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Sustained development of a society with a renewable resource

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  • Cairns, Robert D.
  • Tian, Huilan

Abstract

A maximin program is applied to a policy of sustaining a simple society whose population is dependent on a resource subject to logistic growth. Regular and non-regular paths are characterized. There are continua of both regular and non-regular solutions, the type depending on the initial conditions. A non-regular path involves an intermediate part in which the sustainment constraint is not effective. All solutions are time consistent and Pareto optimal. Because a problem may not be regular, it is not valid to assume that sustainment implies constant utility.

Suggested Citation

  • Cairns, Robert D. & Tian, Huilan, 2010. "Sustained development of a society with a renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1048-1061, June.
  • Handle: RePEc:eee:dyncon:v:34:y:2010:i:6:p:1048-1061
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    References listed on IDEAS

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    1. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
    2. Avinash Dixit & Peter Hammond & Michael Hoel, 1980. "On Hartwick's Rule for Regular Maximin Paths of Capital Accumulation and Resource Depletion," Review of Economic Studies, Oxford University Press, vol. 47(3), pages 551-556.
    3. 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.
    4. Leonard, Daniel, 1981. "The signs of the co-state variables and sufficiency conditions in a class of optimal control problems," Economics Letters, Elsevier, vol. 8(4), pages 321-325.
    5. Martinet, V. & Doyen, L., 2007. "Sustainability of an economy with an exhaustible resource: A viable control approach," Resource and Energy Economics, Elsevier, vol. 29(1), pages 17-39, January.
    6. Asako, Kazumi, 1980. "Economic growth and environmental pollution under the max-min principle," Journal of Environmental Economics and Management, Elsevier, vol. 7(3), pages 157-183, September.
    7. Cairns, Robert D. & Long, Ngo Van, 2006. "Maximin: a direct approach to sustainability," Environment and Development Economics, Cambridge University Press, vol. 11(03), pages 275-300, June.
    8. d'Autume, Antoine & Schubert, Katheline, 2008. "Hartwick's rule and maximin paths when the exhaustible resource has an amenity value," Journal of Environmental Economics and Management, Elsevier, vol. 56(3), pages 260-274, November.
    9. Dasgupta, Partha, 2001. "Human Well-Being and the Natural Environment," OUP Catalogue, Oxford University Press, number 9780199247882.
    10. Solow, Robert, 1993. "An almost practical step toward sustainability," Resources Policy, Elsevier, vol. 19(3), pages 162-172, September.
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    Citations

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    Cited by:

    1. Martinet, Vincent, 2011. "A characterization of sustainability with indicators," Journal of Environmental Economics and Management, Elsevier, vol. 61(2), pages 183-197, March.
    2. Doyen, L. & Martinet, V., 2012. "Maximin, viability and sustainability," Journal of Economic Dynamics and Control, Elsevier, vol. 36(9), pages 1414-1430.
    3. Geir Asheim & Stéphane Zuber, 2013. "A complete and strongly anonymous leximin relation on infinite streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 819-834, October.
    4. Cairns, Robert D. & Martinet, Vincent, 2014. "An environmental-economic measure of sustainable development," European Economic Review, Elsevier, vol. 69(C), pages 4-17.
    5. Wei-Bin ZHANG, 2014. "Human Capital, Wealth, and Renewable Resources," Expert Journal of Economics, Sprint Investify, vol. 2(1), pages 1-20.
    6. ZHANG Wei-Bin, 2015. "Values Of Land And Renewable Resources In A Three-Sector Economic Growth Model," Studies in Business and Economics, Lucian Blaga University of Sibiu, Faculty of Economic Sciences, vol. 10(1), pages 156-186, April.
    7. Zhang Wei-Bin, 2011. "Economic Growth And Dynamics Of Renewable Resource With Housing, Agricultural And Resource Land Use," Studies in Business and Economics, Lucian Blaga University of Sibiu, Faculty of Economic Sciences, vol. 6(2), pages 151-174, August.
    8. Wei-Bin Zhang, 2017. "Growth with Endogenous Capital, Knowledge, and Renewable Resources," Romanian Statistical Review, Romanian Statistical Review, vol. 65(1), pages 19-37, March.
    9. Zhang Wei-Bin, 2013. "Habit Formation and Preference Change with Capital and Renewable Resources," Business Systems Research, De Gruyter Open, vol. 4(2), pages 108-125, December.

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