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New models of equilibrium prices in the theory of intersectoral balance

Kulyk М.M., Academician of the National Academy of Sciences of Ukraine, Dr. Sci. (Eng.), Professor
Institute of General Energy of the National Academy of Sciences of Ukraine, 172 Antonovycha str., Kyiv, 03150, Ukraine
Language: Russian, English
Source: The Problems of General Energy, 2018, 1(52):12-23
Section: Mathematical modeling of energy facilities and systems
UDC: 622.324
Received: 02.03.2018
Published: 30.03.2018


We have performed a detailed investigation of the properties of the model that is used in numerous present-day publications on the theory of intersectoral balance and is called the model of equilibrium prices. We have proved that the procedure of obtaining the model of equilibrium prices presented in [2] is groundless, and the model itself does not correspond to input balance in the system of matrix forms «input-output» and, hence, is not a model of equilibrium prices in the system of models of intersectoral balance.
We have obtained four new models that represent systems of equations of the interrelations between equilibrium prices and output volumes in output units. Two of them are constructed on the basis of input balance in the structure of tables «input-output», and two other on output balance. All these models are underdetermined, and, therefore, in calculations of equilibrium prices and outputs, it is necessary to assign additional information, which is absent in the tables «input-output», as is made in [2], [3], and numerous other publications on this range of problems.

Keywords: equilibrium prices, output, intersectoral balance, matrix, vector, added value, final consumption.


  1. Kulyk, M.M. (2016). Revision of the possibilities of the models of equilibrium prices and outputs in the theory of intersectoral balance. Problemy Zahal’noi Enerhetyky - The Problems of General Energy. 4(47). 27—39 [in Russian, English].
  2. Kuboniva, М. et al. (1991). Mathematical Economics on a Personal Computer. Moscow: Finansy i Statistika [in Russian].
  3. Carter, A. (1974). Structural Changes in the American Economy. Moscow: Statistika [in Russian]


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