Li, Defu and Benjamin, Bental
(2021):
*Factor Supply Elasticities, Returns to Scale, and the Direction of Technological Progress.*

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## Abstract

This paper finds that the steady-state direction of technological progress is determined by the relative size of factor supply elasticities and the returns to scale of the production function, which have so far been ignored. However, the relative price (Hicks, 1932) and relative market size (Acemoglu, 2002) emphasized in the existing literature have only short-term effects. This conclusion is obtained by introducing generalized factor accumulation processes that do not restrict factor supply elasticities, and a generalized production function that does not restrict the returns to scale. It emanates solely from the characterizations of production function, steady-state growth, direction of technological progress and factor supply elasticities. The paper also analyzes a particular micro-founded growth model and uses it to exemplify the conclusions. The findings of this paper provide new explanations to the Uzawa (1961) steady-state theorem puzzle as well as to the Kaldor facts characterization of modern economic growth. It also suggests a way to reconcile falling investment good prices with the Kaldor facts. In addition, it may help explain why technological progress did not increase per capita income before the industrial revolution and what might have led to the modern pattern of economic growth.

Item Type: | MPRA Paper |
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Original Title: | Factor Supply Elasticities, Returns to Scale, and the Direction of Technological Progress |

Language: | English |

Keywords: | Economic Growth, Direction of Technological Progress, Returns to Scale, Factor Supply Elasticities, Uzawa’s Steady-State Theorem, Industrial Revolution, Adjustment Cost |

Subjects: | E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models > E13 - Neoclassical E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E25 - Aggregate Factor Income Distribution O - Economic Development, Innovation, Technological Change, and Growth > O3 - Innovation ; Research and Development ; Technological Change ; Intellectual Property Rights > O33 - Technological Change: Choices and Consequences ; Diffusion Processes O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models |

