Abstract
This paper is concerned with the problem of dynamic optimization in fisheries management. We shall utilize a mathematical model of fishing essentially due to M. Schaefer (1957). Although Schaefer’s model is a dynamic one, most economic analyses based upon it (including Schaefer’s own analysis) have been purely static. In the first section of this paper, therefore, we review briefly a recent dynamic treatment of the Schaefer model due to the author (Clark, 1973).
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References
Anderson, L.G., Optimum economic yield of a fishery, given a variable price of output, J. Fish. Res. Bd. Canada 30, 1973, 509–518.
Brock, W.A., Some results on the uniqueness of steady states in multisector models when future utilities are discounted, International Economic Review 14, (1973), 535–559.
Clark, C.W., The economics of overexploitation, Science 181 (No. 4100), Aug. 17, 1973, 630–634.
Clark, C.W., Antarctic whaling: a model of joint production (to appear).
Clark, C.W., and Munro, G.R., The economics of fisheries and modern capital theory: a simplified approach (forthcoming).
Copes, P., The backward-bending supply curve of the fishing industry, Scot. J. Polit. Econ. 17, (1970), 69–77.
Gordon, H.S., Economic theory of a common-property resource: the fishery, J. Polit. Econ. 62, (1954), 124–142.
Kurz, M., Optimal economic growth and wealth effects, International Economic Review 9, (1968), 343–357.
Leviatan, N., and Samuelson, P., Notes on turnpikes — stable and unstable, Journal of Economic Theory 1, (1969), 454–475.
Pontrjagin, L.S., et al., The Mathematical Theory of Optimal Processes, New York, Interscience, 1962.
Samuelson, P.A., The two-part golden rule deduced as the asymptotic turnpike of catenary motion, Western Econ. J. 6, (1967/68), 85–89.
Schaefer, M.B., Some consideration of population dynamics and economics in relation to the management of marine fisheries. J. Fish. Res. Bd. Canada 14, (1957), 669–681.
Scott, A.D., The fishery: the objectives of sole ownership, J.Polit. Econ. 63, (1955), 116–124.
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© 1975 Springer-Verlag Berlin · Heidelberg
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Clark, C.W. (1975). Supply and Demand Relationships in Fisheries Management. In: Bensoussan, A., Lions, J.L. (eds) Control Theory, Numerical Methods and Computer Systems Modelling. Lecture Notes in Economics and Mathematical Systems, vol 107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46317-4_46
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DOI: https://doi.org/10.1007/978-3-642-46317-4_46
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