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Preservation and exogenous uncertain future preferences

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  • Alain Ayong Le Kama

    (Commissariat général du Plan and EUREQua, Université de Paris I, Maison des Sciences Economiques, 106-112 bd de l'Hôpital, 75647 Paris Cedex 13, FRANCE)

Abstract

We extend the Beltratti, Chichilnisky and Heal's (1993) and (1998) continuous-time stochastic dynamic framework to analyze the optimal depletion of an asset whose consumption is irreversible, in the face of uncertainty about future preferences. Their model is rather general and so the results are general qualitative theorems. We show that in some interesting cases it is possible to solve their model analytically. The cases involve constant elasticity utility functions and the assumption of a Poisson process for the evolution of preferences.

Suggested Citation

  • Alain Ayong Le Kama, 2001. "Preservation and exogenous uncertain future preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 745-752.
    • Handle: RePEc:spr:joecth:v:18:y:2001:i:3:p:745-752
    Note: Received: September 13, 1999; revised version: November 23, 1999
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    Cited by:

    1. Alain Le Kama & Katheline Schubert, 2004. "Growth, Environment and Uncertain Future Preferences," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 28(1), pages 31-53, May.
    2. Fleurbaey, Marc & Zuber, Stéphane, 2025. "Universal social welfare orderings and risk," Journal of Economic Theory, Elsevier, vol. 226(C).
    3. Svenja Hector, 2013. "Accounting for Different Uncertainties: Implications for Climate Investments?," Working Papers 2013.107, Fondazione Eni Enrico Mattei.
    4. Emmanuelle Augeraud-V'eron & Daria Ghilli & Fausto Gozzi & Marta Leocata, 2025. "Optimal policies for environmental assets under spatial heterogeneity and global awareness," Papers 2510.21397, arXiv.org.
    5. Ayong Le Kama, Alain & Fodha, Mouez & Lafforgue, Gilles, 2009. "Optimal Carbon Capture and Storage Policies," TSE Working Papers 09-095, Toulouse School of Economics (TSE).
    6. El Hadji Fall, 2006. "The Worst-Case Scenario and Discounting the Very Long Term," Cahiers de la Maison des Sciences Economiques v06005, Université Panthéon-Sorbonne (Paris 1).
    7. Susanne Soretz, 2003. "Stochastic Pollution and Environmental Care in an Endogenous Growth Model," Manchester School, University of Manchester, vol. 71(4), pages 448-469, July.
    8. Nkuiya, Bruno & Costello, Christopher, 2016. "Pollution control under a possible future shift in environmental preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 132(PB), pages 193-205.
    9. Frank Krysiak, 2009. "Risk Management as a Tool for Sustainability," Journal of Business Ethics, Springer, vol. 85(3), pages 483-492, April.
    10. Loek Groot, 2004. "La consommation de ressources environnementales en incertitude," Recherches économiques de Louvain, De Boeck Université, vol. 70(3), pages 255-286.
    11. Higashi, Youichiro & Hyogo, Kazuya & Takeoka, Norio, 2014. "Stochastic endogenous time preference," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 77-92.
    12. Frank Krysiak, 2009. "Sustainability and its relation to efficiency under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(2), pages 297-315, November.
    13. Donatella Baiardi & Mario Menegatti, 2011. "Pigouvian tax, abatement policies and uncertainty on the environment," Journal of Economics, Springer, vol. 103(3), pages 221-251, July.
    14. Svenja Hector(), "undated". "Accounting for Different Uncertainties: Implications for Climate Investments?," Working Papers ETH-RC-13-007, ETH Zurich, Chair of Systems Design.
    15. Alain AYONG LE KAMA, 2004. "La consommation de ressources environnementales en incertitude," Discussion Papers (REL - Recherches Economiques de Louvain) 2004031, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    16. Alain Ayong Le Kama & Aude Pommeret & Fabien Prieur, 2014. "Optimal Emission Policy under the Risk of Irreversible Pollution," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(6), pages 959-980, December.
    17. Alain Ayong Le Kama & Mouez Fodha, 2008. "Optimal nuclear waste burial policy under uncertainty," Documents de travail du Centre d'Economie de la Sorbonne v08092, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    18. Ngo Van Long, 2019. "Managing, Inducing, and Preventing Regime Shifts: A Review of the Literature," CESifo Working Paper Series 7749, CESifo.
    19. Alain Ayong Le Kama & Mouez Fodha, 2009. "Stockage des déchets radioactifs et incertitude," Economie & Prévision, La Documentation Française, vol. 0(4), pages 39-52.
    20. Alain Ayong Le Kama, 2001. "Preservation and exogenous uncertain future preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 745-752.

    More about this item

    Keywords

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    JEL classification:

    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity
    • Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation

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