Continuity in Transformation Invariant Social Orderings: Two Impossibilities

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.

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Year of publication:	1985-06
Authors:	Fabella, Raul V.
Institutions:	School of Economics, University of the Philippines at Diliman

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Series:	UP School of Economics Discussion Papers.
Type of publication:	Book / Working Paper
Notes:	Published as UPSE Discussion Paper No. 1985-07, June 1985 Number 198507
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010856090