Exact measures of income in a hyperbolic economy
Exact optimal paths are calculated for a closed economy with human-made capital, non-renewable resource depletion and exogenous technical progress in production, hyperbolic utility discounting, and (possibly) hyperbolic technical progress. On its optimal path, generally, welfare-equivalent income > wealth-equivalent income > Sefton-Weale income > NNP, with possibly dramatic differences among these measures; and sustainable income can be greater, equal or less than NNP. This supports the view that there can be no best, exact definition of income. For low enough discounting, growth is optimal even when technical progress is zero. A particular discount rate makes all income measures and consumption constant and (except NNP) equal; and zero technical progress then gives the Solow (1974) maximin as a special case. General problems with calculating sustainable income when there is technical progress are discussed, and the optimal path is time-consistent if the discount rate can depend on the economy's stocks and absolute time.
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Volume (Year): 9 (2004)
Issue (Month): 04 (August)
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Asheim, Geir B., 2000.
"Green national accounting: why and how?,"
Environment and Development Economics,
Cambridge University Press, vol. 5(01), pages 25-48, February.
- John Hartwick, 1976.
"Intergenerational Equity and the Investing of Rents from Exhaustible Resources,"
220, Queen's University, Department of Economics.
- Hartwick, John M, 1977. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," American Economic Review, American Economic Association, vol. 67(5), pages 972-74, December.
- Joseph Stiglitz, 1974. "Growth with Exhaustible Natural Resources: Efficient and Optimal Growth Paths," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 123-137.
- Asheim, Geir B, 1997. " Adjusting Green NNP to Measure Sustainability," Scandinavian Journal of Economics, Wiley Blackwell, vol. 99(3), pages 355-70, September.
- R. M. Solow, 1974.
"Intergenerational Equity and Exhaustible Resources,"
Review of Economic Studies,
Oxford University Press, vol. 41(5), pages 29-45.
- R. M. Solow, 1973. "Intergenerational Equity and Exhaustable Resources," Working papers 103, Massachusetts Institute of Technology (MIT), Department of Economics.
- Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
- M. L. Weitzman, 1974.
"On the Welfare Significance of National Product in Dynamic Economy,"
125, Massachusetts Institute of Technology (MIT), Department of Economics.
- Martin L. Weitzman, 1976. "On the Welfare Significance of National Product in a Dynamic Economy," The Quarterly Journal of Economics, Oxford University Press, vol. 90(1), pages 156-162.
- Sefton, J. A. & Weale, M. R., 1996. "The net national product and exhaustible resources: The effects of foreign trade," Journal of Public Economics, Elsevier, vol. 61(1), pages 21-47, July.
- David Laibson, 1997.
"Golden Eggs and Hyperbolic Discounting,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 112(2), pages 443-478.
- Weitzman, Martin L, 1997. " Sustainability and Technical Progress," Scandinavian Journal of Economics, Wiley Blackwell, vol. 99(1), pages 1-13, March.
- Norman Henderson & Ian Bateman, 1995. "Empirical and public choice evidence for hyperbolic social discount rates and the implications for intergenerational discounting," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 5(4), pages 413-423, June.
- Heal, G., 1990.
"The Optimal Use Of Exhaustible Resources,"
fb-_90-10, Columbia - Graduate School of Business.
- Pezzey, John C V & Withagen, Cees A, 1998. " The Rise, Fall and Sustainability of Capital-Resource Economies," Scandinavian Journal of Economics, Wiley Blackwell, vol. 100(2), pages 513-27, June.
- Vincent, Jeffrey R., 2000. "Green accounting: from theory to practice," Environment and Development Economics, Cambridge University Press, vol. 5(01), pages 13-24, February.
- R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," Review of Economic Studies, Oxford University Press, vol. 23(3), pages 165-180.
- Usher, Dan, 1994. "Income and the Hamiltonian," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 40(2), pages 123-41, June.
- William D. Nordhaus, 2000. "New Directions in National Economic Accounting," American Economic Review, American Economic Association, vol. 90(2), pages 259-263, May.
- Partha Dasgupta & Geoffrey Heal, 1974. "The Optimal Depletion of Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 3-28.
- Martin L. Weitzman, 2001.
American Economic Review,
American Economic Association, vol. 91(1), pages 260-271, March.
- Martin L. Weitzman, 1998. "Gamma Discounting," Harvard Institute of Economic Research Working Papers 1843, Harvard - Institute of Economic Research.
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