About production functions that take into account simultaneously Hicks-, Harrod- and Solow-neutral technological progress

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription or Fee Access

Abstract

In this article, the H.Uzawa problem about analytical form of dynamic aggregated production functions that take into account simultaneously Hicks, Harrod and Solow neutral technological progress is considered. All classes of aggregated dynamic production functions that take into account simultaneously Hicks, Harrod and Solow neutral technological progress are described.

Full Text

Restricted Access

About the authors

Andrei F. Pranevich

Yanka Kupala State University of Grodno

Author for correspondence.
Email: emm@cemi.rssi.ru
ORCID iD: 0000-0002-8714-0203

Vice-Rector for Research

Belarus, Ozechko 22, Grodno, 230023

References

  1. Hicks J.R. <em>The theory of wages</em>. London: Macmillan, 1932. – 247 p.
  2. Robinson J. <em>Essays in the theory of employment</em>. – London: Macmillan, 1937. – 201 p.
  3. Robinson J. The classification of inventions // <em>The Review of Economic Studies. – </em>1938. – Vol. 5(2). – P. 139 – 142.
  4. Uzawa H. Neutral inventions and the stability of growth equilibrium // <em>The Review of Economic Studies</em>. – 1961. – Vol. 28 (2). – P. 117 – 124.
  5. Sato R., Beckmann M.J. Neutral inventions and production functions // <em>The Review of Economic Studies</em>. – 1968. – Vol. 35(1). – P. 57 – 67.
  6. Stiglitz J.E., Uzawa H. <em>Readings in the modern theory of economic growth</em>. – Cambridge (Massachusetts): MIT Press, 1969. – 497 p.
  7. <em>Моделирование народно-хозяйственных процессов / </em>под ред. В.С. Дадаяна. – М.: Экономика, 1973. – 479 с.
  8. Курзенев В., Матвеенко В. <em>Экономический рост</em>. – СПб.: Питер, 2018. – 608 с.
  9. Проневич А.Ф. Продуктоувеличивающий научно-технический прогресс и нейтральность по Хиксу // <em>Вестник ЦЭМИ РАН</em>. – 2020. – № 3. – С. 4 – 27.
  10. Harrod R.F. Review of Joan Robinson's "Essays in the theory of employment" // <em>Economic Journal</em>. – 1937. – Vol. 47(June). – P. 326 – 330.
  11. Harrod R.F. <em>Towards a dynamic economics</em>. – London: Macmillan, 1948. – 169 p.
  12. Solow R.M. Investment and technical progress // <em>Mathematical methods in the social sciences</em>: proceedings of the first Stanford Symposium, Stanford, Stanford University, 1959; eds. K.J. Arrow, S. Karlin, P. Suppes. Stanford: Stanford University Press, 1960. – P. 89 – 104.
  13. Solow R.M. Technical progress, capital formation, and economic growth // <em>The American Economic Review</em>. – 1962. – Vol. 52(2). – P. 76 – 86.
  14. Хацкевич Г.А., Проневич А.Ф. Классификация Сато – Беккмана учета научно-технического прогресса: генезис, обобщение и дополнение // <em>Журнал Белорусского государственного университета. Экономика.</em> – 2020. – № 2. – С. 4 – 17.
  15. Beckmann M.J. Invariant relationships for homothetic production functions // Production theory: proceedings of an International seminar held at the university of Karlsruhe, May-July 1973 / Lecture notes in Economics and mathematical systems: mathematical economics; Ed. M.J.Beckmann and H.P.Kunzi. Berlin: Springer-Verlag, 1974. – Vol. 99. – P. 3 – 20.
  16. Morimoto Y. Neutral technical progress and the separability of the production function // <em>The Economic Studies Quarterly</em>. – 1974. – Vol. 25, No. 3. – P. 66 – 69.
  17. Проневич А.Ф., Хацкевич Г.А. Научно-технический прогресс и нейтральность по Хиксу, Харроду и Солоу: генезис, построение и обобщение // <em>Белорусский экономический журнал</em>. – 2020. – № 3. – С. 87 – 105.
  18. Клейнер Г.Б. <em>Производственные функции: теория, методы, применение.</em> – М.: Финансы и статистика, 1986. – 239 с.
  19. Pexider H.W. Hotiz über functional theorem // <em>Monatshefte für Mathematik und Physik.</em> – 1903. – Vol. 14(1). – S. 293 – 301.
  20. Castillo E., Cobo A., Gutiérrez J.M., Pruneda R.E. <em>Functional networks with applications</em>. – New York: Springer, 1999. – 309 p.
  21. Камке Э. <em>Справочник по дифференциальным уравнениям в частных производных первого порядка</em>. – М.: Наука, 1966. – 260 с.
  22. Зайцев В.Ф., Полянин А.Д. <em>Справочник по дифференциальным уравнениям с частными производными первого порядка</em>. – М.: ФИЗМАТЛИТ, 2003. – 416 с.

Supplementary files

Supplementary Files
Action
1. JATS XML
Download

Copyright (c) 2023 Ekonomika i matematicheskie metody