Abstract
This paper analyzes sustainable growth in a stochastic environment, with human extinction as a possible outcome. The basic constraint of sustainability is that consumption never decreases over an infinite horizon, which requires that the probability of extinction be maintained at zero. We show that this problem can be examined in a standard optimal-growth model. Under certain conditions, the solution of this problem is a corner solution with probability of survival equal to one, at the cost of economic growth. These conditions depend on the initial development level and on the elasticity of utility with respect to consumption. In some circumstances, which depend on the social discount rate, optimal-growth paths do not exist. In these situations, the sustainable-growth concept has a clear autonomy with respect to the usual optimality criterion.
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References
Andersen, P., and J.G. Sutinen. (1984). “Stochastic Bio-Economics: A Review of Basic Methods and Results.”Marine Resource Economics 1(2), 117–136.
Baranzini, A., and F. Bourguignon. (1994). “Is Sustainable Growth Optimal?” Milano: Fondazione ENI Enrico Mattei, Nota di Lavoro 60.94.
Barbier, E.B. (1987). “The Concept of Sustainable Economic Development.”Environmental Conservation 14(2), 101–110.
Barbier, E.B., and A. Markandya. (1990). “The Conditions for Achieving Environmentally Sustainable Growth.”European Economic Review 34, 659–669.
Barro, R.J. (1990). “Government Spending in a Simple Model of Endogenous Growth.”Journal of Political Economy 98(5), S103-S125.
Becker, G.S., and K.M. Murphy. (1988). “A Theory of Rational Addiction.”Journal of Political Economy 96(4), 675–700.
Bertola, G. (1993). “Factor Shares and Savings in Endogenous Growth.”American Economic Review 83(5), 1184–1198.
Chaloupka, F. (1991). “Rational Addictive Behaviour and Cigarette Smoking.”Journal of Political Economy 99(4), 722–742.
Costanza, R. (1989). “What Is Ecological Economics?”Ecological Economics 1(1), 1–7.
Daly, H.E. (1990). “Towards Some Operational Principles of Sustainable Development.”Ecological Economics 2(1), 1–6.
Dasgupta, P. (1993). “Optimal Development and the Idea of Net National Product.” Paris: A Joint CEPR/OECD Development Centre Conference.
Dasgupta, P., and G. Heal. (1974). “The Optimal Depletion of Exhaustible Resources.”Review of Economic Studies, Symposium on the Economics of Exhaustible Resources, 3–28.
Economist, The. (1992). “Let Them Eat Pollution.” February 8, p. 66.
Ehrlich, I., and H. Chuma. (1990). “A Model of the Demand for Longevity and the Value of Life Extension.”Journal of Political Economy 98(4), 761–782.
Epstein, L.G. (1987). “Impatience.” In J. Eatwell, M. Milgate, and P. Newman (eds.),The New Palgrave Dictionary of Economics. London: Macmillan.
Forster, B.A. (1973). “Optimal Consumption Planning in a Polluted Environment.”Economic Record 49(128), 534–545.
Forster, B.A. (1980). “Optimal Energy Use in a Polluted Environment.”Journal of Environmental Economics and Management 7, 321–333.
Grossman, M. (1972). “The Demand for Health: A Theoretical and Empirical Investigation.” New York: Columbia University Press (for NBER).
Grossman, G.M. (1993). “Pollution and Growth: What Do We Know?” Paris: A Joint CEPR/OECD Development Centre Conference.
Heal, G. (1982). “Interactions Between Economy and Climate: A Framework for Policy Design Under Uncertainty.” In V. Kerry Smith and A. Witte (eds.),Advances in Applied Microeconomics (Vol 3). Greenwich, Conn.: JAI Press.
Hornung, M., and M. Holland. (1992). “A Survey of Dose-Response Functions for Use in Valuation of the Environmental Costs of Air Pollution.” Geneva: Thirty-Third International Conference of the Applied Econometric Association.
Keeler, E., M. Spence, and R. Zeckhauser. (1971). “The Optimal Control of Pollution.”Journal of Economic Theory 4, 19–34.
Krautkramer, J.A. (1990). “Neoclassical Economics and Sustainability.” Preliminary Draft, Department of Economics, Washington State University.
Merton, R.C. (1971). “Optimum Consumption and Portfolio Rules in a Continuous-Time Model.”Journal of Economic Theory 3, 373–413.
Merton, R.C. (1975). “An Asymptotic Theory of Growth Under Uncertainty.”Review of Economic Studies 42, 375–393.
Mirer, T.W. (1991). “On the Optimal Length of Life: A Life Cycle Model of Suicide in Retirement.” Mimeo, State University of New York at Albany.
Parfit, D. (1984).Reasons and Persons. Oxford: Clarendon Press.
Pearce, D.W., E.B. Barbier, and A. Markandya. (1988).Sustainable Development. Economics and Environment in the Third World. Hants: Edward Elgar Publ.
Pearce, D.W., A. Markandya, and E.B. Barbier. (1989).Blueprint for a Green Economy. London: Earthscan.
Pezzey, J. (1989). “Economic Analysis of Sustainable Growth and Sustainable Development.” Washington, DC: World Bank Environment Department, Working Paper No. 15.
Pindyck, R.S. (1984). “Uncertainty in the Theory of Renewable Resources Markets.”Review of Economic Studies 51, 289–303.
Plourde, C., and D. Yeung. (1989). “A Model of Industrial Pollution in a Stochastic Environment.”Journal of Environmental Economics and Management 16, 97–105.
Rosen, S. (1988). “The Value of Changes in Life Expectancy.”Journal of Risk and Uncertainty 1(3), 285–304.
Summers, L.H. (1992). “Summers on Sustainable Growth.”The Economist, May 30, p. 71.
Tahvonen, O. (1991). “On the Dynamics of Renewable Resource Harvesting and Pollution Control.”Environmental and Resource Economics 1(1), 97–117.
Tietenberg, T.H. (1988).Environmental and Natural Resource Economics (2nd ed.). Glenview: Scott, Foresman.
Toman, M.A. (1992). “The Difficulty in Defining Sustainability.”Resources 106, 3–6.
van der Ploeg, F., and C. Withagen. (1991). “Pollution Control and the Ramsey Problem.”Environmental and Resource Economics 1(2), 215–236.
Viscusi, W.K., and M.J. Moore. (1989). “Rates of Time Preference and Valuations of the Duration of Life.”Journal of Public Economics 38, 297–317.
WCED. (1987).Our Common Future. Oxford: Oxford University Press.
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Baranzini, A., Bourguignon, F. Is sustainable growth optimal?. Int Tax Public Finan 2, 341–356 (1995). https://doi.org/10.1007/BF00877505
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DOI: https://doi.org/10.1007/BF00877505