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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: http://www.cer.ethz.ch/research/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
Date of revision:
Handle: RePEc:eth:wpswif:08-91
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  1. Raouf Boucekkine & Omar Licandro & Luis A. Puch & Fernando del Rio, 2003. "Vintage capital and the dynamics of the AK model," Documentos de Trabajo del ICAE 0310, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
  2. Baumgärtner, Stefan & Jöst, Frank & Winkler, Ralph, 2009. "Optimal dynamic scale and structure of a multi-pollution economy," Ecological Economics, Elsevier, vol. 68(4), pages 1226-1238, February.
  3. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December.
  4. Boucekkine, Raouf & Germain, Marc & Licandro, Omar, 1997. "Replacement Echoes in the Vintage Capital Growth Model," Journal of Economic Theory, Elsevier, vol. 74(2), pages 333-348, June.
  5. Moslener, Ulf & Requate, Till, 2005. "Optimal Abatement in Dynamic Multipollutant Problems when Pollutants can be Complements or Substitutes," Economics Working Papers 2005,03, Christian-Albrechts-University of Kiel, Department of Economics.
  6. 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.
  7. 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.
  8. Smith, Vernon L., 1977. "Control theory applied to natural and environmental resources an exposition," Journal of Environmental Economics and Management, Elsevier, vol. 4(1), pages 1-24, March.
  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. Goeschl, Timo & Perino, Grischa, 2007. "Innovation without magic bullets: Stock pollution and R&D sequences," Journal of Environmental Economics and Management, Elsevier, vol. 54(2), pages 146-161, September.
  11. Keeler, Emmett & Spence, Michael & Zeckhauser, Richard, 1972. "The optimal control of pollution," Journal of Economic Theory, Elsevier, vol. 4(1), pages 19-34, February.
  12. Patrick K. Asea & Paul J. Zak, 1997. "Time-to-Build and Cycles," NBER Technical Working Papers 0211, National Bureau of Economic Research, Inc.
  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 1137-46, November.
  14. Frederick Ploeg & Cees Withagen, 1991. "Pollution control and the Ramsey problem," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 1(2), pages 215-236, June.
  15. repec:ner:tilbur:urn:nbn:nl:ui:12-3107039 is not listed on IDEAS
  16. Mauro Bambi, 2006. "Endogenous growth and time to build: the AK case," Computing in Economics and Finance 2006 77, Society for Computational Economics.
  17. Ulrich Brandt-Pollmann & Ralph Winkler & Sebastian Sager & Ulf Moslener & Johannes P. Schlöder, 2006. "Numerical solution of optimal control problems with constant control delays," CER-ETH Economics working paper series 06/59, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
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