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Fairness under Uncertainty

Author

Listed:
  • Thibault Gajdos

    (CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - X - École polytechnique - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - CNRS - Centre National de la Recherche Scientifique, EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Marc Tallon

    (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

Ever since its introduction by Foley [1967] and Varian [1974], the notion of fairness has been one of the most extensively used notion to evaluate allocations on an ethical basis. Whereas there is an extensive literature on the efficiency properties of allocations in economies with uncertainty the concept of an envy-free allocation has not been widely studied in economies with uncertainty. We introduce two very natural notions of equity in an economy under uncertainty, namely ex ante and ex post equity, show they can contradict efficiency requirements. In particular, the set of ex ante efficient and ex post envy-free allocations may be empty. We nevertheless show that, under special circumstances, one may prove the existence of allocations that are both ex ante efficient and ex post envy-free. Such is the case, in particular, in an economy with individual risk and no aggregate risk.

Suggested Citation

  • Thibault Gajdos & Jean-Marc Tallon, 2002. "Fairness under Uncertainty," Post-Print halshs-00086032, HAL.
  • Handle: RePEc:hal:journl:halshs-00086032
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00086032
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    References listed on IDEAS

    as
    1. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75, pages 765-765.
    2. Cass, David & Chichilnisky, Graciela & Wu, Ho-Mou, 1996. "Individual Risk and Mutual Insurance," Econometrica, Econometric Society, vol. 64(2), pages 333-341, March.
    3. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
    4. Malinvaud, E, 1973. "Markets for an Exchange Economy with Individual Risks," Econometrica, Econometric Society, vol. 41(3), pages 383-410, May.
    5. Myerson, Roger B, 1981. "Utilitarianism, Egalitarianism, and the Timing Effect in Social Choice Problems," Econometrica, Econometric Society, vol. 49(4), pages 883-897, June.
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    Citations

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    Cited by:

    1. de Clippel, Geoffroy, 2008. "Equity, envy and efficiency under asymmetric information," Economics Letters, Elsevier, vol. 99(2), pages 265-267, May.
    2. Achille Basile & Maria Graziano & Marialaura Pesce, 2014. "On fairness of equilibria in economies with differential information," Theory and Decision, Springer, vol. 76(4), pages 573-599, April.
    3. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.
    4. R?bert F. Veszteg, 2004. "Fairness under Uncertainty with Indivisibilities," UFAE and IAE Working Papers 613.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    5. Chiara Donnini & Maria Graziano & Marialaura Pesce, 2014. "Coalitional fairness in interim differential information economies," Journal of Economics, Springer, vol. 111(1), pages 55-68, February.
    6. Maria Laura Pesce, 2011. "Are Asymmetrically Informed Agents Envious?," CSEF Working Papers 292, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    7. Chew, Soo Hong & Sagi, Jacob S., 2012. "An inequality measure for stochastic allocations," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1517-1544.
    8. Marialaura Pesce, 2017. "Are Asymmetrically Informed Individuals Irremediably Envious?," Metroeconomica, Wiley Blackwell, vol. 68(1), pages 2-21, February.
    9. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.
    10. Miyagishima, Kaname, 2019. "Fair criteria for social decisions under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 77-87.

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    More about this item

    Keywords

    Fairness; uncerainty; envy;
    All these keywords.

    JEL classification:

    • D3 - Microeconomics - - Distribution
    • D6 - Microeconomics - - Welfare Economics

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    This paper has been announced in the following NEP Reports:

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