Uzawa(1961)’s Steady-State Theorem in Malthusian Model

Li, Defu and Huang, Jiuli (2014): Uzawa(1961)’s Steady-State Theorem in Malthusian Model.

Abstract

This paper proves that there is a similar Uzawa (1961) steady-state growth theorem in a Malthusian model: If that model possesses steady-state growth, then technical change must be purely land-augmenting and cannot include labor augmentation.

• Item Type: MPRA Paper
• Language: English
• Keywords: Malthusian Model, Neoclassical Growth Model, Uzawa’s Steady-State Theorem
• Subjects: 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

References

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.

Barro, Robert and Xavier Sala-i-Martin, 2004, Economic Growth. MIT Press, Cambridge, MA.

Drandakis, E. M., and Edmund S. Phelps, 1966, “A Model of Induced Invention, Growth, and Distribution,” Economic Journal, Vol. 76 (304), pp. 823-840.

Fellner, William, 1961, “Two Propositions in the Theory of Induced Innovations,” Economic Journal, Vol. 71(282), pp. 305-308.

Irmen, Andreas, 2004, “Malthus and Solow − a note on closed−form solutions.” Economics Bulletin, Vol.10, No. 6pp. 1−6.

Jones, Charles I., 2005, “The Shape of Production Functions and the Direction of Technical Change.” Quarterly Journal of Economics 2: 517–549.

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.

Kennedy, Charles M., 1964, “Induced Bias in Innovation and the Theory of Distribution,” Economic Journal, Vol. 74 (295), pp. 541-547.

Kremer, Michael,1993, “Population Growth and Technological Change: One Million b.c. to 1990.”Quarterly Journal of Economics 108: 681–716.

Lucas, Robert E., 2002, “The Industrial Revolution: Past and Future.” In Lectures in Economic Growth. Cambridge, Mass.: Harvard University Press.

Malthus, Thomas R. ,1798, An Essay on the Principle of Population. London: W. Pickering.

Ricardo, David ,1817, On the Principles of Political Economy and Taxation. Cambridge: Cambridge University Press, 1951.

Samuelson, Paul A., 1965, “A Theory of Induced Innovation along Kennedy-Weisäcker Lines,” Review of Economics and Statistics, Vol. 47(4), pp. 343-356.

Schlicht, Ekkehart, 2006, “A Variant of Uzawa’s Theorem,” Economics Bulletin, Vol. 5 (6), pp. 1-5.

Solow, Robert M.,1956, “A Contribution to the Theory of Economic Growth,” Quarterly Journal of Economics, Vol. 70, February, pp. 65-94.

Uzawa, Hirofumi, 1961, “Neutral Inventions and the Stability of Growth Equilibrium,” Review of Economic Studies, Vol. 28, February, pp. 117-124.