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The dynamic structure of optimal tax under environmental pollution

Author

Listed:
  • Dug Lee
  • Kenneth Lyon

Abstract

In this paper, we present a nonrenewable resource model including environmental pollution stock as a state variable to analyze the dynamic structure of an optimal tax. Based on the optimality conditions of our model, we showed that the optimal time path of the shadow cost of environmental pollution stock is the same as that of the costate variable of environmental pollution stock. We derived this statement by applying the Continuous Dependence on Initial Conditions Theorem (Coddington, E.A. & N. Levinston 1984, pp. 22-27) to the optimal control problem. Thus, this result provides a theoretical basis to determine the magnitude of optimal tax to be imposed over time. In addition, we observed the characteristics of two costate variables included in our model. We identified that the costate variable for resource stock is decomposed between the scarcity 3effect and the cost effect. On the other hand, the costate variable for environmental pollution stock is solely due to the disutility effect.

Suggested Citation

  • Dug Lee & Kenneth Lyon, 2001. "The dynamic structure of optimal tax under environmental pollution," Working Papers 2001-18, Utah State University, Department of Economics.
    • Handle: RePEc:usu:wpaper:2001-18
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    File URL: https://repec.bus.usu.edu/RePEc/usu/pdf/ERI2001-18.pdf
    File Function: First version, 2001
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    More about this item

    Keywords

    nonrenewable resource; environmental pollution stock; costate variables;
    All these keywords.

    JEL classification:

    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General

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