Optimal Induced Innovation and Growth with Congestion of a Limited Natural Resource
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.
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- Hall, Bronwyn H. & Mairesse, Jacques & Mulkay, Benoit, 1998.
"Firm Level Investment in France and the United States: An Exploration of What We Have Learned in Twenty Years,"
Department of Economics, Working Paper Series
qt5tp4r5nm, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Jacques Mairesse & Bronwyn H. Hall & Benoît Mulkay, 1999. "Firm-Level Investment in France and the United States: An Exploration of What We Have Learned in Twenty Years," Annals of Economics and Statistics, GENES, issue 55-56, pages 27-67.
- Bronwyn H. Hall & Jacques Mairesse & Benoit Mulkay & Jacques Mairesse, 1999. "Firm Level Investment in France and the United States: An Exploration of What We Have Learned in Twenty Years," Econometrics 9902001, EconWPA.
- Bronwyn Hall & Jacques Mairesse, 1998. "Firm-Level Investment in France and the United States: An exploration of what we have learned in twenty years," Economics Series Working Papers 1998-W09, University of Oxford, Department of Economics.
- Bronwyn H. Hall & Jacques Mairesse & Benoit Mulkay, 1998. "Firm-level investment in France an the United States: an exploration of what we have learned in twenty years," IFS Working Papers W98/10, Institute for Fiscal Studies.
- Bronwyn H. Hall, Jacques Mairesse and Benoit Mulkay., 1998. "Firm Level Investment in France and the United States: An Exploration of What We Have Learned in Twenty Years," Economics Working Papers 98-261, University of California at Berkeley.
- Jacques Mairesse & Bronwyn H. Hall & Benoit Mulkay, 1999. "Firm-Level Investment in France and the United States: An Exploration of What We Have Learned in Twenty Years," NBER Working Papers 7437, National Bureau of Economic Research, Inc.
- Hall, B. & Mairesse, J. & Mulkay, B., 1998. "Firm-Level Investment in France and the United States: An Exploration of What We Have Learned in Twenty Years," Economics Papers 143, Economics Group, Nuffield College, University of Oxford.
- Antràs Pol, 2004.
"Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution,"
The B.E. Journal of Macroeconomics,
De Gruyter, vol. 4(1), pages 1-36, April.
- Antras, Pol, 2004. "Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution," Scholarly Articles 3196325, Harvard University Department of Economics.
- Daron Acemoglu, 2000.
"Labor- and Capital- Augmenting Technical Change,"
NBER Working Papers
7544, National Bureau of Economic Research, Inc.
- Chirinko, Robert S. & Fazzari, Steven M. & Meyer, Andrew P., 1999. "How responsive is business capital formation to its user cost?: An exploration with micro data," Journal of Public Economics, Elsevier, vol. 74(1), pages 53-80, October.
- L. W. McKenzie, 2010.
Levine's Working Paper Archive
1389, David K. Levine.
- Skott, Peter, 1981. "Technological Advance with Depletion of Innovation Possibilities: A Comment and Some Extensions," Economic Journal, Royal Economic Society, vol. 91(364), pages 977-87, December.
- Daron Acemoglu, 2002.
"Directed Technical Change,"
Review of Economic Studies,
Oxford University Press, vol. 69(4), pages 781-809.
- Marc Nerlove, 1967. "Recent Empirical Studies of the CES and Related Production Functions," NBER Chapters, in: The Theory and Empirical Analysis of Production, pages 55-136 National Bureau of Economic Research, Inc.
- Emmanuel M. Drandakis & Edmond S. Phelps, 1965. "A Model of Induced Invention, Growth and Distribution," Cowles Foundation Discussion Papers 186, Cowles Foundation for Research in Economics, Yale University.
- W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," Review of Economic Studies, Oxford University Press, vol. 37(2), pages 275-280.
- Per Krusell & Lee E. Ohanian & JosÈ-Victor RÌos-Rull & Giovanni L. Violante, 2000.
"Capital-Skill Complementarity and Inequality: A Macroeconomic Analysis,"
Econometric Society, vol. 68(5), pages 1029-1054, September.
- Per Krusell & Lee E. Ohanian & Jose-Victor Rios-Rull & Giovanni L. Violante, 1997. "Capital-skill complementarity and inequality: a macroeconomic analysis," Staff Report 239, Federal Reserve Bank of Minneapolis.
- William D. Nordhaus, 1973. "Some Skeptical Thoughts on the Theory of Induced Innovation," The Quarterly Journal of Economics, Oxford University Press, vol. 87(2), pages 208-219.
- Robert Chirinko & Steven M. Fazzari & Andrew P. Meyer, 2002.
"That Elusive Elasticity: A Long-panel Approach to Estimating the Price Sensitivity of Business Capital,"
0202, Department of Economics, Emory University (Atlanta).
- Robert S. Chirinko & Steven M. Fazzari & Andrew P. Meyer, 2002. "That Elusive Elasticity: A Long-Panel Approach To Estimating The Price Sensitivity Of Business Capital," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 B3-1, International Conferences on Panel Data.
- Khan, M. Ali & Mitra, Tapan, 2004.
"On Choice of Technique in the Robinson-Solow-Srinivasan Model,"
04-13, Cornell University, Center for Analytic Economics.
- M. Ali Khan & Tapan Mitra, 2005. "On choice of technique in the Robinson-Solow-Srinivasan model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(2), pages 83-110.
- Ali Khan, M., 2003. "On choice of technique in the Robinson-Solow-Srinivasan model," Economics Working Papers (Ensaios Economicos da EPGE) 504, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Nadiri, M Ishaq, 1970. "Some Approaches to the Theory and Measurement of Total Factor Productivity: A Survey," Journal of Economic Literature, American Economic Association, vol. 8(4), pages 1137-77, December.
- Berndt, Ernst R, 1976. "Reconciling Alternative Estimates of the Elasticity of Substitution," The Review of Economics and Statistics, MIT Press, vol. 58(1), pages 59-68, February.
- Foley, Duncan K., 2003. "Endogenous technical change with externalities in a classical growth model," Journal of Economic Behavior & Organization, Elsevier, vol. 52(2), pages 167-189, October.
- zamparelli, luca, 2008. "Direction and intensity of technical change: a micro-founded growth model," MPRA Paper 10843, University Library of Munich, Germany.
- Magat, Wesley A, 1979. "Technological Advance with Depletion of Innovation Possibilities-Implications for the Dynamics of Factor Shares," Economic Journal, Royal Economic Society, vol. 89(355), pages 614-23, September.
- Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
- Griffin, James M & Gregory, Paul R, 1976. "An Intercountry Translog Model of Energy Substitution Responses," American Economic Review, American Economic Association, vol. 66(5), pages 845-57, December.
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