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Maximal sensitivity under Strong Anonymity

Author

Listed:
  • Geir Asheim

    (UiO - University of Oslo)

  • Kohei Kamaga

    (Sophia University [Tokyo])

  • Stéphane Zuber

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper re-examines the incompatibility of Strong Pareto, as an axiom of sensitivity, and Strong Anonymity, as an axiom of impartiality, when comparing well-being profiles with a countably infinite number of components. We ask how far the Paretian principle can be extended without contradicting Strong Anonymity. We show that Strong Anonymity combined with four auxiliary axioms has two consequences: (i) There is sensitivity for an increase in one well-being component if and only if a co-finite set of other well-being components are at least ɛ (>0) higher, and (ii) adding people to an infinite population cannot have positive social value.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Geir Asheim & Kohei Kamaga & Stéphane Zuber, 2022. "Maximal sensitivity under Strong Anonymity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03856615, HAL.
    • Handle: RePEc:hal:cesptp:halshs-03856615
    DOI: 10.1016/j.jmateco.2022.102768
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03856615
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    References listed on IDEAS

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