Growth Models and their Application to Long-term Planning and Forecasting

  • L. V. Kantorovitch
  • V. L. Makarov
Part of the International Economic Association Conference Volumes, Numbers 1–50 book series (IEA)


A general picture of growth models, their basic types and features, is given in the paper. Possibilities of their implementation at the stage of preliminary long-term planning are discussed, as well as their application to calculations of a highly aggregated long-term plan, i.e. for a period of about ten years. In the last part of the paper a specific class of models based on input-output information is examined. Results of experimental calculations are given, together with discussion of ways and means of utilisation of such models in the practical work of Gosplan.


Growth Model Optimal Trajectory Shadow Price Growth Path Final Consumption 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    R. Allen, Matematicheskaya economia [Mathematical economics] (Moscow, 1963).Google Scholar
  2. [2]
    D. Gale, ‘Zamknutaya lineinaya model proizvodestva’ [The closed linear model of production], in Lineiniye neravenstva i smezhniye voprosi [Linear inequalities and related questions] (Moscow, 1959).Google Scholar
  3. [3]
    M. Morishima, Ravnovesiye, ustoichivost, rost [Equilibrium stability, growth] (Moscow, 1972).Google Scholar
  4. [4]
    V. L. Makarov, ‘Modeli optimalnogo rosta economiky’ [Models of optimal economic growth], in Ekonomika i matematicheskie metodi, no. 4 (1969).Google Scholar
  5. [5]
    L. V. Kantorovitch and L. I. Gorkov, Doklady akademii nauk SSSR (1959).Google Scholar
  6. [6]
    V. L. Makarov and A. M. Rubinov, ‘Superlineiniye tochechno-mnozhestvenniye otobrajeniya: modeli ekonomicheskoi dinamiky’ [Super-linear point-set mappings: models of economic dynamics], in Uspekhi matematicheskih nauk, no. 5 (1970).Google Scholar
  7. [7]
    V. L. Makarov, ‘Suchestvovanie magistrali v modeli s diskontom’ [The existence of a turnpike in a model with interest], in Optimizatsiya, no. 2 (19) (1971).Google Scholar

Copyright information

© International Economic Association 1976

Authors and Affiliations

  • L. V. Kantorovitch
  • V. L. Makarov

There are no affiliations available

Personalised recommendations