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On Equitable Social Welfare Functions Satisfying the Weak Pareto Axiom: A Complete Characterimplete Characterization

Ram Sewak Dubey and Tapan Mitra
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Ram Sewak Dubey: Cornell University

Working Papers from Cornell University, Center for Analytic Economics

Abstract: The paper examines the problem of aggregating infinite utility streams with a social welfare function which respects the Anonymity and Weak Pareto Axioms. It provides a complete characterization of domains (of the one period utilities) on which such an aggregation is possible. A social welfare function satisfying the Anonymity and Weak Pareto Axioms exists on precisely those domains which do not contain any set of the order type of the set of positive and negative integers. The criterion is applied to decide on possibility and impossibility results for a variety of domains. It is also used to provide an alternative formulation of the characterization result in terms of the accumulation points of the domain.

JEL-codes: D60 D70 D90 (search for similar items in EconPapers)
Date: 2010-07
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Journal Article: On equitable social welfare functions satisfying the Weak Pareto Axiom: A complete characterization (2011) Downloads
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