Continuity in Transformation Invariant Social Orderings: Two Impossibilities

Raul Fabella

No 198507, UP School of Economics Discussion Papers from University of the Philippines School of Economics

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 or R > 0 that satisfies Weak Paretoness, Invariance with respect to an Affine Transformation and Lower Semi-Continuity in trivial.

Date: 1985-06
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Published as UPSE Discussion Paper No. 1985-07, June 1985

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Journal Article: Continuity in Transformation Invariant Social Orderings: Two Impossibilities (1999)
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