Optimal Control and Resources
AbstractNecessary and sufficient conditions from optimal control theory that are typically used when studying finite and infinite horizon natural resource economics problems are stated. In the finite horizon case their use is demonstrated by deriving an explicit solution of a model describing the optimal cleanup of a hazardous stock. In the infinite horizon case a qualitative characterization of the solution of a renewable resource extraction problem is achieved by employing a phase diagram. Complementary techniques such as comparative dynamics and dynamic envelope results are also employed in order to demonstrate how to extract the maximum amount of information from natural resource economics problems.
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Bibliographic InfoPaper provided by University of Central Florida, Department of Economics in its series Working Papers with number 2011-07.
Length: 31 Pages
Date of creation: Aug 2011
Date of revision:
optimal control theory; necessary conditions; sufficient conditions; transversality conditions; comparative dynamics; dynamic envelope theorem; phase diagram;
Find related papers by JEL classification:
- E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
- E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers
- F31 - International Economics - - International Finance - - - Foreign Exchange
- F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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"Optimal Control Theory and Static Optimization in Economics,"
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