Continuity in Transformation Invariant Social Orderings: Two Impossibilities

Raul Fabella

Philippine Review of Economics, 1999, vol. 36, issue 1, 14-21

Abstract: We show that (1) a social ordering on R >= 0 that satisfies Strong Paretoness, Invariance with respect to a Positive Proportional Transformation and Lower Semi-Continuity does not exist and (2) that a social ordering on R > 0 that satisfies Weak Paretoness, Invariance with respect to an Affine Transformation and Lower Semi-Continuity is trivial.

Date: 1999
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Working Paper: Continuity in Transformation Invariant Social Orderings: Two Impossibilities (1985)
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