Roberts' Weak Welfarism Theorem: A Minor Correction
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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- Mongin, P & d'Aspremont, C, 1996.
"Utility Theory and Ethics,"
9632, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- P. Mongin & C. d'Aspremont, 1996. "Utility theory and ethics," THEMA Working Papers 96-32, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- MONGIN, Philippe & d ASPREMONT, Claude, 1996. "Utility theory and ethics," CORE Discussion Papers 1996063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- MONGIN, Philippe & d'ASPREMONT, Claude, . "Utility theory and ethics," CORE Discussion Papers RP -1423, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Roberts, Kevin W S, 1980. "Interpersonal Comparability and Social Choice Theory," Review of Economic Studies, Wiley Blackwell, vol. 47(2), pages 421-39, January.
- John A. Weymark & Kai-yuen Tsui, 1997. "Social welfare orderings for ratio-scale measurable utilities," Economic Theory, Springer, vol. 10(2), pages 241-256.
- Roberts, Kevin, 1983. "Social choice rules and real-valued representations," Journal of Economic Theory, Elsevier, vol. 29(1), pages 72-94, February.
- Georges Bordes & Peter J. Hammond & Michel Le Breton, 1997.
"Social Welfare Functionals on Restricted Domains and in Economic Environments,"
97023, Stanford University, Department of Economics.
- 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.
- 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.
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