Optimal pollution control with distributed delays
AbstractWe present a model of optimal stock pollution control with distributed delays in the stock accumulation dynamics. Using generic functional forms and a distribution structure that covers a wide range of distributions, we solve analytically the complex dynamic system that arises from the introduction of these distributed delays. Our contribution extends the dynamic optimization literature that focused on the single discrete delay case and develops an original method to address control problems with mixed type functional differential equations. Our results show the qualitative impact of acknowledging these distributed delays on the optimal pollution paths dynamics and identify the occurrence of limit cycles and the stability conditions of such a model that can be used to design efficient environmental policies.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Groupe de Recherche en Economie Théorique et Appliquée in its series Cahiers du GREThA with number 2013-03.
Date of creation: 2013
Date of revision:
Contact details of provider:
Postal: Avenue Léon Duguit, 33608 Pessac Cedex
Phone: +33 (0)220.127.116.11.75
Fax: +33 (0)18.104.22.168.47
Web page: http://gretha.u-bordeaux4.fr/
More information through EDIRC
Optimal Pollution Control; Distributed Delays; Mixed Type Functional Differential Equations; Hopf Bifurcation;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-01-26 (All new papers)
- NEP-ENE-2013-01-26 (Energy Economics)
- NEP-ENV-2013-01-26 (Environmental Economics)
- NEP-RES-2013-01-26 (Resource Economics)
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.:
- Tahvonen, Olli & Salo, Seppo, 1996. "Nonconvexities in Optimal Pollution Accumulation," Journal of Environmental Economics and Management, Elsevier, vol. 31(2), pages 160-177, September.
- Ralph Winkler, 2008. "Optimal control of pollutants with delayed stock accumulation," CER-ETH Economics working paper series 08/91, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
- Cyril Bourgeois & Pierre-Alain Jayet, 2010. "Revisited water-oriented relationships between a set of farmers and an aquifer: accounting for lag effect," Working Papers 2010/06, INRA, Economie Publique.
- Hippolyte D'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2012.
"Discontinuous Initial Value Problems for Funtional Differential-Algebraic Equations of Mixed Type,"
UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers)
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2012. "Discontinuous Initial Value Problems for Functional Differential-Algebraic Equations of Mixed Type," Documents de travail du Centre d'Economie de la Sorbonne 12043, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Keeler, Emmett & Spence, Michael & Zeckhauser, Richard, 1972. "The optimal control of pollution," Journal of Economic Theory, Elsevier, vol. 4(1), pages 19-34, February.
- Winkler, Ralph, 2011. "A Note On The Optimal Control Of Stocks Accumulating With A Delay," Macroeconomic Dynamics, Cambridge University Press, vol. 15(04), pages 565-578, September.
- Wirl, Franz, 1999. "Complex, dynamic environmental policies," Resource and Energy Economics, Elsevier, vol. 21(1), pages 19-41, January.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Vincent Frigant).
If references are entirely missing, you can add them using this form.