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Optimal control of pollutants with delayed stock accumulation

We study the optimal control of a pollutant that accumulates with a delay.We find that optimal paths are, in general, non-monotonic and oscillatory, but monotonic if the objective function is additively separable. Hence, using additively separable objective functions as an approximation to a general objective function may be a misspecification. With a numerical example we illustrate that an additively separable approximation performs considerably worse in delayed compared to instantaneous stock accumulation.

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File URL: https://www.ethz.ch/content/dam/ethz/special-interest/mtec/cer-eth/cer-eth-dam/documents/working-papers/wp_08_91.pdf
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Paper provided by CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich in its series CER-ETH Economics working paper series with number 08/91.

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Length: 25 pages
Date of creation: Jul 2008
Handle: RePEc:eth:wpswif:08-91
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  1. Patrick Asea & Paul J. Zak, 1997. "Time-to-Build and Cycles," UCLA Economics Working Papers 767, UCLA Department of Economics.
  2. Ulrich Brandt-Pollmann & Ralph Winkler & Sebastian Sager & Ulf Moslener & Johannes Schlöder, 2008. "Numerical Solution of Optimal Control Problems with Constant Control Delays," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 181-206, March.
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  8. Benhabib, Jess & Rustichini, Aldo, 1990. "Vintage Capital, Investment And Growth," Working Papers 90-22, C.V. Starr Center for Applied Economics, New York University.
  9. Christoph Heinzel & Ralph Winkler, 2007. "The role of environmental and technology policies in the transition to a low-carbon energy industry," CER-ETH Economics working paper series 07/71, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
  10. Stefan Baumgärtner & Frank Jöst & Ralph Winkler, 2007. "Optimal dynamic scale and structure of a multi-pollution economy," Working Paper Series in Economics 50, University of Lüneburg, Institute of Economics.
  11. Moslener, Ulf & Requate, Till, 2005. "Optimal Abatement in Dynamic Multi-Pollutant Problems When Pollutants can be Complements or Substitutes," ZEW Discussion Papers 05-27, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  12. Falk Ita & Mendelsohn Robert, 1993. "The Economics of Controlling Stock Pollutants: An Efficient Strategy for Greenhouse Gases," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 76-88, July.
  13. El-Hodiri, Mohamed A & Loehman, Edna & Whinston, Andrew B, 1972. "An Optimal Growth Model with Time Lags," Econometrica, Econometric Society, vol. 40(6), pages 1137-1146, November.
  14. Keeler, Emmett & Spence, Michael & Zeckhauser, Richard, 1972. "The optimal control of pollution," Journal of Economic Theory, Elsevier, vol. 4(1), pages 19-34, February.
  15. Frederick Ploeg & Cees Withagen, 1991. "Pollution control and the Ramsey problem," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 1(2), pages 215-236, June.
  16. Goulder, Lawrence H. & Mathai, Koshy, 2000. "Optimal CO2 Abatement in the Presence of Induced Technological Change," Journal of Environmental Economics and Management, Elsevier, vol. 39(1), pages 1-38, January.
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