Optimal Waste Control with Abatement and Productive Capital Stocks
AbstractIn this paper we address the control problem of a social optimum in presence of waste and capital stocks. We address this problem in two stages. In the first, we suppose that output is fixed; next, we endogenize output allowing for growth. The analytical framework is simple. Consumption is assumed to generate an undesirable residue. Society can control waste accumulation using abatement capital, and rise output using productive capital which accumulates over time. We have three main results. (1) On the analytical ground we are able to find a closed form solution to the optimal consumption with waste, abatement and productive capital stocks. (2) For the case of fixed output, we get a solution where stocks and flows affect the dynamics of the system. Environmental policies may have permanent effects on the level of variables. Then, (3) when waste and abatement capital are embedded in a classical growth model, we obtain an Environmental Keynes-Ramsey rule which states that the growth rate of the productive capital is positive if and only if its net marginal productivity is greater than the net social cost it generates, given by the marginal disutility of waste weighted by its shadow cost.
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Bibliographic InfoPaper provided by University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini in its series Working Papers with number 1301.
Length: 33 pages
Date of creation: 2013
Date of revision: 2013
Abatement capital; waste accumulation; optimal control; Pigouvian taxes and subsidies; output growth;
Find related papers by JEL classification:
- E22 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Capital; Investment; Capacity
- L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation
- H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
- Q28 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Government Policy
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-01-26 (All new papers)
- NEP-DGE-2013-01-26 (Dynamic General Equilibrium)
- NEP-ENV-2013-01-26 (Environmental Economics)
- NEP-MAC-2013-01-26 (Macroeconomics)
- NEP-RES-2013-01-26 (Resource Economics)
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