A note on the consequences of an endogenous discounting depending on the environmental quality
Our intention is to study, in the framework of a very simple optimal growth model, the consequences on the optimal paths followed by consumption and the environmental quality of an endogenous discounting. Consumption directly comes from the use of environmental services and so is a direct cause of environmental degradation. The environment is valued both as a source of consumption and as an amenity. For a sustainability concern, we introduce an endogenous discount rate growing with the environmental quality, and compare the optimal growth paths with the ones obtained in the usual case of exogenous and constant discounting. We show that the convergence of the environmental quality towards a steady state occurs only for a very special configuration of the parameters in the exogenous discounting case, while it occurs generically in the endogenous discounting one. This happens for a utility discount rate becoming suficiently high when the environmental quality is high and suficiently low when the environmental quality is poor. In this case then, endogenous discounting with a positive marginal discount rate allows us to avoid the depletion of the environment.
|Date of creation:||Apr 2007|
|Publication status:||Published in Macroeconomic Dynamics, Cambridge University Press (CUP), 2007, 11 (2), pp.272-289. <10.1017/S1365100507060063>|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00206326|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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- Michel, P., 1980.
"On the Transversality Condition in Infinite Horizon Optimal Problems,"
Cahiers de recherche
8024, Universite de Montreal, Departement de sciences economiques.
- Michel, Philippe, 1982. "On the Transversality Condition in Infinite Horizon Optimal Problems," Econometrica, Econometric Society, vol. 50(4), pages 975-85, July.
- Li, Chuan-Zhong & Lofgren, Karl-Gustaf, 2000. "Renewable Resources and Economic Sustainability: A Dynamic Analysis with Heterogeneous Time Preferences," Journal of Environmental Economics and Management, Elsevier, vol. 40(3), pages 236-250, November.
- 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.
- Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
- Robert J. Barro, 1999. "Ramsey Meets Laibson in the Neoclassical Growth Model," The Quarterly Journal of Economics, Oxford University Press, vol. 114(4), pages 1125-1152.
- Palivos, Theodore & Wang, Ping & Zhang, Jianbo, 1997. "On the Existence of Balanced Growth Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 205-24, February.
- Maurice Obstfeld, 1989.
"Intertemporal Dependence, Impatience, and Dynamics,"
NBER Working Papers
3028, National Bureau of Economic Research, Inc.
- Obstfeld, Maurice, 1990. "Intertemporal dependence, impatience, and dynamics," Journal of Monetary Economics, Elsevier, vol. 26(1), pages 45-75, August.
- Smulders, Sjak & Gradus, Raymond, 1996.
"Pollution abatement and long-term growth,"
European Journal of Political Economy,
Elsevier, vol. 12(3), pages 505-532, November.
- Smulders, J.A. & Gradus, R.H.J.M., 1993. "Pollution abatement and long-term growth," Discussion Paper 1993-73, Tilburg University, Center for Economic Research.
- Smulders, J.A. & Gradus, R.H.J.M., 1996. "Pollution abatement and long-term growth," Other publications TiSEM 1ed65010-f4ac-4a1f-84b6-4, Tilburg University, School of Economics and Management.
- George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 573-597.
- Heal, Geoffrey, 2005. "Intertemporal Welfare Economics and the Environment," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 21, pages 1105-1145 Elsevier.
- Harvey, Charles M., 1994. "The reasonableness of non-constant discounting," Journal of Public Economics, Elsevier, vol. 53(1), pages 31-51, January.
- Gollier, Christian, 2002. "Time Horizon and the Discount Rate," Journal of Economic Theory, Elsevier, vol. 107(2), pages 463-473, December.
- Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
- Graciela Chichilnisky, 1996.
"An axiomatic approach to sustainable development,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 231-257, April.
- Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
- Weitzman, Martin L., 1998. "Why the Far-Distant Future Should Be Discounted at Its Lowest Possible Rate," Journal of Environmental Economics and Management, Elsevier, vol. 36(3), pages 201-208, November.
- David I. Laibson, 1996. "Hyperbolic Discount Functions, Undersaving, and Savings Policy," NBER Working Papers 5635, National Bureau of Economic Research, Inc.
- Becker, Robert A. & Boyd, John III & Sung, Bom Yong, 1989. "Recursive utility and optimal capital accumulation. I. Existence," Journal of Economic Theory, Elsevier, vol. 47(1), pages 76-100, February.
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