Optimal Waste Control with Abatement and Productive Capital Stocks
In 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.
|Date of creation:||2013|
|Date of revision:||2013|
|Contact details of provider:|| Web page: http://www.econ.uniurb.it/|
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- Smulders, J.A. & Gradus, R.H.J.M., 1993.
"Pollution abatement and long-term growth,"
1993-73, Tilburg University, Center for Economic Research.
- Elettra Agliardi & Luigi Sereno, 2011.
"Environmental Protection, Public Finance Requirements and the Timing of Emission Reductions,"
Working Paper Series
53_11, The Rimini Centre for Economic Analysis.
- Agliardi, Elettra & Sereno, Luigi, 2012. "Environmental protection, public finance requirements and the timing of emission reductions," Environment and Development Economics, Cambridge University Press, vol. 17(06), pages 715-739, December.
- Nordhaus, William, 1982.
"How Fast Should We Graze the Global Commons?,"
American Economic Review,
American Economic Association, vol. 72(2), pages 242-246, May.
- Vernon L. Smith, 1972. "Dynamics of Waste Accumulation: Disposal versus Recycling," The Quarterly Journal of Economics, Oxford University Press, vol. 86(4), pages 600-616.
- Pindyck, Robert S., 2000.
"Irreversibilities and the timing of environmental policy,"
Resource and Energy Economics,
Elsevier, vol. 22(3), pages 233-259, July.
- Pindyck, Robert S., 1998. "Irreversibilities and the timing of environmental policy," Working papers WP 4047-98., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Solow, Robert M, 1986. " On the Intergenerational Allocation of Natural Resources," Scandinavian Journal of Economics, Wiley Blackwell, vol. 88(1), pages 141-149.
- Cees Withagen, 1995. "Pollution, abatement and balanced growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 5(1), pages 1-8, January.
- Clarke, Harry R. & Reed, William J., 1994. "Consumption/pollution tradeoffs in an environment vulnerable to pollution-related catastrophic collapse," Journal of Economic Dynamics and Control, Elsevier, vol. 18(5), pages 991-1010, September.
- Hartwick, John M., 1990.
"Natural resources, national accounting and economic depreciation,"
Journal of Public Economics,
Elsevier, vol. 43(3), pages 291-304, December.
- John M. Hartwick, 1990. "Natural Resources, National Accounting and Economic Depreciation," Working Papers 771, Queen's University, Department of Economics.
- C. G. Plourde, 1972. "A Model of Waste Accumulation and Disposal," Canadian Journal of Economics, Canadian Economics Association, vol. 5(1), pages 119-125, February.
- Rafael Lusky, 1976. "A Model of Recycling and Pollution Control," Canadian Journal of Economics, Canadian Economics Association, vol. 9(1), pages 91-101, February.
- Becker, Robert A., 1982. "Intergenerational equity: The capital-environment trade-off," Journal of Environmental Economics and Management, Elsevier, vol. 9(2), pages 165-185, June.
- Xepapadeas, A. P., 1992. "Environmental policy, adjustment costs, and behavior of the firm," Journal of Environmental Economics and Management, Elsevier, vol. 23(3), pages 258-275, November.
- Frederick Ploeg & Cees Withagen, 1991. "Pollution control and the Ramsey problem," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 1(2), pages 215-236, June.
- Saltari, Enrico & Travaglini, Giuseppe, 2011. "The effects of environmental policies on the abatement investment decisions of a green firm," Resource and Energy Economics, Elsevier, vol. 33(3), pages 666-685, September.
- Lin, Tyrone T. & Huang, Shio-Ling, 2010. "An entry and exit model on the energy-saving investment strategy with real options," Energy Policy, Elsevier, vol. 38(2), pages 794-802, February.
- Xepapadeas, Anastasios, 2005. "Economic growth and the environment," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 23, pages 1219-1271 Elsevier.
- Bovenberg, A.L. & Smulders, J.A., 1995.
"Environmental quality and pollution-augmenting technological change in a two-sector endogenous growth model,"
Other publications TiSEM
6784bb12-71fb-45a5-bf7e-8, Tilburg University, School of Economics and Management.
- Lans Bovenberg, A. & Smulders, Sjak, 1995. "Environmental quality and pollution-augmenting technological change in a two-sector endogenous growth model," Journal of Public Economics, Elsevier, vol. 57(3), pages 369-391, July.
- Pindyck, Robert S., 2002. "Optimal timing problems in environmental economics," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1677-1697, August.
- Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
- Dasgupta, Partha & M Ler, Karl-G Ran, 2000. "Net national product, wealth, and social well-being," Environment and Development Economics, Cambridge University Press, vol. 5(01), pages 69-93, February.
- Anastasios Xepapadeas, 2001.
"Environmental Policy and Firm Behavior: Abatement Investment and Location Decisions under Uncertainty and Irreversibility,"
in: Behavioral and Distributional Effects of Environmental Policy, pages 281-308
National Bureau of Economic Research, Inc.
- Anastasios Xepapadeas, 1999. "Environmental Policy and Firm Behavior: Abatement Investment and Location Decisions Under Uncertainty and Irreversibility," NBER Technical Working Papers 0243, National Bureau of Economic Research, Inc.
- Lin, Tyrone T. & Ko, Chuan-Chuan & Yeh, Hsin-Ni, 2007. "Applying real options in investment decisions relating to environmental pollution," Energy Policy, Elsevier, vol. 35(4), pages 2426-2432, April.
- Smith, V. Kerry, 1987. "Uncertainty, benefit-cost analysis, and the treatment of option value," Journal of Environmental Economics and Management, Elsevier, vol. 14(3), pages 283-292, September.
- Ansar, Jasmin & Sparks, Roger, 2009. "The experience curve, option value, and the energy paradox," Energy Policy, Elsevier, vol. 37(3), pages 1012-1020, March.
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