Productivity Development in Selected Central European Countries Measured by the Sato Production Function

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In this paper, we investigate the relationship between economic output, labour and capital in the Visegrád Four, Austria and Germany. The main objective is to determine the type of technological progress in these countries over time, specifically in the period 1995-2015. The Sato production functions (a special case of the linearly homogeneous production function) for all the aforementioned countries are estimated using linear and nonlinear techniques. In addition to the original Sato production function, we propose modifying it in using a time variable, which allows us to analyse the development of productivity over time. Based on the NLS estimates of this modification, we create isoquant maps and calculate the value of the marginal rate of technical substitution of labour for capital to identify the nature of technological progress typical for each country. We also compare the properties of both the OLS and NLS estimates. The results are quite specific to individual countries, but there is some room for generalization.

Besanko, D., Braeutigam, R. (2007). Microeconomics. 3rd Ed. Wiley.

Biea, N. (2016). Economic Growth In Slovakia: Past Successes And Future Challenges. Luxembourg: Publications Office Of The European Union. [Online]. Available At: Https://Ec.Europa.Eu/Info/Sites/Info/Files/File_Import/Eb008_En_2.Pdf. [Accessed: 20 March 2017].

Blanchard, O. J. (1997). The Medium Run. Brookings Papers On Economic Activity. 89-158.

Blaug, M. (1985). Economic Theory In Retrospect. 5th Ed. Cambridge: Cambridge University Press.

Eeag. (2012). The Eeag Report On The European Economy. The Hungarian Crisis. Cesifo, Munich. 115-130. [Online]. Available At: Https://Www.Cesifogroup.De/Portal/Pls/Portal/Docs/1/1213659.Pdf. [Accessed: 20 March 2017].

European Union Agency For Fundamental Rights (Fra). (2014) Education: The Situation Of Roma In 11 Eu Member States. Luxembourg: Publications Office Of The European Union.

European Commission. (2016). Eu's Top Trading Partners In 2015: The United-States For Exports, China For Imports. Eurostat Press Office. 1-6. [Online]. Available At: Http://Ec.Europa.Eu/Eurostat/Documents/2995521/7224419/6-31032016-Bpen.Pdf/B82ea736-1c73-487f-8fb5-4954774bb63a. [Accessed: 11 August 2018].

Greene, W. H. (2012). Econometric Analysis. 7th Ed. Boston [U. A.]: Pearson, 1238 S.

Heczková, M. (2014). Fakta O Obchodě Se Zahraničím. Statistika & My, 9: 19-20.

Henningsen, A., Henningsen, G. (2012). On The Estimation Of The Ces Production Function. Economic Letters, 115(1): 67-69. Doi: 10.1016/J.Econlet.2011.12.007

Hicks, J. R. (1932). The Theory Of Wages. London. Macmillan.

Humphrey, T. M. (1997). Algebraic Production Functions And Their Uses Before Cobb Douglas, Federal Reserve Bank Of Richmond Economic Quarterly, 83(1): 51-83.

Kmenta, J. (1967). On Estimation Of The Ces Production Function. International Economic Review, 8(2): 180-189. Doi: 10.2307/2525600

Kureková, L. M. (2015). Policy Puzzles With Roma Employment In Slovakia. Celsi Discussion Paper [Online]. Available At: Https://Celsi.Sk/Media/Discussion_Papers/Celsi_Dp_34_.Pdf5 [Accessed: 2 December 2017].

Kahanec, M., Sedláková, M. (2016). The Social And Employment Situation In Slovakia And Outlook On The Slovak Eu Presidency 2016 [Online]. Available At: Http://Www.Europarl.Europa.Eu/Regdata/Etudes/Stud/2016/578982/Ipol_Stu(2016)578982_En.Pdf [Accessed: 2 December 2017].

Levenberg, K. (1944). A Method For The Solution Of Certain Non-Linear Problems In Least Squares. Quarterly Of Applied Mathematics, 2: 164-168. Doi: 10.1090/Qam/10666

Makin, J. A., Strong, S. (2013). New Measures Of Factor Productivity In Australia: A Sato Approach. Applied Economics Australia, 45(17): 2413-2422. Doi: 10.1080/00036846.2012.665603

Marquardt, D. (1963). An Algorithm For Least-Squares Estimation Of Nonlinear Parameter. Journal Of The Society For Industrial And Applied Mathematics, 11(2): 431-441. Doi: 10.1137/0111030

Oecd. (2007). Oecd Economic Surveys: Austria 2007, Oecd Publishing, Paris. [Online]. Available At: Http://Dx.Doi.Org/10.1787/Eco_Surveys-Aut-2007-En. [Accessed: 20 October 2017].

Oecd. (2012a). Oecd Economic Surveys: Germany 2012, Oecd Publishing, Paris. [Online]. Available At: Http://Dx.Doi.Org/10.1787/Eco_Surveys-Deu-2012-En. [Accessed: 20 March 2018].

Oecd. (2012b). Oecd Economic Surveys: Slovakia 2012, Oecd Publishing, Paris. [Online]. Available At: Http://Dx.Doi.Org/10.1787/Eco_Surveys-Svk-2012-En. [Accessed: 15 March 2018].

Sato, R. (1964). Diminishing Returns And Linear Homogeneity: Comment. The American Economic Review, 54: 744-745. Doi. 10.2307/1911344

Sato, R. (1975). The Most General Class Of Ces Functions. Econometrica, 43: 999-1003.

Speckesser, S. (2013). The Immigrant Workforce In Germany: Formal And Informal Barriers To Addressing Skills Deficits. [Online]. Available At: Https://Www.Migrationpolicy.Org/Sites/Default/Files/Publications/Skills-Speckesserfinal.Pdf [Accessed: 2 December 2017].

Theil, H. (1966). Applied Economic Forecasting, Amsterdam: North-Holland.

Witajewskij-Baltvilks, J. (2016). Catching Up In Czech Republic, Hungary And Poland. Bank I Kredyt, 47: 319-340.

Review of Economic Perspectives

Národohospodárský obzor; The Journal of Masaryk University

Journal Information

CiteScore 2017: 0.42

SCImago Journal Rank (SJR) 2017: 0.153
Source Normalized Impact per Paper (SNIP) 2017: 0.351


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