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Robust Control of a Spatially Distributed Commercial Fishery

In: Dynamic Optimization in Environmental Economics

Author

Listed:
  • William A. Brock

    (University of Wisconsin, Madisson
    University of Missouri)

  • Anastasios Xepapadeas

    (Athens University of Economics and Business)

  • Athanasios N. Yannacopoulos

    (Athens University of Economics and Business)

Abstract

We consider a robust control model for a spatially distributed commercial fishery under uncertainty, and in particular a tracking problem, i.e. the problem of robust stabilization of a chosen deterministic benchmark state in the presence of model uncertainty. The problem is expressed in the form of a stochastic linear quadratic robust optimal control problem, which is solved analytically. We focus on the emergence of breakdown from the robust stabilization policy, called hot spots, and comment upon their significance concerning the spatiotemporal behaviour of the system.

Suggested Citation

  • William A. Brock & Anastasios Xepapadeas & Athanasios N. Yannacopoulos, 2014. "Robust Control of a Spatially Distributed Commercial Fishery," Dynamic Modeling and Econometrics in Economics and Finance, in: Elke Moser & Willi Semmler & Gernot Tragler & Vladimir M. Veliov (ed.), Dynamic Optimization in Environmental Economics, edition 127, pages 215-241, Springer.
    • Handle: RePEc:spr:dymchp:978-3-642-54086-8_10
    DOI: 10.1007/978-3-642-54086-8_10
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    Cited by:

    1. is not listed on IDEAS
    2. Athanasios Yannacopoulos & Anastasios Xepapadeas, "undated". "Climate Change Policy under Spatially Structured Ambiguity: Hot Spots and the Precautionary Principle," DEOS Working Papers 1332, Athens University of Economics and Business.
    3. Brock, William A. & Engström, Gustav & Grass, Dieter & Xepapadeas, Anastasios, 2013. "Energy balance climate models and general equilibrium optimal mitigation policies," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2371-2396.
    4. Behringer, Stefan & Upmann, Thorsten, 2014. "Optimal harvesting of a spatial renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 105-120.
    5. Anastasios Xepapadeas & Athanasios Yannacopoulos, 2018. "Spatially Structured Deep Uncertainty, Robust Control, and Climate Change Policies," DEOS Working Papers 1807, Athens University of Economics and Business.

    More about this item

    Keywords

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    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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