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Optimal Control in Space and Time and the Management of Environmental Resources

  • William Brock
  • Anastasios Xepapadeas
  • Athanasios Yannacopoulos

We present methods and tools that can be used to study dynamic environmental resource management in a spatial setting, to explore spatially dependent regulation, and to understand pattern formation.In particular we present the maximum principle and its use in the context of the emerging frontier of applications of optimal control of diffusive transport processes to environmental and resource economics. We show how optimal spatiotemporal control induces pattern formation, and how deep uncertainty with a spatial structure can be handled with spatial robust control methods. Finally we show how models with diffusive transport can be extended to allow for long-range effects and more general transport mechanisms.

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File URL: http://wpa.deos.aueb.gr/docs/Optimal.Control.in.Space.and.Time.pdf.pdf
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Paper provided by Athens University of Economics and Business in its series DEOS Working Papers with number 1402.

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Date of creation: 16 Feb 2014
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Handle: RePEc:aue:wpaper:1402
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  1. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
  2. Carmen Camacho & Raouf Boucekkine & Fabbri Giorgio, 2013. "On the optimal control of some parabolic partial differential equations arising in economics," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00973388, HAL.
  3. Xabadia, M. Àngels & Goetz, Renan U. & Zilberman, David, 2004. "Spatially and Intertemporally Efficient Management of Waterlogging," Working Papers of the Department of Economics, University of Girona 9, Department of Economics, University of Girona.
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  9. Takao Asano, 2010. "Precautionary Principle and the Optimal Timing of Environmental Policy Under Ambiguity," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 47(2), pages 173-196, October.
  10. Klaus Desmet & Esteban Rossi-Hansberg, 2010. "On Spatial Dynamics," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 43-63.
  11. John Hassler & Per Krusell, 2012. "Economics And Climate Change: Integrated Assessment In A Multi-Region World," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 974-1000, October.
  12. Desmet, Klaus & Rossi-Hansberg, Esteban, 2012. "On the Spatial Economic Impact of Global Warming," CEPR Discussion Papers 9220, C.E.P.R. Discussion Papers.
  13. Raouf BOUCEKKINE & Carmen CAMACHO & Giorgio FABBRI, 2010. "Spatial dynamics and convergence: the spatial AK model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2010009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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  15. Vardas, Giannis & XEPAPADEAS, Anastasios, 2008. "Model Uncertainty, Ambiguity and the Precautionary Principle: Implications for Biodiversity Management," MPRA Paper 10236, University Library of Munich, Germany.
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  17. Brito, Paulo, 2011. "Global endogenous growth and distributional dynamics," MPRA Paper 41653, University Library of Munich, Germany.
  18. Catarina Roseta-Palma & Anastasios Xepapadeas, 2004. "Robust Control in Water Management," Journal of Risk and Uncertainty, Springer, vol. 29(1), pages 21-34, 07.
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  20. Brock, William & Xepapadeas, Anastasios, 2008. "Pattern Formation, Spatial Externalities and Regulation in Coupled Economic-Ecological Systems," MPRA Paper 9105, University Library of Munich, Germany.
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  22. repec:cor:louvrp:-2449 is not listed on IDEAS
  23. Maenhout, Pascal J., 2006. "Robust portfolio rules and detection-error probabilities for a mean-reverting risk premium," Journal of Economic Theory, Elsevier, vol. 128(1), pages 136-163, May.
  24. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
  25. 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.
  26. Athanassoglou, Stergios & Xepapadeas, Anastasios, 2012. "Pollution control with uncertain stock dynamics: When, and how, to be precautious," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 304-320.
  27. Goetz, Renan U. & Zilberman, David, 2000. "The dynamics of spatial pollution: The case of phosphorus runoff from agricultural land," Journal of Economic Dynamics and Control, Elsevier, vol. 24(1), pages 143-163, January.
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