Document Type

Preprint

Publication Date

5-1-2021

Journal / Book Title

Mathematical Social Sciences

Abstract

We study the nature (constructive versus non-constructive) and the issue of real-valued representability of social welfare orders, on the set of infinite utility streams, satisfying the anonymity and asymptotic density-one Pareto axioms. We characterize the existence of representable and constructive social welfare orders (fulfilling the aforementioned axioms) in terms of easily verifiable conditions on the feasible set of one-period utilities, denoted by Y⊂R: a social welfare order satisfying anonymity and asymptotic density-one Pareto is representable and admits explicit description if and only if Y contains finitely many elements.

DOI

10.1016/j.mathsocsci.2021.03.002

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