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Roberts' Weak Welfarism Theorem: A Minor Correction

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Author Info
Peter J. Hammond

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Abstract

September 1999

Roberts' "weak neutrality" or "weak welfarism" theorem concerns Sen social welfare functionals which are defined on an unrestricted domain of utility function profiles and satisfy independence of irrelevant alternatives, the Pareto condition, and a form of weak continuity. Roberts claimed that the induced welfare ordering on social states has a one-way representation by a continuous, monotonic real-valued function defined on the Euclidean space of interpersonal utility vectors. A counter-example shows that weak continuity is insufficient; a minor strengthening to pairwise continuity is proposed instead and its sufficiency demonstrated.

Journal of Economic Literature classification: D71

Keywords: social welfare functionals, weak welfarism.

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Paper provided by Stanford University, Department of Economics in its series Working Papers with number 99021.

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Date of creation: Sep 1999
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Handle: RePEc:wop:stanec:99021

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Related research
Keywords: social welfare functionals; weak welfarism;

Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. John A. Weymark & Kai-yuen Tsui, 1997. "Social welfare orderings for ratio-scale measurable utilities," Economic Theory, Springer, vol. 10(2), pages 241-256. [Downloadable!] (restricted)
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  2. Mongin, P & d'Aspremont, C, 1996. "Utility Theory and Ethics," Papers 9632, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    Other versions:
  3. Blackorby, Charles & Donaldson, David, 1982. "Ratio-Scale and Translation-Scale Full Interpersonal Comparability without Domain Restrictions: Admissible Social-Evaluation Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 249-68, June.
  4. Georges Bordes & Peter J. Hammond & Michel Le Breton, 2005. "Social Welfare Functionals on Restricted Domains and in Economic Environments," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(1), pages 1-25, 02. [Downloadable!] (restricted)
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  5. Roberts, Kevin, 1983. "Social choice rules and real-valued representations," Journal of Economic Theory, Elsevier, vol. 29(1), pages 72-94, February. [Downloadable!] (restricted)
  6. Walter Bossert & John A. Weymark, . "Utility in Social Choice," Old UBC Departmental Papers 9623, UBC Department of Economics. [Downloadable!]
  7. Blackorby, Charles & Donaldson, David & Weymark, John A, 1984. "Social Choice with Interpersonal Utility Comparisons: A Diagrammatic Introduction," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(2), pages 327-56, June.
  8. Roberts, Kevin W S, 1980. "Interpersonal Comparability and Social Choice Theory," Review of Economic Studies, Blackwell Publishing, vol. 47(2), pages 421-39, January. [Downloadable!] (restricted)
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  1. Georges Bordes & Peter J. Hammond & Michel Le Breton, 1997. "Social Welfare Functionals on Restricted Domains and in Economic Environments," Working Papers 97023, Stanford University, Department of Economics. [Downloadable!]
    Other versions:
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