Fairness under Uncertainty

Thibault Gajdos () and Jean-Marc Tallon
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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 - IP Paris - Institut Polytechnique de Paris - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - IP Paris - Institut Polytechnique de Paris - 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

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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.

Keywords: Fairness; uncerainty; envy (search for similar items in EconPapers)
Date: 2002
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00086032v1
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Citations: View citations in EconPapers (14)

Published in Economics Bulletin, 2002, 4 (18), pp.1-7

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Journal Article: Fairness under Uncertainty (2002)
Working Paper: Fairness under Uncertainty (2002)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00086032

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