A note on the consequences of an endogenous discounting depending on the environmental quality
AbstractOur 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.
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Date of creation: Apr 2007
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Publication status: Published, Macroeconomic Dynamics, 2007, 11, 2, 272-289
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Endogenous discounting; Sustainability; Environment;
Other versions of this item:
- Le Kama, Alain Ayong & Schubert, Katheline, 2007. "A Note On The Consequences Of An Endogenous Discounting Depending On The Environmental Quality," Macroeconomic Dynamics, Cambridge University Press, vol. 11(02), pages 272-289, April.
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- 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, MIT Press, vol. 114(4), pages 1125-1152, November.
- 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.
- Loewenstein, George & Prelec, Drazen, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 573-97, May.
- 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.
- 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.
- 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.
- 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.
- Gollier, Christian, 2002. "Time Horizon and the Discount Rate," Journal of Economic Theory, Elsevier, vol. 107(2), pages 463-473, December.
- Graciela Chichilnisky, 1996.
"An axiomatic approach to sustainable development,"
Social Choice and Welfare,
Springer, vol. 13(2), pages 231-257, April.
- Harvey, Charles M., 1994. "The reasonableness of non-constant discounting," Journal of Public Economics, Elsevier, vol. 53(1), pages 31-51, January.
- Maurice Obstfeld, 1991.
"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.
- David I. Laibson, 1996. "Hyperbolic Discount Functions, Undersaving, and Savings Policy," NBER Working Papers 5635, National Bureau of Economic Research, Inc.
- Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
- Alain Ayong Le Kama, 2001.
"Preservation and exogenous uncertain future preferences,"
Springer, vol. 18(3), pages 745-752.
- Alain Ayong Le Kama, 2012. "Preservation and Endogenous Uncertain Future Preferences," Working Papers 1204, Chaire Economie du Climat.
- Eugenia Vella & Evangelos V. Dioikitopoulos & Sarantis Kalyvitis, 2012.
"Green Spending Reforms, Growth and Welfare with Endogenous Subjective Discounting,"
DEGIT Conference Papers
c017_045, DEGIT, Dynamics, Economic Growth, and International Trade.
- Eugenia Vella & Evangelos Dioikitopoulos & Sarantis Kalyvitis, . "Green Spending Reforms, Growth and Welfare with Endogenous Subjective Discounting," DEOS Working Papers 1335, Athens University of Economics and Business.
- BONNEUIL, Noël & BOUCEKKINE, Raouf, 2009.
"Sustainability, optimality, and viability in the Ramsey model,"
CORE Discussion Papers
2009074, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Noël Bonneuil & Raouf Boucekkine, 2009. "Sustainability, optimality, and viability in the Ramsey model," Working Papers 2009_34, Business School - Economics, University of Glasgow.
- Schumacher, Ingmar, 2011.
"Endogenous discounting and the domain of the felicity function,"
Elsevier, vol. 28(1-2), pages 574-581, January.
- Schumacher, Ingmar, 2011. "Endogenous discounting and the domain of the felicity function," Economic Modelling, Elsevier, vol. 28(1), pages 574-581.
- Di Vita, Giuseppe, 2008.
"Is the discount rate relevant in explaining the Environmental Kuznets Curve?,"
Journal of Policy Modeling,
Elsevier, vol. 30(2), pages 191-207.
- Giuseppe Di Vita, 2003. "Is the Discount Rate Relevant in Explaining the Environmental Kuznets Curve?," Working Papers 2003.83, Fondazione Eni Enrico Mattei.
- Ingmar, SCHUMACHER, 2006.
"On optimality, endogeneous discounting and wealth accumulation,"
Discussion Papers (ECON - DÃ©partement des Sciences Economiques)
2006058, Université catholique de Louvain, Département des Sciences Economiques.
- SCHUMACHER, Ingmar, 2006. "On optimality, endogenous discounting and wealth accumulation," CORE Discussion Papers 2006103, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Yanase, Akihiko, 2011. "Impatience, pollution, and indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 35(10), pages 1789-1799, October.
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