Exact measures of income in a hyperbolic economy
AbstractFor a closed economy with human-made capital, non-renewable resource depletion and (possibly) exogenous, hyperbolic technical progress as explicit-form inputs to a production function, there is a feasible development path that is as if optimal with respect to hyperbolic utility discounting. On this path, typically, welfare-equivalent income wealth-equivalent income Sefton-Weale income net national product, with possibly dramatic differences among these measures; and sustainable income can be greater than, equal to, or less than NNP. For low enough discounting, growing consumption is optimal even when technical progress is zero. A particular discount rate makes all income measures and consumption constant and (except net national product) equal; and zero technical progress then gives the Solow (1974) maximin as a special case. The optimal path is time-consistent because of the way the utility discount rate is chosen to depend on the economy s stocks, and hence on absolute time.
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Bibliographic InfoArticle provided by Cambridge University Press in its journal Environment and Development Economics.
Volume (Year): 9 (2004)
Issue (Month): 04 (August)
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Other versions of this item:
- D90 - Microeconomics - - Intertemporal Choice - - - General
- O47 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Measurement of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence
- Q01 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Sustainable Development
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- 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.
- JA Sefton & MR Weale, . "The net national product and exhaustible resources: the effects of foreign trade," NIESR Discussion Papers 73, National Institute of Economic and Social Research.
- 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.
- John Hartwick, 1976. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," Working Papers 220, Queen's University, Department of Economics.
- Martin L. Weitzman, 1998.
Harvard Institute of Economic Research Working Papers
1843, Harvard - Institute of Economic Research.
- M. L. Weitzman, 1974.
"On the Welfare Significance of National Product in Dynamic Economy,"
125, Massachusetts Institute of Technology (MIT), Department of Economics.
- Weitzman, Martin L, 1976. "On the Welfare Significance of National Product in a Dynamic Economy," The Quarterly Journal of Economics, MIT Press, vol. 90(1), pages 156-62, February.
- Asheim, Geir B, 1997. " Adjusting Green NNP to Measure Sustainability," Scandinavian Journal of Economics, Wiley Blackwell, vol. 99(3), pages 355-70, September.
- Vincent, Jeffrey R., 2000. "Green accounting: from theory to practice," Environment and Development Economics, Cambridge University Press, vol. 5(01), pages 13-24, February.
- Asheim, Geir B., 2000.
"Green national accounting: why and how?,"
Environment and Development Economics,
Cambridge University Press, vol. 5(01), pages 25-48, February.
- Laibson, David, 1997.
"Golden Eggs and Hyperbolic Discounting,"
The Quarterly Journal of Economics,
MIT Press, vol. 112(2), pages 443-77, May.
- R. M. Solow, 1973. "Intergenerational Equity and Exhaustable Resources," Working papers 103, Massachusetts Institute of Technology (MIT), Department of Economics.
- Heal, Geoffrey M., 1993.
"The optimal use of exhaustible resources,"
Handbook of Natural Resource and Energy Economics,
in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 3, chapter 18, pages 855-880
- Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
- 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.
- William D. Nordhaus, 2000. "New Directions in National Economic Accounting," American Economic Review, American Economic Association, vol. 90(2), pages 259-263, May.
- 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.
- 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.
- Bazhanov, A., 2011.
"The Dependence of the Potential Sustainability of a Resource Economy on the Initial State: a Comparison of Models Using the Example of Russian Oil Extraction,"
Journal of the New Economic Association,
New Economic Association, issue 12, pages 77-100.
- Bazhanov, Andrei, 2011. "The dependence of the potential sustainability of a resource economy on the initial state: a comparison of models using the example of Russian oil extraction," MPRA Paper 35870, University Library of Munich, Germany.
- Bazhanov, Andrei V., 2010. "Sustainable growth: Compatibility between a plausible growth criterion and the initial state," Resources Policy, Elsevier, vol. 35(2), pages 116-125, June.
- Kirk Hamilton & Giovanni Ruta & Liaila Tajibaeva, 2006.
