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Exact measures of income in a hyperbolic economy

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  • PEZZEY, JOHN C.V.

Abstract

For 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 Info

Article provided by Cambridge University Press in its journal Environment and Development Economics.

Volume (Year): 9 (2004)
Issue (Month): 04 (August)
Pages: 473-484

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Handle: RePEc:cup:endeec:v:9:y:2004:i:04:p:473-484_00

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  12. 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.
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Cited by:
  1. Christian Groth & Karl-Josef Koch & Thomas M. Steger, 2009. "When economic growth is less than exponential," Volkswirtschaftliche Diskussionsbeiträge 129-09, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Christian Groth & Karl-Josef Koch & Thomas Steger, 2006. "Rethinking the Concept of Long-Run Economic Growth," CESifo Working Paper Series 1701, CESifo Group Munich.
  7. Bazhanov, Andrei, 2011. "Зависимость Долгосрочного Роста Ресурсной Экономики От Начального Состояния: Сравнение Моделей На Примере �," MPRA Paper 35888, University Library of Munich, Germany.
  8. Bazhanov, Andrei, 2008. "Sustainable growth in a resource-based economy: the extraction-saving relationship," MPRA Paper 12350, University Library of Munich, Germany.
  9. Bazhanov, Andrei, 2010. "Constant-utility paths in a resource-based economy," MPRA Paper 27619, University Library of Munich, Germany, revised 20 Dec 2010.
  10. 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.
  11. 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.
  12. 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.
  13. 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.

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