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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. 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.
    3. 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.

    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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