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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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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. Ulrich Brandt-Pollmann & Ralph Winkler & Sebastian Sager & Ulf Moslener & Johannes Schlöder, 2008. "Numerical Solution of Optimal Control Problems with Constant Control Delays," Computational Economics, Society for Computational Economics, vol. 31(2), pages 181-206, March.
  2. 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.
  3. Boucekkine, Raouf & Del Rio, Fernando & Licandro, Omar, 2000. "Vintage capital and the dynamics of the AK model," CEPREMAP Working Papers (Couverture Orange) 0003, CEPREMAP.
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  5. Benhabib, Jess & Rustichini, Aldo, 1990. "Vintage Capital, Investment And Growth," Working Papers 90-22, C.V. Starr Center for Applied Economics, New York University.
  6. 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.
  7. 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.
  8. Patrick K. Asea & Paul J. Zak, 1997. "Time-to-Build and Cycles," NBER Technical Working Papers 0211, National Bureau of Economic Research, Inc.
  9. Moslener, Ulf & Requate, Till, 2007. "Optimal abatement in dynamic multi-pollutant problems when pollutants can be complements or substitutes," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2293-2316, July.
  10. 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.
  11. 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.
  12. Keeler, Emmett & Spence, Michael & Zeckhauser, Richard, 1972. "The optimal control of pollution," Journal of Economic Theory, Elsevier, vol. 4(1), pages 19-34, February.
  13. 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.
  14. Mauro Bambi, 2006. "Endogenous Growth and Time-to-Build: the AK Case," Economics Working Papers ECO2006/17, European University Institute.
  15. 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.
  16. 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.
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