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ENDOGENOUS GROWTH, BACKSTOP TECHNOLOGY ADOPTION, AND OPTIMAL JUMPS

Published online by Cambridge University Press:  12 November 2010

Simone Valente*
Affiliation:
Center of Economic Research, ETH Zürich
*
Address correspondence to: Simone Valente, Center of Economic Research, Eidgenössische Technische Hochschule Zürich, Zürichbergstrasse 18, CH-8032 Zürich, Switzerland; e-mail: svalente@ethz.ch.

Abstract

This paper analyzes a two-phase endogenous growth model in which the adoption of a backstop technology (e.g., solar) yields a sustained supply of essential energy inputs previously obtained from exhaustible resources (e.g., oil). Growth is knowledge-driven and the optimal timing of technology switching is determined by welfare maximization. The optimal path exhibits discrete jumps in endogenous variables: technology switching implies sudden reductions in consumption and output, an increase in the growth rate, and instantaneous adjustments in saving rates. Due to the positive growth effect, it is optimal to implement the new technology when its current consumption benefits are substantially lower than those generated by old technologies.

Type
Articles
Copyright
Copyright © Cambridge University Press 2010

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References

REFERENCES

Acemoglu, Daron (2002) Directed technical change. Review of Economic Studies 69, 781809.CrossRefGoogle Scholar
Aghion, Philippe and Howitt, Peter (1998) Endogenous Growth Theory. Cambridge, MA: MIT Press.Google Scholar
Alvarez-Cuadrado, Francisco (2008) Growth outside the stable path: Lessons from the European reconstruction. European Economic Review 52, 568588.Google Scholar
Aznar-Marquez, Juana and Ruiz-Tamarit, José Ramón (2005) Renewable natural resources and endogenous growth. Macroeconomic Dynamics 9, 170197.Google Scholar
Barbier, Edward B. (1999) Endogenous growth and natural resource scarcity. Environmental and Resource Economics 14, 5174.CrossRefGoogle Scholar
Barro, Robert J. and Sala-i-Martin, Xavier (2004) Economic Growth. Cambridge, MA: MIT Press.Google Scholar
Braumollé, Yann and Olson, Lars J. (2005) Allocation of pollution abatement under learning by doing. Journal of Public Economics 89, 19351960.Google Scholar
Bretschger, Lucas and Smulders, Sjak (2006) Sustainability and Substitution of Exhaustible Natural Resources: How Resource Prices Affect Long-Term R&D-Investments. CER Economics Working Paper Series 03/26, ETH Zurich.Google Scholar
Chakravorty, Ujjayant, Leach, Andrew, and Moreaux, Michel (2009) “Twin Peaks” in Energy Prices: A Hotelling Model with Pollution and Learning. University of Alberta Working Paper No. 2009–10.Google Scholar
Dasgupta, Partha, Gilbert, Richard J., and Stiglitz, Joseph E. (1982) Invention and innovation under alternative market structures: The case of natural resources. Review of Economic Studies 49, 567582.Google Scholar
Dasgupta, Partha and Heal, Geoffrey M. (1974) The optimal depletion of exhaustible resources. In Symposium on the Economics of Exhaustible Resources. Review of Economic Studies, 3–28.Google Scholar
Dasgupta, Partha and Stiglitz, Joseph E. (1981) Resource depletion under technological uncertainty. Econometrica 49, 85104.Google Scholar
Di Maria, Corrado and Valente, Simone (2008) Hicks meets Hotelling: The direction of technical change in capital-resource economies. % Environment and Development Economics 13, 691717.CrossRefGoogle Scholar
Grossman, Gene M. and Helpman, Elhanan (1991) Innovation and Growth in the Global Economy. Cambridge, MA: MIT Press.Google Scholar
Hoel, Michael (1978) Resource extraction, substitute production, and monopoly. Journal of Economic Theory 19, 2837.Google Scholar
Lucas, Robert E. (1988) On the mechanics of economic development. % Journal of Monetary Economics 22, 342.Google Scholar
Makris, Militiadis (2001) Necessary conditions for infinite-horizon discounted two-stage optimal control problems. Journal of Economic Dynamics and Control 25, 971991.CrossRefGoogle Scholar
Nordhaus, William D., Houthakker, Hendrik, and Solow, Robert M.. (1973) The allocation of energy resources. Brookings Papers on Economic Activity 3, 529576.Google Scholar
Ogaki, Masao and Reinhart, Carmen M. (1998) Measuring intertemporal substitution: The role of durable goods. Journal of Political Economy 106, 10781098.Google Scholar
Peretto, Pietro F. (1998) Technological change, market rivalry, and the evolution of the capitalist engine of growth. Journal of Economic Growth 3, 5380.CrossRefGoogle Scholar
Rebelo, Sergio (1991) Long-run policy analysis and long-run growth. % Journal of Political Economy 99, 500521.CrossRefGoogle Scholar
Rivera-Batiz, Luis A. and Romer, Paul M. (1991) Economic integration and endogenous growth. Quarterly Journal of Economics 106, 531555.Google Scholar
Romer, Paul M. (1989) Capital accumulation in the theory of long-run growth. In Barro, Robert J. (ed.), Modern Business Cycle Theory, pp. 51127. New York: Basil Blackwell.Google Scholar
Scholz, Christian M. and Ziemes, Georg (1999) Exhaustible resources, monopolistic competition, and endogenous growth. Environmental and Resource Economics 13, 169185.Google Scholar
Seierstad, Atle and Sydsaeter, Knut (1987) Optimal Control Theory with Economic Applications. Amsterdam: North-Holland.Google Scholar
Stiglitz, Joseph E. (1974) Growth with exhaustible natural resources: Efficient and optimal growth paths. In Symposium on the Economics of Exhaustible Resources. Review of Economic Studies, 123–137.Google Scholar
Tahvonen, Olli (1997) Fossil fuels, stock externalities, and backstop technology. Canadian Journal of Economics 30, 855874.Google Scholar
Tomiyama, Ken (1985) Two-stage optimal control problems and optimality conditions. Journal of Economic Dynamics and Control 9, 317337.Google Scholar
Tsur, Yacov and Zemel, Amos (2003) Optimal transition to backstop substitutes for nonrenewable resources. Journal of Economic Dynamics and Control 27, 551572.Google Scholar
Valente, Simone (2005) Sustainable development, renewable resources and technological progress. Environmental and Resource Economics 30, 115125.Google Scholar
Valente, Simone (2008) Intergenerational transfers, lifetime welfare and resource preservation. Environment and Development Economics 13, 5378.Google Scholar