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The Effect of Uncertainty on Pollution Control Policy

Author

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  • Athanassoglou, Stergios

Abstract

I study a class of differential games of pollution control with profit functions that are polynomial in the global pollution stock. Given an emissions path satisfying mild regularity conditions, a simple polynomial ambient transfer scheme is exhibited that induces it in Markov-perfect equilibrium (MPE). Proposed transfers are a polynomial function of the difference between actual and desired pollution levels; moreover, they are designed so that in MPE no tax or subsidy is ever levied. Their applicability under stochastic pollution dynamics is studied for a symmetric game of polluting oligopolists with linear demand. I discuss a quadratic scheme that induces agents to adopt Markovian emissions strategies that are stationary and linear-decreasing in total pollution. Total expected ambient transfers are always non-positive and increase linearly in volatility and the absolute value of the slope of the inverse demand function. However, if the regulator is interested in inducing a constant emissions strategy then, in expectation, transfers vanish.

Suggested Citation

  • Athanassoglou, Stergios, 2009. "The Effect of Uncertainty on Pollution Control Policy," MPRA Paper 16898, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:16898
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    Citations

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    Cited by:

    1. Stergios Athanassoglou & Glenn Sheriff & Tobias Siegfried & Woonghee Tim Huh, 2009. "Simple Mechanisms for Managing Complex Aquifers," NCEE Working Paper Series 200905, National Center for Environmental Economics, U.S. Environmental Protection Agency, revised Oct 2009.
    2. Ewald, Christian-Oliver & Wang, Wen-Kai, 2011. "Analytic solutions for infinite horizon stochastic optimal control problems via finite horizon approximation: A practical guide," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 146-151, May.
    3. Tsur, Yacov & de Gorter, Harry, 2012. "Dynamic regulation of nonpoint source pollution when the number of emitters is large," Discussion Papers 122124, Hebrew University of Jerusalem, Department of Agricultural Economics and Management.

    More about this item

    Keywords

    differential games; stochastic dynamics; nonpoint source pollution; policy design;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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