Skip to main content
SpringerLink
Log in

Optimal normalized structure of demand and value added in a productive leontief model1

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

The problem of finding normalized vectors of demand and value added in a productive Leontief model is solved. These vectors maximize the national income. It is shown that if the Leontief matrix is productive and indecomposable, then an optimal normalized structure is determined by positive components of the eigenvectors that correspond to maximum eigenvalues of some symmetric matrices. The results of test calculations for a seven-branch matrix are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. V. Leontief, Selected Works, Vols. 1–3 [in Russian], Ekonomika, Moscow (1966).

    Google Scholar 

  2. M. V. Mikhalevich and I. V. Sergienko, Modeling a Transition Economy. Models, Methods, Information Technologies [in Russian], Naukova Dumka, Kyiv (2005).

    Google Scholar 

  3. I. V. Sergienko, M. V. Mikhalevich, P. I. Stetsyuk, and L. B. Koshlai, “Models and information technologies for decision support during structural and technological changes,” Cybern. Syst. Analysis, 45, No. 2, 187–203 (2009).

    Article  MATH  MathSciNet  Google Scholar 

  4. H. Bortis, Institutions, Behaviour and Economic Theory. A Contribution to Classical-Keynesian Political Economy, Cambridge University Press, Cambridge (1997).

    Google Scholar 

  5. H. Bortis, “Keynes and the classics: Notes on the monetary theory of production,” in: L.-P. Rochon and S. Rossi (eds), Modern Theories of Money. The Nature and Role of Money in Capitalist Economies, Edward Elgar: UK, USA (2003), pp. 411–474.

  6. S. A. Ashmanov, An Introduction to Mathematical Economics [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  7. P. I. Stetsyuk, L. B. Koshlai, and A. V. Pilipovskii, “On the problem of optimal relation between demand and value added in Leontief models,” Teoriya Optym. Rishen’, No. 9, 136–143 (2010).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    P. I. Stetsyuk & L. B. Koshlai

Authors
  1. P. I. Stetsyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. B. Koshlai
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. I. Stetsyuk.

Additional information

1The study was financially supported by SNSF (Switzerland), Project No. IZ73ZO_127962 “Analysis of Institutional and Technological Changes in Market and Transition Economies on the Background of the Present Financial Crisis.

Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 51–59, September–October 2010.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stetsyuk, P.I., Koshlai, L.B. Optimal normalized structure of demand and value added in a productive leontief model1 . Cybern Syst Anal 46, 729–736 (2010). https://doi.org/10.1007/s10559-010-9254-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-010-9254-6

Keywords

Search

Navigation