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Constant-utility paths in a resource-based economy

  • Bazhanov, Andrei

This paper analyzes a social planner's solution in a resource-based economy under a constant-utility criterion. The utility function includes social progress in a multiplicative form. The resulting paths of consumption include the patterns of growth that are conventionally used in the literature. This approach extends conventional link between the utilitarian criterion and the maximin for the cases with finite elasticity of marginal utility. The closed form solutions, derived for the Dasgupta-Heal-Solow-Stiglitz (DHSS) model, include the result of Solow (1974) and Hartwick (1977) as a specific case. The approach is applied to an example of a distorted resource-extracting economy under the requirement for smoothness of the paths with respect to historical data.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 27619.

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Date of creation: 02 Aug 2010
Date of revision: 20 Dec 2010
Handle: RePEc:pra:mprapa:27619
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  1. 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.
  2. Francisco Alvarez-Cuadrado & Ngo Van Long, 2007. "A Mixed Bentham-Rawls Criterion For Intergenerational Equity: Theory And Implications," Departmental Working Papers 2007-03, McGill University, Department of Economics.
  3. 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.
  4. Griffin, James M & Gregory, Paul R, 1976. "An Intercountry Translog Model of Energy Substitution Responses," American Economic Review, American Economic Association, vol. 66(5), pages 845-57, December.
  5. Vincent Martinet, 2007. "A step beside the maximin path: can we sustain the economy by following Hartwick's investment rule?," Post-Print hal-01172817, HAL.
  6. Long, Ngo Van, 1975. "Resource extraction under the uncertainty about possible nationalization," Journal of Economic Theory, Elsevier, vol. 10(1), pages 42-53, February.
  7. Bazhanov, Andrei, 2008. "Sustainable growth: The extraction-saving relationship," MPRA Paper 9911, University Library of Munich, Germany.
  8. 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.
  9. 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.
  10. 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.
  11. Mitra, Tapan, 1978. "Efficient growth with exhaustible resources in a neoclassical model," Journal of Economic Theory, Elsevier, vol. 17(1), pages 114-129, February.
  12. Tjalling C. Koopmans, 1962. "On Flexibility of Future Preference," Cowles Foundation Discussion Papers 150, Cowles Foundation for Research in Economics, Yale University.
  13. John C. V. Pezzey, 2002. "Exact Measures of Income in a Hyperbolic Economy," Economics and Environment Network Working Papers 0203, Australian National University, Economics and Environment Network.
  14. Kenneth Arrow & Partha Dasgupta & Karl-Göran Mäler, 2003. "Evaluating Projects and Assessing Sustainable Development in Imperfect Economies," Working Papers 2003.109, Fondazione Eni Enrico Mattei.
  15. repec:oup:restud:v:52:y:1985:i:3:p:505-13 is not listed on IDEAS
  16. Dasgupta, Partha, 1974. "On some alternative criteria for justice between generations," Journal of Public Economics, Elsevier, vol. 3(4), pages 405-423, November.
  17. repec:oup:restud:v:55:y:1988:i:3:p:469-83 is not listed on IDEAS
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  19. Kenneth Stollery, 1998. "Constant Utility Paths and Irreversible Global Warming," Canadian Journal of Economics, Canadian Economics Association, vol. 31(3), pages 730-742, August.
  20. 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.
  21. Gérard Gaudet, 2007. "Natural resource economics under the rule of Hotelling," Canadian Journal of Economics, Canadian Economics Association, vol. 40(4), pages 1033-1059, November.
  22. 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.
  23. David Levhari & Nissan Liviatan, 1977. "Notes on Hotelling's Economics of Exhaustible Resources," Canadian Journal of Economics, Canadian Economics Association, vol. 10(2), pages 177-92, May.
  24. Geir B. Asheim, 2005. "Intergenerational Ethics under Resource Constraints," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 141(III), pages 313-330, September.
  25. Kirk Hamilton & John Hartwick, 2005. "Investing exhaustible resource rents and the path of consumption," Canadian Journal of Economics, Canadian Economics Association, vol. 38(2), pages 615-621, May.
  26. Mitra, Tapan, 1983. "Limits on Population Growth under Exhaustible Resource Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 155-68, February.
  27. Bazhanov, Andrei, 2008. "Sustainable growth in a resource-based economy: the extraction-saving relationship," MPRA Paper 12350, University Library of Munich, Germany.
  28. Pindyck, Robert S, 1979. "Interfuel Substitution and the Industrial Demand for Energy: An International Comparison," The Review of Economics and Statistics, MIT Press, vol. 61(2), pages 169-79, May.
  29. repec:oup:restud:v:45:y:1978:i:1:p:103-20 is not listed on IDEAS
  30. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586.
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