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Modeling and Management of Resources under Uncertainty pp 207–219Cite as

A Differential Game Between Two Players Harvesting from a Divided Fishery

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Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 72))

Abstract

A model of a divided fishery is developed where we assume a logistic growth function and diffusion between the two regions. The optimal steady state stock levels for a player are calculated given the other player’s control variable and its value. This is applied to a herring fishery.

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References

  • Clark, C.W. 1976. Mathematical Bioeconomics: The Optimal Management of Renewable Resources, Wiley-Interscience, New York.

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  • Hämäläinen, R.P. and V. Kaitala. 1982. Proc. 21st IEEE Conf. on Control and Decision Making.

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  • Leitmann, G. 1981. The Calculus of Variation and Optimal Control: An Introduction, Plenum Press, New York.

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  • Munro, G.R. 1979. The optimal management of transboundary renewable resources. Can. J. Economics, Vol. 12, pp. 355–376.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Queensland, St. Lucia, Brisbane, Queensland, 4067, Australia

    Brodie Nicol

Authors
  1. Brodie Nicol
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Editor information

Editors and Affiliations

  1. Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ, 85721, USA

    Thomas L. Vincent

  2. Department of Fisheries and Wildlife, University of Minnesota, St. Paul, MN, 55108, USA

    Yosef Cohen

  3. Department of Mechanical and Materials Engineering, Washington State University, Pullman, WA, 99164-2920, USA

    Walter J. Grantham

  4. Division of Fisheries Research, CSIRO Marine Laboratories, GPO Box 1538, Hobart, Tasmania, Australia

    Geoffrey P. Kirkwood

  5. Department of Mathematics, University of Queensland, St. Lucia, Queensland, 4067, Australia

    Jan M. Skowronski

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© 1987 Springer-Verlag Berlin Heidelberg

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Nicol, B. (1987). A Differential Game Between Two Players Harvesting from a Divided Fishery. In: Vincent, T.L., Cohen, Y., Grantham, W.J., Kirkwood, G.P., Skowronski, J.M. (eds) Modeling and Management of Resources under Uncertainty. Lecture Notes in Biomathematics, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93365-3_16

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  • DOI: https://doi.org/10.1007/978-3-642-93365-3_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17999-3

  • Online ISBN: 978-3-642-93365-3

  • eBook Packages: Springer Book Archive

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