Abstract
This paper studies the nature (representation and construction) of social welfare orders on infinite utility streams, satisfying strong equity and anonymity. We show: 1) there does not exist a social welfare function satisfying the axioms of Anonymity, Monotonicity and Strong Equity for every non-trivial domain Y (i.e., any domain Y containing at least four distinct elements); 2) there exists a social welfare function satisfying the axioms of Anonymity, Strong Equity (and Weak Dominance); 3) any social welfare order satisfying Anonymity and Strong Equity somehow requires the axiom of choice, so in a sense is non-constructive.
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