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

 
PIIS042473880021360-5-1
DOI10.31857/S042473880021360-5
Publication type Article
Status Published
Authors
Occupation: Vice-Rector for Research
Affiliation: Yanka Kupala State University of Grodno
Address: Grodno, Ozechko 22, Grodno, Belarus, 230023
Journal nameEkonomika i matematicheskie metody
EditionVolume 59 No. 1
Pages16-21
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.

Keywordstechnological progress, production function, Hicks neutrality, Harrod neutrality, Solow neutrality
Received15.03.2023
Publication date29.03.2023
Number of characters11787
Cite  
100 rub.
When subscribing to an article or issue, the user can download PDF, evaluate the publication or contact the author. Need to register.

Number of purchasers: 0, views: 184

Readers community rating: votes 0

1. Hicks J.R. The theory of wages. – London: Macmillan, 1932. – 247 p.

2. Robinson J. Essays in the theory of employment. – London: Macmillan, 1937. – 201 p.

3. Robinson J. The classification of inventions // The Review of Economic Studies. – 1938. – Vol. 5(2). – P. 139 – 142.

4. Uzawa H. Neutral inventions and the stability of growth equilibrium // The Review of Economic Studies. – 1961. – Vol. 28 (2). – P. 117 – 124.

5. Sato R., Beckmann M.J. Neutral inventions and production functions // The Review of Economic Studies. – 1968. – Vol. 35(1). – P. 57 – 67.

6. Stiglitz J.E., Uzawa H. Readings in the modern theory of economic growth. – Cambridge (Massachusetts): MIT Press, 1969. – 497 p.

7. Modeling of national economic processes / Еd. V.S. Dadajan. – Moscow: Ekonomika, 1973. – 479 p. (In Russ.)

8. Kurzenev V., Matveenko V. Economic growth. – Saint-Petersburg: Piter, 2018. – 608 p. (In Russ.)

9. Pranevich A.F. Product-augmenting technological progress and neutrality by Hicks // Vestnik CEMI. – 2020. – No. 3. – P. 4 – 27. (In Russ.)

10. Harrod R.F. Review of Joan Robinson's "Essays in the theory of employment" // Economic Journal. – 1937. – Vol. 47(June). – P. 326 – 330.

11. Harrod R.F. Towards a dynamic economics. – London: Macmillan, 1948. – 169 p.

12. Solow R.M. Investment and technical progress // Mathematical methods in the social sciences: 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 // The American Economic Review. – 1962. – Vol. 52(2). – P. 76 – 86.

14. Khatskevich G.A., Pranevich A.F. Sato – Beckmann classification of accounting for technological progress: genesis, generalisation, and extension // Journal of the Belarusian State University. Economics. – 2020. – No. 2. – P. 4 – 17. (In Russ.)

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 // The Economic Studies Quarterly. – 1974. – Vol. 25, No. 3. – P. 66 – 69.

17. Pranevich A.F., Khatskevich G.A. Technological progress and neutrality by Hicks, Harrod, and Solow: genesis, construction, and generalizations // Belarusian Economic Journal. – 2020. – No. 3. – P. 87 – 105. (In Russ.)

18. Kleyner G.B. Production functions: theory, methods, application. – Moscow: Finansy i statistika, 1986. – 239 p. (In Russ.)

19. Pexider H.W. Hotiz über functional theorem // Monatshefte für Mathematik und Physik. – 1903. – Vol. 14(1). – S. 293 – 301.

20. Castillo E., Cobo A., Gutiérrez J.M., Pruneda R.E. Functional networks with applications. – New York: Springer, 1999. – 309 p.

21. Kamke E. Handbook of first-order partial differential equations. – Moscow: Nauka, 1966. – 260 p. (In Russ.)

22. Zaitsev V.F., Polyanin A.D. Handbook of first-order partial differential equations. – Moscow: FIZMATLIT, 2003. – 416 p. (In Russ.)

Система Orphus

Loading...
Up