"Capital Accumulation and Resource Depletion: A Hartwick Rule Counterfactual,"
Environmental & Resource Economics,
European Association of Environmental and Resource Economists, vol. 34(4), pages 517-533, August.
- Hamilton, Kirk & Ruta, Giovanni & Tajibaeva, Liaila, 2005. "Capital accumulation and resources depletion - a Hartwick rule counterfactual," Policy Research Working Paper Series 3480, The World Bank.
- Bazhanov, Andrei V., 2013.
"Constant-utility paths in a resource-based economy,"
Resource and Energy Economics,
Elsevier, vol. 35(3), pages 342-355.
- Bazhanov, Andrei, 2010. "Constant-utility paths in a resource-based economy," MPRA Paper 27619, University Library of Munich, Germany, revised 20 Dec 2010.
- Christian Groth & Karl-Josef Koch & Thomas Steger, 2010.
"When economic growth is less than exponential,"
Springer, vol. 44(2), pages 213-242, August.
- Christian Groth & Karl-Josef Koch & Thomas M. Steger, 2009. "When economic growth is less than exponential," MAGKS Papers on Economics 200931, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
- Christian Groth & Karl-Josef Koch & Thomas M. Steger, 2009. "When economic growth is less than exponential," Volkswirtschaftliche DiskussionsbeitrÃ¤ge 129-09, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
- Christian Groth & Karl-Josef Koch & Thomas M. Steger, . "When Economic Growth is Less than Exponential," EPRU Working Paper Series 2009-03, Economic Policy Research Unit (EPRU), University of Copenhagen. Department of Economics, revised May 2009.
- John C. V. Pezzey, 2005. "Sustained growth from non-renewable resources: constant absolute genuine savings and constant relative genuine savings compared," Economics and Environment Network Working Papers 0502, Australian National University, Economics and Environment Network.
- Bazhanov, Andrei, 2008. "Sustainable growth in a resource-based economy: the extraction-saving relationship," MPRA Paper 12350, University Library of Munich, Germany.
- Asheim, Geir B. & Buchholz, Wolfgang & Hartwick, John M. & Mitra, Tapan & Withagen, Cees, 2007.
"Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints,"
Journal of Environmental Economics and Management,
Elsevier, vol. 53(2), pages 213-229, March.
- Geir B. Asheim & Wolfgang Buchholz & John M. Hartwick & Tapan Mitra & Cees A. Withagen, 2005. "Constant Savings Rates and Quasi-Arithmetic Population Growth under Exhaustible Resource Constraints," CESifo Working Paper Series 1573, CESifo Group Munich.
- Asheim, Geir B. & Buchholz, Wolfgang & Hartwick, John M. & Mitra, Tapan & Withagen, Cees, 2005. "Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints," Memorandum 23/2005, Oslo University, Department of Economics.
- Christian Groth & Karl-Josef Koch & Thomas Steger, 2006.
"Rethinking the Concept of Long-Run Economic Growth,"
CESifo Working Paper Series
1701, CESifo Group Munich.
- Christian Groth & Karl-Josef Koch & Thomas M. Steger, 2006. "Rethinking the Concept of Long-Run Economic Growth," Discussion Papers 06-06, University of Copenhagen. Department of Economics.
- Bazhanov, Andrei, 2010. "A closed form solution to Stollery's global warming problem with temperature in utility," MPRA Paper 22406, University Library of Munich, Germany.
- Andrei Bazhanov, 2012. "A Closed-Form Solution to Stollery’s Problem with Damage in Utility," Computational Economics, Society for Computational Economics, vol. 39(4), pages 365-386, April.
- Bazhanov, Andrei, 2011. "Зависимость Долгосрочного Роста Ресурсной Экономики От Начального Состояния: Сравнение Моделей На Примере �," MPRA Paper 35888, University Library of Munich, Germany.
- John C. V. Pezzey, 2002. "A One-sided Sustainability Test With Multiple Consumption Goods," Working Papers in Ecological Economics 0201, Australian National University, Centre for Resource and Environmental Studies, Ecological Economics Program.
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