Working Paper : 1402


Authors Brock, W., Xepapadeas, A. and Yannacopoulos, A.
Title Optimal Control in Space and Time and the Management of Environmental Resources
Abstract 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.
Creation Date 2014-02-16
Keywords Diffusion, optimal control, pattern formation, robust control, hot spots, spatial externalities
File Optimal.Control.in.Space.and.Time.pdf.pdf (996741 bytes)
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