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Optimal pollution control with distributed delays

Author

Listed:
  • Marc Leandri

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

  • Emmanuelle Augeraud-Véron

    (MIA - Mathématiques, Image et Applications - ULR - La Rochelle Université)

Abstract

We present a model of optimal stock pollution control with general distributed delays in the stock accumulation dynamics. Using generic functional forms and a distribution structure covering a wide range of distributions, we solve analytically the complex dynamic system that arises from the introduction of these distributed delays. From a theoretical standpoint, our contribution extends the dynamic optimization literature that focused on single discrete delays and develops an original method to address control problems written as mixed type functional differential equations with general kernels. Our results show the qualitative impact of acknowledging these distributed delays on the optimal pollution paths dynamics. We study analytically the properties of the dynamics and we identify the conditions for the occurrence of limit cycles. This theoretical work contributes to the design of efficient environmental policies in the presence of complex delays.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Marc Leandri & Emmanuelle Augeraud-Véron, 2013. "Optimal pollution control with distributed delays," Post-Print hal-00798294, HAL.
    • Handle: RePEc:hal:journl:hal-00798294
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    Cited by:

    1. Yiwen Chen & Nora Paulus & Xi Wan & Benteng Zou, 2024. "To Deploy or Not to Deploy CCS Abatement, and When : A Differential Game Perspective," DEM Discussion Paper Series 24-07, Department of Economics at the University of Luxembourg.
    2. Emmanuelle Augeraud-Véron & Catherine Choquet & Éloïse Comte, 2017. "Optimal Control for a Groundwater Pollution Ruled by a Convection–Diffusion–Reaction Problem," Journal of Optimization Theory and Applications, Springer, vol. 173(3), pages 941-966, June.

    More about this item

    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

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