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A Stochastic Optimal Control Model of Pollution Abatement


  • D. Dragone
  • L. Lambertini
  • G. Leitmann
  • A. Palestini


We model a dynamic monopoly with environmental externalities,investigating the adoption of a tax levied on the firm's instantaneous contribution to the accumulation of pollution. The latter process is subject to a shock, which is i.i.d. across instants. We prove the existence of an optimal tax rate such that the monopoly replicates the same steady state welfare level as under social planning. Yet, the corresponding output level, R&D investment for environmental friendly technologies and surplus distribution necessarily differ from the socially optimal ones.

Suggested Citation

  • D. Dragone & L. Lambertini & G. Leitmann & A. Palestini, 2009. "A Stochastic Optimal Control Model of Pollution Abatement," Working Papers 681, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:681

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    References listed on IDEAS

    1. Luca Lambertini, 2005. "Stackelberg leadership in a dynamic duopoly with stochastic capital accumulation," Journal of Evolutionary Economics, Springer, vol. 15(4), pages 443-465, October.
    2. Benchekroun, Hassan & Van Long, Ngo, 2002. "On the multiplicity of efficiency-inducing tax rules," Economics Letters, Elsevier, vol. 76(3), pages 331-336, August.
    3. Paul Klemperer & Margaret Meyer, 1986. "Price Competition vs. Quantity Competition: The Role of Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 618-638, Winter.
    4. Karp Larry & Livernois John, 1994. "Using Automatic Tax Changes to Control Pollution Emissions," Journal of Environmental Economics and Management, Elsevier, vol. 27(1), pages 38-48, July.
    5. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    6. D. Dragone & L. Lambertini & A. Palestini, 2009. "The Incentive to Invest in Environmental-Friendly Technologies: Dynamics Makes a Difference," Working Papers 658, Dipartimento Scienze Economiche, Universita' di Bologna.
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    Cited by:

    1. Mehdi Fadaee & Luca Lambertini, 2015. "Non-tradeable pollution permits as green R&D incentives," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 17(1), pages 27-42, January.
    2. M. Fadaee, 2011. "A Dynamic Approach to the Environmental Effects of Trade Liberalization," Working Papers wp746, Dipartimento Scienze Economiche, Universita' di Bologna.
    3. M. Fadaee & L. Lambertini, 2011. "Using Auctions for Pollution Rights as Indirect Incentives for Investments in Green Technologies," Working Papers wp729, Dipartimento Scienze Economiche, Universita' di Bologna.

    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
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • Q52 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Pollution Control Adoption and Costs; Distributional Effects; Employment Effects

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