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Bifurcations of optimal vector fields in the shallow lake system

Author

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  • Kiseleva, T.

    (Universiteit van Amsterdam)

  • Wagener, F.O.O.

Abstract

The shallow lake problem is a nonconvex production-pollution dynamic optimisation problem whose solution structure depends nonlinearly on the system parameters. We perform a bifurcation analysis to investigate the consequences of varying the relative cost of pollution and the discount rate.

Suggested Citation

  • Kiseleva, T. & Wagener, F.O.O., 2008. "Bifurcations of optimal vector fields in the shallow lake system," CeNDEF Working Papers 08-01, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    • Handle: RePEc:ams:ndfwpp:08-01
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    File URL: http://cendef.uva.nl/binaries/content/assets/subsites/amsterdam-school-of-economics/amsterdam-school-of-economics-research-institute/cendef/working-papers-2008/elnote.pdf?1417182633907
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    Cited by:

    1. Florian Wagener, 2013. "Shallow lake economics run deep: nonlinear aspects of an economic-ecological interest conflict," Computational Management Science, Springer, vol. 10(4), pages 423-450, December.
    2. Yuri Yegorov & Dieter Grass & Magda Mirescu & Gustav Feichtinger & Franz Wirl, 2020. "Growth and Collapse of Empires: A Dynamic Optimization Model," Journal of Optimization Theory and Applications, Springer, vol. 186(2), pages 620-643, August.

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