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Fair intergenerational sharing of a natural resource

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  • d'ALBIS Hippolyte
  • AMBEC Stefan

Abstract

In this article, overlapping generations are extracting a natural resource over an infinite future. We examine the fair allocation of resource and compensations among generations. Fairness is defined by core lower bounds and aspiration upper bounds. The core lower bounds require that every coalition of generations obtains at least what it could achieve by itself. The aspiration upper bounds require that no coalition of generations enjoys a higher welfare than it would achieve if nobody else extracted the resource. We show that, upon existence, the allocation that satisfies the two fairness criteria is unique and assigns to each generation its marginal contribution to the preceding generation. Finally, we describe the dynamics of such an allocation.
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Suggested Citation

  • d'ALBIS Hippolyte & AMBEC Stefan, 2009. "Fair intergenerational sharing of a natural resource," LERNA Working Papers 09.23.299, LERNA, University of Toulouse.
  • Handle: RePEc:ler:wpaper:09.23.299
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    File URL: http://www2.toulouse.inra.fr/lerna/travaux/cahiers2009/09.23.299.pdf
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    References listed on IDEAS

    as
    1. John Roemer & Kotaro Suzumura (ed.), 2007. "Intergenerational Equity and Sustainability," International Economic Association Series, Palgrave Macmillan, number 978-0-230-23676-9, December.
    2. Ambec, Stefan & Ehlers, Lars, 2008. "Sharing a river among satiable agents," Games and Economic Behavior, Elsevier, vol. 64(1), pages 35-50, September.
    3. Ambec, Stefan & Sprumont, Yves, 2002. "Sharing a River," Journal of Economic Theory, Elsevier, vol. 107(2), pages 453-462, December.
    4. Ambec, S. & Ehlers, L., 2006. "Sharing a river among satiable countries," Working Papers 200605, Grenoble Applied Economics Laboratory (GAEL).
    5. Calvo, Guillermo A & Obstfeld, Maurice, 1988. "Optimal Time-Consistent Fiscal Policy with Finite Lifetimes," Econometrica, Econometric Society, vol. 56(2), pages 411-432, March.
    6. Ambec, S., 2006. "Sharing a common resource with concave benefits," Working Papers 200601, Grenoble Applied Economics Laboratory (GAEL).
    7. Moulin, Herve, 1990. "Uniform externalities : Two axioms for fair allocation," Journal of Public Economics, Elsevier, vol. 43(3), pages 305-326, December.
    8. Stefan Ambec, 2008. "Sharing a resource with concave benefits," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 1-13, June.
    9. 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.
    10. Marini Giancarlo & Scaramozzino Pasquale, 1995. "Overlapping Generations and Environmental Control," Journal of Environmental Economics and Management, Elsevier, vol. 29(1), pages 64-77, July.
    11. 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.
    12. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
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    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Visite guidée au coeur des travaux du Meilleur jeune économiste 2012 (2/2)
      by Matthieu Solignac in Regards croisés sur l'économie on 2012-06-11 03:05:40

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    Cited by:

    1. Gonzalez, Stéphane & Rostom, Fatma Zahra, 2022. "Sharing the global outcomes of finite natural resource exploitation: A dynamic coalitional stability perspective," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 1-10.
    2. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, September.
    3. Rodney Beard, 2011. "The river sharing problem : A review of the technical literature for policy economists," Post-Print hal-00827354, HAL.
    4. Stéphane Gonzalez & Fatma Rostom, 2019. "Sharing the Global Benefits of Finite Natural Resource Exploitation: A Dynamic Coalitional Stability Perspective," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02430751, HAL.
    5. Waqar Ahmed Wadho, 2014. "Education, Rent seeking and the Curse of Natural Resources," Economics and Politics, Wiley Blackwell, vol. 26(1), pages 128-156, March.

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