Optimal Induced Innovation and Growth with Congestion of a Limited Natural Resource

Tavani, Daniele (2008): Optimal Induced Innovation and Growth with Congestion of a Limited Natural Resource.

Abstract

In a simple Neoclassical Growth Model with endogenous technical change, I expand on the hypothesis of Induced Innovation including a production externality from a xed input, called `land', which represents the carrying capacity of the earth's atmosphere. Land is assumed to be congested by the use of labor and capital in production. A market economy where land is free will fail to reach a steady state, and may end up in either of three possible cases: (i) a catastrophe driven by overaccumulation; (ii) a state in which Induced Innovation stops capital deepening but not environmental decline; (iii) a path of perpetual decumulation of capital resembling an industrial counterrevolution. A planned economy, instead, will assign a shadow-price to land, thus setting in motion the Induced Innovation engine and fostering land-augmenting technological progress which will reduce environmental stress. The unique equilibrium if this economy is found to be locally asymptotically stable in the numerical analysis for substitution elasticities smaller than 1. The corresponding direction of technical change is characterized by constant shares of all inputs, a positive growth rate of labor- and land-augmenting technologies, and by a rate of growth of capital-augmentation equal to zero.

• Item Type: MPRA Paper
• Language: English
• Keywords: Induced Innovation, Climate Change, Technological Change, Functional Distribution of Income
• Subjects: O - Economic Development, Innovation, Technological Change, and Growth > O3 - Innovation ; Research and Development ; Technological Change ; Intellectual Property Rights > O30 - General; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q5 - Environmental Economics > Q55 - Technological Innovation

References

[1] Acemoglu, Daron [2002]. `Directed Technical Change'. Review of Economic Studies, Vol. 69: 781-810.

[2] Acemoglu, Daron [2003]. `Labor and capital-augmenting Technical Change'. Journal of the European Economic Association, Vol. 1: 1-37.

[3] Antras, Pol, [2001]. `Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution'. Mimeo, MIT.

[4] Berndt, Ernst, [1976]. `Reconciling Alternative Estimates of the Elasticity of Substitution' Review of Economics and Statistics 58, No. 1, pp. 59-68.

[5] Barro, R. and Xavier Sala-i-Martin [2005]. Economic Growth, 2nd Edition. Cambridge, MA: The MIT Press.

[6] Brock, William, A. [1970] `On Existence of Weakly Maximal Programmes in a Multi-Sector Economy'. Review of Economic Studies, Vol. 37: 275-280.

[7] David, Paul, and Th. Van de Klundert, [1965]. `Biased E ciency Growth and Capital-Labor Substitution in the U.S., 1899-1960,' American Economic Review, 55, 357-393.

[8] Chirinko, Robert S., [1993]. `Business Fixed Investment: a Critical Survey of Modeling Strategies, Empirical Results and Policy Implications'. Journal of Economic Literature, XXXI, 1875-1911.

[9] Chirinko, Robert S., Steven M. Fezari and Andrew P. Mayer, [1999]. `How Responsive Is Business Capital Formation to Its User Cost?' Journal of Public Economics, 75, 53-80.

[10] Chirinko, Robert S., StevenM. Fezari and Andrew P.Mayer, [2001] `That Elusive Elasticity: A Long-Panel Approach to Estimating the Price Sensitivity of Business Capital'. Federal Reserve Bank of St. Louis, working paper.

[11] Drandakis, E.M, and Edmund Phelps [1965]. `A Model of Induced Invention, Growth and Distribution'. The Economic Journal, Vol. 76, No. 304: 823-840.

[12] Foley, Duncan K. [2003]. `Endogenous Technical Change with Externalities in a Classical Growth Model'. Journal of Economic Behavior and Organization, Vol. 52: 167-189.

[13] Greiner, Alfred, and Willi Semmler [2008]. The Global Environment, Natural Resources, and Economic Growth. Oxford, UK: Oxford University Press.

[14] Gri n, James M. and Paul R. Gregory, [1976] `An Intercountry Translog Model of Energy Substitution Responses', American Economic Review 66, 845-857.

