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Constant-utility paths in a resource-based economy

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  • Bazhanov, Andrei

Abstract

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.

Suggested Citation

  • Bazhanov, Andrei, 2010. "Constant-utility paths in a resource-based economy," MPRA Paper 27619, University Library of Munich, Germany, revised 20 Dec 2010.
  • Handle: RePEc:pra:mprapa:27619
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    1. Martinet, Vincent, 2007. "A step beside the maximin path: Can we sustain the economy by following Hartwick's investment rule?," Ecological Economics, Elsevier, vol. 64(1), pages 103-108, October.
    2. 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.
    3. Alvarez-Cuadrado, Francisco & Van Long, Ngo, 2009. "A mixed Bentham-Rawls criterion for intergenerational equity: Theory and implications," Journal of Environmental Economics and Management, Elsevier, vol. 58(2), pages 154-168, September.
    4. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586, November.
    5. Bazhanov, Andrei, 2008. "Sustainable growth in a resource-based economy: the extraction-saving relationship," MPRA Paper 12350, University Library of Munich, Germany.
    6. 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.
    7. Christian Groth & Karl-Josef Koch & Thomas Steger, 2010. "When economic growth is less than exponential," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 213-242, August.
    8. 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 845-857, December.
    9. Dasgupta, Partha, 1974. "On some alternative criteria for justice between generations," Journal of Public Economics, Elsevier, vol. 3(4), pages 405-423, November.
    10. Wolfgang Leininger, 1985. "Rawls' Maximin Criterion and Time-Consistency: Further Results," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 505-513.
    11. Bazhanov, Andrei, 2008. "Sustainable growth: The extraction-saving relationship," MPRA Paper 9911, University Library of Munich, Germany.
    12. 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 169-179, May.
    13. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 29-45.
    14. Christian Groth & Karl-Josef Koch & Thomas Steger, 2006. "Rethinking the Concept of Long-Run Economic Growth," CESifo Working Paper Series 1701, CESifo.
    15. 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.
    16. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    17. Joseph Stiglitz, 1974. "Growth with Exhaustible Natural Resources: Efficient and Optimal Growth Paths," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 123-137.
    18. Pezzey, John C.V., 2004. "Exact measures of income in a hyperbolic economy," Environment and Development Economics, Cambridge University Press, vol. 9(4), pages 473-484, August.
    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 972-974, December.
    21. Guillermo Calvo, 1978. "Some Notes on Time Inconsistency and Rawls' Maximin Criterion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 97-102.
    22. 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.
    23. Kirk Hamilton & John M. Hartwick, 2005. "Investing exhaustible resource rents and the path of consumption," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(2), pages 615-621, May.
    24. Kirk Hamilton & Giovanni Ruta & Liaila Tajibaeva, 2006. "Capital Accumulation and Resource Depletion: A Hartwick Rule Counterfactual," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 34(4), pages 517-533, August.
    25. John Roemer & Kotaro Suzumura (ed.), 2007. "Intergenerational Equity and Sustainability," International Economic Association Series, Palgrave Macmillan, number 978-0-230-23676-9, April.
    26. Kenneth Arrow & Partha Dasgupta & Karl-Göran Mäler, 2003. "Evaluating Projects and Assessing Sustainable Development in Imperfect Economies," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 647-685, December.
    27. World Commission on Environment and Development,, 1987. "Our Common Future," OUP Catalogue, Oxford University Press, number 9780192820808, Decembrie.
    28. E. S. Phelps & J. G. Riley, 1978. "Rawlsian Growth: Dynamic Programming of Capital and Wealth for Intergeneration "Maximin" Justice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 103-120.
    29. 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.
    30. Tjalling C. Koopmans, 1962. "On Flexibility of Future Preference," Cowles Foundation Discussion Papers 150, Cowles Foundation for Research in Economics, Yale University.
    31. 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 155-168, February.
    32. Andrei Bazhanov, 2012. "A Closed-Form Solution to Stollery’s Problem with Damage in Utility," Computational Economics, Springer;Society for Computational Economics, vol. 39(4), pages 365-386, April.
    33. Geir B. Asheim, 1988. "Rawlsian Intergenerational Justice as a Markov-Perfect Equilibrium in a Resource Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(3), pages 469-483.
    34. Partha Dasgupta & Geoffrey Heal, 1974. "The Optimal Depletion of Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 3-28.
    35. Mitra, Tapan, 1978. "Efficient growth with exhaustible resources in a neoclassical model," Journal of Economic Theory, Elsevier, vol. 17(1), pages 114-129, February.
    36. David Levhari & Nissan Liviatan, 1977. "Notes on Hotelling's Economics of Exhaustible Resources," Canadian Journal of Economics, Canadian Economics Association, vol. 10(2), pages 177-192, May.
    37. Long, Ngo Van, 1975. "Resource extraction under the uncertainty about possible nationalization," Journal of Economic Theory, Elsevier, vol. 10(1), pages 42-53, February.
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    Cited by:

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    3. Bazhanov, Andrei V., 2022. "A comment on Hamilton (2016) “Measuring sustainability in the UN System of Environmental-Economic Accounting”," Resources Policy, Elsevier, vol. 76(C).
    4. Ifeoluwa Adeola Ologunde & Forget Mingiri Kapingura & Kin Sibanda, 2020. "Sustainable Development and Crude Oil Revenue: A Case of Selected Crude Oil-Producing African Countries," IJERPH, MDPI, vol. 17(18), pages 1-30, September.

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    More about this item

    Keywords

    essential nonrenewable resource; sustainable growth; geometrically weighted percent; distorted economy;
    All these keywords.

    JEL classification:

    • Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development
    • Q38 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Government Policy (includes OPEC Policy)
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence
    • O13 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products

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