Item ID: | 109920 |

Depositing User: | Defu Li |

Date Deposited: | 27 Sep 2021 00:14 |

Last Modified: | 27 Sep 2021 00:14 |

References: | Acemoglu, Daron, 2001, “Factor Prices and Technical Change: From Induced Innovations to Recent Debates”, SSRN Electronic Journal. Acemoglu, Daron, 2002, “Directed Technical Change”, Review of Economic Studies 69, pp. 781–809. Acemoglu, Daron, 2003, “Labor- and Capital-Augmenting Technical Change”, Journal of European Economic Association, Vol.1 (1), pp. 1-37. Acemoglu, Daron, 2009, Introduction to Modern Economic Growth, Princeton University Press, Princeton, New Jersey. Aghion, Philippe, and Peter Howitt, 1992, “A Model of Growth through Creative Destruction”, Econometrica, 60, pp. 323–351. Aghion, Philippe, and Peter Howitt,1998, Endogenous Growth Theory. Cambridge, Mass.: MIT Press. Ashraf, Quamrul, and Oded Galor. 2011, “Dynamics and Stagnation in the Malthusian Epoch”, American Economic Review. Vol. 101, No. 5, pp. 2003-2041. Barro, Robert J. and Xavier Sala-i-Martin, 2004, Economic Growth. Cambridge, Mass.: MIT Press. Brozen, Yale, 1953, “Determinants of the direction of technological change”. The American Economic Review, 43(2), 288-302. Casey, Gregory and Ryo Horii, 2019, “A Multi-factor Uzawa Growth Theorem and Endogenous Capital-Augmenting Technological Change,” ISER Discussion Paper 1051, Institute of Social and Economic Research, Osaka University. Cass, David, 1965, “Optimum Growth in an Aggregate Model of Capital Accumulation.” Review of Economic Studies 32: 233–240. Chirinko, Robert S., and Debdulal Mallick. 2014, “The Substitution Elasticity, Factor Shares, Long-Run Growth, and the Low-Frequency Panel Model.” CESifo Working Paper 4895. Christiano, L., Eichenbaum, M., and Evans, C. 2005, “Nominal rigidities and the dynamic effects of a shock to monetary policy.” Journal of Political Economy, 113(1), 1-45. Drandakis, E. M., and Edmund S. Phelps, 1966, “A Model of Induced Invention, Growth, and Distribution”, Economic Journal, Vol. 76 (304), pp. 823-840. Eisner, Robert, and Strotz, Robert H. 1963, “Determinants of Business Fixed Investment.” In Commission on Money and Credit, Impacts of Monetary Policy, 59–337. Englewood Cliffs, NJ: Prentice-Hall. Foley, Duncan K., and Sidrauski, Miguel. 1970, “Portfolio Choice, Investment and Growth.” American Economic Review 60 (March): 44–63. Lucas, Robert E., Jr. 1967, “Adjustment Costs and the Theory of Supply.” Journal of Political Economy 75 (August): 321–334. Feenstra, Robert C., Robert Inklaar and Marcel P. Timmer, 2015, “The Next Generation of the Penn World Table”, American Economic Review, 105(10), 3150-3182, available for download at www.ggdc.net/pwt Funk, Peter, 2002, “Induced Innovation Revisited”, Economica, 69, pp.155–171. Galor, Oded, 2011, Unified Growth Theory, Princeton & Oxford, Princeton University Press. Gordon, Robert J. 1990, The Measurement of Durable Goods Prices. Chicago: University of Chicago, Press. Greenwood, Jeremy, Zvi Hercowitz, and Per Krusell. 1997, “Long-Run Implications of Investment-Specific Technological Change.” American Economic Review 87 (3): 342–62. Grossman, Gene M., Elhanan Helpman, 1991, Innovation and Growth in the Global Economy. MIT Press, Cambridge, MA. Grossman, Gene M., Elhanan Helpman, Ezra Oberfield, and Thomas Sampson. 2017, “Balanced Growth despite Uzawa”, American Economic Review, vol. 107(4), pp. 1293-1312. Hicks, John, 1932, The Theory of Wages, London: Macmillan. Irmen, Andreas, 2013, “Adjustment Costs in a Variant of Uzawa's Steady-state Growth Theorem”, Economics Bulletin, Vol. 33 No.4, pp. 2860-2873. Irmen, Andreas, 2018, “A Generalized Steady-state Growth Theorem”, Macroeconomic Dynamics, vol. 22(04), pp. 779-804. Irmen, Andreas and Amer Tabakovic, 2017, “Endogenous Capital- and Labor-Augmenting Technical Change in the Neoclassical Growth Model”, Journal of Economic Theory 170, pp. 346–384. Jones, Charles I., 2005, “The Shape of Production Functions and the Direction of Technical Change”, Quarterly Journal of Economics 2, pp. 517–549. Jones, Charles I., 2016, “The Facts of Economic Growth”,In Handbook of Macroeconomics, Vol. 2, edited by John B. Taylor and Harald Uhlig, 3–69. Amsterdam: Elsevier. Jones, Charles I., and Paul M. Romer. 2010, “The New Kaldor Facts: Ideas, Institutions, Population, and Human Capital.” American Economic Journal: Macroeconomics 2 (1): 224–45. Jones, Charles I., and Dean Scrimgeour, 2008, “A New Proof of Uzawa’s Steady-State Growth Theorem”, Review of Economics and Statistics, Vol. 90(1), pp. 180-182. Kaldor, N., 1961, “Capital Accumulation and Economic Growth”, in The Theory of Capital, ed. by F. A.Lutz, and D. C. Hague, pp. 177–222. Macmillan & Co. LTD., New York: St. Martin’s Press. Karabarbounis, Loukas, and Brent Neiman. 2014, “The Global Decline of the Labor Share.” Quarterly Journal of Economics 129 (1): 61–103. Kennedy, Charles M., 1964, “Induced Bias in Innovation and the Theory of Distribution”, Economic Journal, Vol. 74 (295), pp. 541-547. Knoblach, Michael, Roessler, Martin and Zwerschke, Patrick, 2020, “The Elasticity of Substitution between Capital and Labour in the US Economy: A Meta-Regression Analysis”, Oxford Bulletin of Economics and Statistics, Vol. 82(1), pp. 62-82. Koopmans, Tjalling C., 1965, “On the Concept of Optimal Economic Growth.” In The Econometric Approach to Development Planning, Amsterdam: North-Holland, pp. 225–295. Lawrence, Robert Z., 2015, “Recent Declines in Labor’s Share in US Income: A Preliminary Neoclassical Account.” National Bureau of Economic Research Working Paper 21296. León-Ledesma, M. A., and Satchi, M., 2018, “Appropriate technology and balanced growth”. Review of Economic Studies 0, 1–29. Nordhaus, W., 1973, “Some Skeptical Thoughts on the Theory of Induced Innovation”, Quarterly Journal of Economics, LXXXVII, pp.208-219. Oberfield, Ezra, and Devesh Raval, 2014, “Micro Data and Macro Technology.” National Bureau of Economic Research Working Paper 20452. Rivera-Batiz, L. A. and P. M. Romer, 1991, “Economic Integration and Endogenous Growth”, Quarterly Journal of Economics, 106, pp.531-555. Romer, P. M., 1990, “Endogenous Technological Change”, Journal of Political Economy, 98(5) (October), Part II, S71-S102. Samuelson, Paul A., 1965, “A Theory of Induced Innovation along Kennedy-Weizsäcker Lines”, Review of Economics and Statistics, Vol. 47(4), pp. 343-356. Sato, R.,1996, “A Note on Modelling Endogenous Growth”, Keio Economic Studies, Vol. 33, pp. 93-101. Sato, R., R. V. Ramachandran and C. Lian, 1999, “A Model of Optimal Economic Growth with Endogenous Bias”, Macroeconomic Dynamics, Vol. 3, pp. 293-310. Sato, R. and R. V. Ramachandran, 2000, “Optimal Growth with Endogenous Technical Progress: Hicksian Bias in a Macro Model”, The Japanese Economic Review, Vol. 51, No. 2, pp.193-206. Schlicht, Ekkehart, 2006, “A Variant of Uzawa’s Theorem,” Economics Bulletin 5:6, pp.1–5. Solow, Robert M., 1956, “A Contribution to the Theory of Economic Growth.” Quarterly Journal of Economics 70: 65–94. Swan, Trevor W., 1956, “Economic Growth and Capital Accumulation.” Economic Record, 32, November,334–361. Uzawa, H., 1961, “Neutral Inventions and the Stability of Growth Equilibrium”, Review of Economic Studies, Vol. 28, February, pp. 117-124. von Weizsäcker, C.C., 1962, A new technical progress function. Mimeo. MIT. Published in: Ger. Econ. Rev. 11 (2010), 248–265. |

URI: | https://mpra.ub.uni-muenchen.de/id/eprint/109920 |