Abstract
Exhaustion of a natural resource stock may be a rational choice for an individual and/or a community, even if a sustainable use for the resource is feasible and the resource users are farsighted and well informed on the ecosystem. We identify conditions under which it is optimal not to sustain resource use. These conditions concern the discounting of future benefits, instability of a social system or ecosystem, nonconvexity of natural growth function, socio-psychological value of employment, and strategic interaction among resource users. The identification of these conditions can help design policies to prevent unsustainable patterns of resource use.
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References
Akao K (2001) Some results for resource games. Institute for Research in Contemporary Political and Economic Affairs Working Paper 2009, Waseda University, Tokyo
Akao K (2004) Tax schemes in a class of differential games. School of Social Sciences Working Paper, Waseda University, Tokyo
Akao K, Farzin YH (2006) When is it optimal to exhaust a resource in a finite time? FEEM Working Paper 23.06, Fondazione Eni Enrico Mattei, Milano
Beddington JR, Watts CMK, Wright WDC (1975) Optimal cropping of self-reproducible natural resources. Econometrica 43:789–802
Berck P (1979) Open access and extinction. Econometrica 47:877–882
Carlowitz HC von (1713) Sylvicultura oeconomica. Brauns, Leipzig
Clark CW (1976) Mathematical bioeconomics: the optimal management of renewable resources. Wiley, New York
Dasgupta P, Heal G (1974) The optimal depletion of exhaustible resources. Review of economic studies. Symposium on the economics of exhaustible resources, pp 3–28
Dasgupta P, Mäler KG (1997) The resource-basis of production and consumption: an economic analysis. In: Dasgupta P, Mäler KG (eds) The environment and emerging development issues, vol1. Clarendon Press, Oxford, pp 1–3
Dechert D, Nishimura K (1983) A complete characterization of optimal growth paths in an aggregate model with a nonconvex production function. J Econ Theory 31:332–354
Deissenberg C, Feichtinger G, Semmler W, Wirl F (2001) History dependence and global dynamics in models with multiple equilibria. Center for Empirical Macroeconomics Working Paper 12, University of Bielefeld, Bielefeld
Farzin YH (2004) Is an exhaustible resource economy sustainable? Rev Dev Econ 8:33–46
Farzin YH, Akao K (2004) Non-pecuniary value of employment and individual labor supply. FEEM Working Paper 158.04, Fondazione Eni Enrico Mattei, Milano
Farzin YH, Akao K (2006) Non-pecuniary value of employment and natural resource extinction. FEEM Working Paper 24.06, Fondazione Eni Enrico Mattei, Milano
Hardin G (1968) The tragedy of commons. Science 162:1243–1247
Hartl RF (1987) A simple proof of the monotonicity of the state trajectories in autonomous control problems. J Econ Theory 41:211–215
Hartl RF, Kort PM, Feichtinger G, Wirl F (2004) Multiple equilibria and threshold due to relative investment costs. J Optim Theory Appl 123:49–82
Heal G (1998) Valuing the future: economic theory and sustainability. Columbia University Press, New York
Levhari D, Liviatan N (1972) On stability in the saddle-point sense. J Econ Theory 4:88–93
Magill MJP (1981) Infinite horizon programs. Econometrica 49:679–712
Nordhaus WD (1994) Reflecting on the concept of sustainable economic growth. In: Pasinetti, LL, Solow RM (eds) Economic growth and the structure of long-term development. Macillan/St. Martin’s Press, New York, pp 309–325
Pearce D, Barbier EB, Markandya A. (1990) Sustainable development: economics and environment in the third World. Edward Elgar, Aldershot
Ramsey FP (1928) A mathematical theory of saving. Econ J 38:543–559
Skiba AK (1978) Optimal growth with a convex-concave production function. Econometrica 46:527–539
Solow RM (1998) An almost practical step toward sustainability. Resources for the Future, Washington, D.C.
Sorger G (1998) Markov-perfect Nash equilibria in a class of resources games. Econ Theory 11:78–100
Spence M, Starrett D (1975) Most rapid approach paths in accumulation problems. Int Econ Rev 16:388–403
Tsur Y, Zemel A (2006) Welfare measurement under threats of environmental catastrophes. J Environ Econ Manage 52:421–429
Turner RK, Pearce D, Bateman I (1994) Environmental economics: an elementary introduction. Harvester Wheatsheaf, New York
Vanclay JK (1996) Estimating sustainable timber production from tropical forests. CIFOR Working Paper 11, Center for International Forestry Research, Bogor
World Commission on Environment and Development (1987) Our common future. Oxford University Press, Oxford
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© 2007 The Ecological Society of Japan
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Akao, KI., Farzin, Y.H. (2007). When is it optimal to exhaust a resource in a finite time?. In: Nakashizuka, T. (eds) Sustainability and Diversity of Forest Ecosystems. Springer, Tokyo. https://doi.org/10.1007/978-4-431-73238-9_7
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DOI: https://doi.org/10.1007/978-4-431-73238-9_7
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