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Study of the Continuous-Time Open Dynamic Leontief Model as a Linear Dynamical Control System

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Abstract

We study the topological properties of the technology set (the set of all technologically admissible net production output vectors) in the continuous-time dynamic Leontief model in which the control is a function of unproductive consumption. Necessary conditions for the technology set to be closed are obtained.

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References

  1. Leontief, W., Die Bilanz der russischen Volkswirtschaft. Eine methodologische Untersuchung, Weltwirtschaft. Archiv., 1925, vol. 22, no. 2 (Oktober), pp. 338–344.

    Google Scholar 

  2. Leontief, W., Structure of the World Economy. Lecture to the Memory of Alfred Nobel. December, 11, 1973.

    Google Scholar 

  3. Shatilov, N.F., Modelirovanie rasshirennogo vosproizvodstva (Modeling of Extended Reproduction), Moscow: Ekonomika, 1967.

    Google Scholar 

  4. Veduta, N.I., Ekonomicheskaya kibernetika (Economical Cybernetics), Minsk: Nauka i Tekhnika, 1971.

    Google Scholar 

  5. Belykh, A.A., Istoriya rossiiskikh ekonomiko-matematicheskikh issledovanii. Pervye sto let (History of Russian Economical-Mathematical Research. The First Hundred Years), Moscow: URSS, 2007.

    Google Scholar 

  6. Arutyunov, A.V. and Pavlova, A.V., Topological properties of attainability sets of linear systems, Differ. Equations, 2004, vol. 40, no. 2, pp. 1645–1648.

    Article  MathSciNet  MATH  Google Scholar 

  7. Arutyunov, A.V., Second-order conditions in extremal problems. The abnormal points, Trans. Amer. Math. Soc., 1998, vol. 350, no. 11, pp. 4341–4365.

    Article  MathSciNet  MATH  Google Scholar 

  8. Hawkins, D. and Simon, H.A., Some conditions of macroeconomic stability, Econometrica, 1949, vol. 17 (3/4), pp. 245–248.

    Google Scholar 

  9. Arutyunov, A.V., Pavlova, N.G., and Shananin, A.A., New conditions for the existence of equilibrium prices, Yugosl. J. Oper. Res., 2018, vol. 28, no. 1, pp. 59–77.

    Article  MathSciNet  Google Scholar 

  10. Arutyunov, A.V., Zhukovskiy, S.E., and Pavlova, N.G., Equilibrium price as a coincidence point of two mappings, Comput. Math. Math. Phys., 2013, vol. 53, no. 2, pp. 158–169.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, Moscow, 117997, Russia

    N. G. Pavlova

  2. Peoples’ Friendship University of Russia, Moscow, 117198, Russia

    N. G. Pavlova

Authors
  1. N. G. Pavlova
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Correspondence to N. G. Pavlova.

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Russian Text © N.G. Pavlova, 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 1, pp. 111–116.

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Pavlova, N.G. Study of the Continuous-Time Open Dynamic Leontief Model as a Linear Dynamical Control System. Diff Equat 55, 113–119 (2019). https://doi.org/10.1134/S0012266119010117

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  • DOI: https://doi.org/10.1134/S0012266119010117

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