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A Note on Generalized Transfers Principle with Reduced-Form Social Welfare Functions

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Author Info

  • Mickael Beaud

    ()
    (Lameta, Université Montpellier I)

  • Stéphane Mussard

    ()
    (Lameta, Université Montpellier I and GREDI, Université de Sherbrooke, Canada)

Abstract

In most welfare analyses, especially in the literature on normative inequality measurement, it is a commonplace to assume a direct relationship between the distribution of income and social welfare. As a result, this relationship is formally summarized by a single function, called a reduced-form social welfare function. Hence, with reference to some transfer principles, normative considerations are introduced and the shape of the reduced-form is accordingly restricted. In this note, we investigate and question the relevance of this approach. After recognizing that any reduced-form social welfare function merges two elements of very different nature – individuals’ self-interested preferences over income (an empirical element) and those of the society over utilities (a normative element) – it is clear that it is problematic or at least misleading to make assumptions about the shape of the reduced-form social welfare function according to normative considerations only. However, we show that consistency can be restored whenever individuals’ preferences can be represented by completely monotone utility functions.

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File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-1106.pdf
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Bibliographic Info

Paper provided by Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke in its series Cahiers de recherche with number 11-06.

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Length: 11 pages
Date of creation: Jul 2011
Date of revision: Jul 2011
Handle: RePEc:shr:wpaper:11-06

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Keywords: Social Welfare; Inequality; Transfer Principles; Completely Monotone Utility Functions;

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