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

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  • Tavani, Daniele

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.

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  • Tavani, Daniele, 2008. "Optimal Induced Innovation and Growth with Congestion of a Limited Natural Resource," MPRA Paper 11525, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:11525
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. Skott, Peter, 1981. "Technological Advance with Depletion of Innovation Possibilities: A Comment and Some Extensions," Economic Journal, Royal Economic Society, vol. 91(364), pages 977-987, December.
    5. 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.
    6. 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 614-623, September.
    7. 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.
    8. zamparelli, luca, 2008. "Direction and intensity of technical change: a micro-founded growth model," MPRA Paper 10843, University Library of Munich, Germany.
    9. 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 845-857, December.
    10. Per Krusell & Lee E. Ohanian & JosÈ-Victor RÌos-Rull & Giovanni L. Violante, 2000. "Capital-Skill Complementarity and Inequality: A Macroeconomic Analysis," Econometrica, Econometric Society, vol. 68(5), pages 1029-1054, September.
    11. 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.
    12. 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.
    13. 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.
    14. 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 1137-1177, December.
    15. Lionel W. McKenzie, 2012. "turnpike theory," The New Palgrave Dictionary of Economics, Palgrave Macmillan.
    16. 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.
    17. Daron Acemoglu, 2002. "Directed Technical Change," Review of Economic Studies, Oxford University Press, vol. 69(4), pages 781-809.
    18. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, March.
    19. Robert Chirinko & Steven M. Fazzari & Andrew P. Meyer, 2002. "That Elusive Elasticity: A Long-panel Approach to Estimating the Price Sensitivity of Business Capital," Emory Economics 0202, Department of Economics, Emory University (Atlanta).
    20. 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.
    21. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    More about this item

    Keywords

    Induced Innovation; Climate Change; Technological Change; Functional Distribution of Income;

    JEL classification:

    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • Q55 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environmental Economics: Technological Innovation

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