principles in Nonconvex Systems. Theory, Methods and Applications. Springer series on Nonconvex optimization and its application, 39, 2000.
• [4] D. H. Romer: Advanced Macroeconomics. Fourth ed. McGraw-Hill, New York, 2011.
• [5] A. Manne, R. Mendelson and R. Richels: MERGE - a model for evaluating regional and global effects of GHG reduction policies. Energy Policy, 23(1), (1995), 17-34.
• [6] A. Manne: Energy, the environment and the economy: hedging our bets. Global Climate Change, ed. by J. M. Griffin. Edward Elgar, Northampton(MA), 2000.
• [7] V. Maksimov, L. Schrattenholzer and Y. Minullin: Computer analysis of the sensitivity of the integrated assessment model MERGE-5I. Lecture Notes in Computer Science, 3911, (2006), 583-590.
• [8] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze and E. F. Mishchenko: The Mathematical Theory of Optimal Processes. John Wiley & Sons, New York. 1962.
• [9] A. Ralston and P. Rabinowitz: A First Course in Numerical Analysis. 2nd ed. Dover, New York. 2001.
• [10] T. Rutherford: Sequential Joint Maximization. Energy and Environmental Policy Modeling. ed. by J.P. Weyant. Kluwer Academic Publishers, Norwell(MA). 1999, 139-175.
• [11] R. G. Strongin and Y. D. Sergeyev: Global Optimization with Non-Convex Constraints. Springer series on Nonconvex optimization and its application, 45, (2000).
• [12] P. G. Surkov: On an optimal control problem for a nonlinear economic model. Applied Mathematical Sciences, 8(171), (2014), 8517-8527.
• [13] W. Welfe: Macroeconometric Models. Springer-Verlag, Berlin Heidelberg, 2013.
• [14] Federal state statistics service. URL: http://www.gks.ru/.
• [15] International Monetary Fund. URL: http://www.imf.org/.
• [16] The state statistics service of Ukraine. URL: http://www.ukrstat.gov.ua/.
• [17] World Bank. URL: http://data.worldbank.org.

Uwagi

EN

This work was supported by the Russian Scientific Foundation (grant no.14-11-00539)