Stochastic technical change, non-renewable resource and optimal sustainable growth
We develop a stochastic endogenous growth model involving a non-renewable resource, in which innovation arrivals are governed by a non-stationary Poisson process. Using a CRRA analytical example, we characterize the optimal trajectories of the model and analyze the effects of uncertainty in the sense of Rothschild and Stiglitz by computing a mean-preserving spread. We show that increased variability in the innovation process always implies a smaller optimal R&D effort, since this leads to a reduced marginal rate of return. Effects on the other variables of the model may also be unambiguously identified depending upon the relative risk aversion of agents, the social discount rate and the marginal arrival rate of innovations. Finally, we investigate the conditions under which, on average, the economy reaches a sustainable growth path.
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- Aghion, Philippe & Howitt, Peter, 1992.
"A Model of Growth through Creative Destruction,"
Econometric Society, vol. 60(2), pages 323-51, March.
- Philippe Aghion & Peter Howitt, 1990. "A Model of Growth Through Creative Destruction," NBER Working Papers 3223, National Bureau of Economic Research, Inc.
- Aghion, P. & Howitt, P., 1989. "A Model Of Growth Through Creative Destruction," UWO Department of Economics Working Papers 8904, University of Western Ontario, Department of Economics.
- Aghion, P. & Howitt, P., 1989. "A Model Of Growth Through Creative Destruction," Working papers 527, Massachusetts Institute of Technology (MIT), Department of Economics.
- Aghion, P. & Howitt, P., 1990. "A Model Of Growth Through Creative Destruction," DELTA Working Papers 90-12, DELTA (Ecole normale supérieure).
- Ayong Le Kama, Alain D., 2001. "Sustainable growth, renewable resources and pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1911-1918, December.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Asheim, G.B. & Buchholz, W. & Tungodden, B., 1999.
5/99, Norwegian School of Economics and Business Administration-.
- Endress, Lee H. & Roumasset, James A. & Zhou, Ting, 2005. "Sustainable growth with environmental spillovers," Journal of Economic Behavior & Organization, Elsevier, vol. 58(4), pages 527-547, December.
- repec:eee:resene:v:27:y:2005:i:2:p:91-108 is not listed on IDEAS
- Steger, Thomas M., 2005. "Stochastic growth under Wiener and Poisson uncertainty," Economics Letters, Elsevier, vol. 86(3), pages 311-316, March.
- Walde, Klaus, 2002. "The economic determinants of technology shocks in a real business cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 1-28, November.
- Morton I. Kamien & Nancy L. Schwartz, 1978. "Optimal Exhaustible Resource Depletion with Endogenous Technical Change," Review of Economic Studies, Oxford University Press, vol. 45(1), pages 179-196.
- Dasgupta, Partha & Stiglitz, Joseph, 1981. "Resource Depletion under Technological Uncertainty," Econometrica, Econometric Society, vol. 49(1), pages 85-104, January.
- R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
- Daron Acemoglu, 2002.
"Directed Technical Change,"
Review of Economic Studies,
Oxford University Press, vol. 69(4), pages 781-809.
- José Manuel Madeira Belbute & João Rodrigues & Tiago Domingos & Pedro Conceição, 2003.
"Constraints on Dematerialisation and Allocation of Natural Capital along a Sustainable Growth Path,"
Economics Working Papers
1_2003, University of Évora, Department of Economics (Portugal).
- Rodrigues, João & Domingos, Tiago & Conceição, Pedro & Belbute, José, 2005. "Constraints on dematerialisation and allocation of natural capital along a sustainable growth path," Ecological Economics, Elsevier, vol. 54(4), pages 382-396, September.
- Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth Through Creative Destruction," Scholarly Articles 12490578, Harvard University Department of Economics.
- Walde, Klaus, 1999. "Optimal Saving under Poisson Uncertainty," Journal of Economic Theory, Elsevier, vol. 87(1), pages 194-217, July.
- Robson, Arthur J, 1980. "Costly Innovation and Natural Resources," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 17-30, February.
- Grimaud, Andre & Rouge, Luc, 2003. "Non-renewable resources and growth with vertical innovations: optimum, equilibrium and economic policies," Journal of Environmental Economics and Management, Elsevier, vol. 45(2, Supple), pages 433-453, March.
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