[15] Krusell, Per; Lee Ohanian and Victor Rios-Rull and Giovanni Violante, `Capital Skill Complementary and Inequality', Econometrica, 68 No. 5 (2000), 1029-1053.

[16] Hamermesh, David S. [1993]. Labor Demand. Princeton, NJ: Princeton University Press.

[17] Hicks, John [1932]. The Theory of Wages. London, UK. McMillan.

[18] Intergovernmental Panel on Climate Change [2007]. Climate Change 2007: Synthesis Report. Available for download at http://www.ipcc.ch/ipccreports/index.htm.

[19] Kennedy, Charles [1964] `Induced Bias in Innovation and the Theory of Distribution. Economic Journal, Vol. 74: 541-47.

[20] M. Ali Khan and T. Mitra [2005]. `On choice of technique in the Robinson-Solow-Srinivasan model'. International Journal of Economic Theory, 1: 83-110.

[21] Lucas, Robert E., Jr. [1988] `On the Mechanics of Economic Development'. Journal of Monetary Economics, Vol. 22: 3-42.

[22] Mairesse, Jacques, Bronwyn H. Hall and Benoit Mulkay, [1999]. `Firm-Level Investment in France and the United States: An Exploration over What We Have Returned in Twenty Years' Annales d'Economie et Statistiques 55, 27-67.

[23] Magat, Wesley [1979] `Technological Change with Depletion of Innovation Possibilities: Implications for the Dynamics of Factor Shares'. Economic Journal, 89: 614-623.

[24] McKenzie, Lionel [1976] `Turnpike Theory'. Econometrica, Vol. 44, No. 5: 841-865.

[25] Meadows, D.H, Dennis L. Meadows, Jorgen Randers and William W. Behrens III [1972]. The Limits to Growth

[26] Nadiri, M. I. [1970]. `Some Approaches to Theory and Measurement of Total Factor Productivity: a Survey' Journal of Economic Literature, VIII 8, pp. 1117-77.

[27] Nerlove, Mark, [1967] `Recent Empirical Studies of the CES and Related Production Functions' in M. Brown (editor) The Theory and Empirical Analysis of Production, New York

[28] Nordhaus, William [1967]. `The Optimal Rate and Direction of Technical Change', in Shell, Karl, ed. Essays on the Theory of Optimal Economic Growth. Cambridge, MA: The M.I.T. Press.

[29] Nordhaus, William [1973] `Some Skeptical Thoughts on the Theory of Induced Innovation'. Quarterly Journal of Economics, Vol. 87, No. 2: 208-219.

[30] Nordhaus, William [2007] The Challenge of Global Warming: Economic Models and Environmental Policy, mimeo: Yale University.

[31] Ramsey, F. P. `A Mathematical Theory of Savings', Economic Journal, Vol. 38 (1928), 543-559.

[32] Samuelson, Paul [1965]: `A Theory of Induced Invention along Kennedy-Weizsacker Lines'. Review of Economics and Statistics, Vol. 47 n. 4: 343-356.

[33] Sethi, Suresh P., and Gerald L. Thompson [2000]. Optimal Control Theory. New York, NY. Springer.

[34] Tavani, Daniele [2008]: `The Role of Technology in Factor-Discipline and the Bias of Technical Change: a Microeconomic Analysis', mimeo: The New School for Social Research.

[35] Skott, Peter [1981]. `Technological advance with depletion of innovation possibilities: A comment and some extensions'. Economic Journal, 91: 977-87.

[36] Uzawa, Hirofumi [1965] `Optimum Technical Change in an Aggregative Model of Economic Growth'. International Economic Review, Vol. 6: 18-31.

[37] Weitzman, Martin [2008]: `On Modeling and Interpreting the Economics of Catastrophic Climate Change', mimeo: Harvard University.

[38] Zamparelli, Luca [2007]: `Direction and Intensity of Technical Change: a Micro Model',mimeo: The New School for Social Research.