Abstract
This paper presents a model of optimal natural resource depletion with endogeneous technical progress. The form of technical progress chosen is that of learning by doing in the use of the natural resource. The model is outlined and necessary conditions for optimality are obtained and interpreted. The principal object of the analysis is to discuss the appropriate Hotelling rule for this economy. The reason for concentrating on this rule is that explicit analysis of the optimal solution will require detailed specifications of the functions in the model whereas the Hotelling rule merely relates the derivatives of these functions. The Hotelling rule for this economy differs from the usual one [see for example Ingham/Simmons] of equilibrium in asset markets. Decentralisation of the optimal plan requires firms in the economy to have access to a full set of future markets.
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References
Arrow, K. : The Economic Implications of Learning by Doing. Review of Economic Studies 29, 1962, 155–173.
Bliss, C.: On Putty-Clay. Review of Economic Studies 35, 1968, 105–132.
Hadley, G., and M. Kemp: Variational Methods in Economics. Amsterdam 1974.
Ingham, A. : Some historical notes on natural resource models. University of Southampton, (mimeo) 1981.
Ingham, A., and P. Simmons: Natural Resources and Growing Population. Review of Economic Studies 42, 1975, 191–206.
Kamien, M., and N. Schwartz: Optimal Exhaustible Resource Depletion with Endogenous Technical Change. Review of Economic Studies 45, 1978, 179–196.
Landes, D.: The Unbound Prometheus. Cambridge 1970.
Mathias, P.: Who Unbound Prometheus? Science and Technical Change, 1600–1800. Science in Society, 1600–1900. Ed. by P. Mathias. Cambridge 1970.
Takayama, A. : Optimal Technical Progress with Exhaustible Resources. Exhaustible Resources, Optimally and Trade. Ed. by M. Kemp and N.V. Long. Amsterdam 1980.
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© 1982 Springer-Verlag Berlin Heidelberg
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Ingham, A. (1982). Learning by Burning. In: Eichhorn, W., Henn, R., Neumann, K., Shephard, R.W. (eds) Economic Theory of Natural Resources. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-41575-7_24
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DOI: https://doi.org/10.1007/978-3-662-41575-7_24
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0274-0
Online ISBN: 978-3-662-41575-7
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