Social Welfare Functionals on Restricted Domains and in Economic Environments

Georges Bordes, Peter Hammond and Michel Le Breton

Working Papers from Stanford University, Department of Economics

Abstract: March 1997

Arrow's ``impossibility'' and similar classical theorems are usually proved for an unrestricted domain of preference profiles. Recent work extends Arrow's theorem to various restricted but ``saturating'' domains of privately oriented, continuous, (strictly) convex, and (strictly) monotone ``economic preferences'' for private and/or public goods. For strongly saturating domains of more general utility profiles, this paper provides similar extensions of Wilson's theorem and of the strong and weak ``welfarism'' results due to d'Aspremont and Gevers and to Roberts. Hence, for social welfare functionals with or without interpersonal comparisons of utility, most previous classification results in social choice theory apply equally to strongly saturating economic domains.

Journal of Economic Literature classification: D71.

Keywords: social welfare functionals, Arrow's theorem, Wilson's theorem, welfarism, neutrality, restricted domains, economic domains, economic environments.

Keywords: social welfare functionals; Arrow's theorem; Wilson's theorem; welfarism; neutrality; restricted domains; economic domains; economic environments (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 1997-03
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Related works:
Journal Article: Social Welfare Functionals on Restricted Domains and in Economic Environments (2005)
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