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Continuity in Transformation Invariant Social Orderings: Two Impossibilities

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  • Raul V. Fabella

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

Suggested Citation

  • Raul V. Fabella, 1999. "Continuity in Transformation Invariant Social Orderings: Two Impossibilities," Philippine Review of Economics, University of the Philippines School of Economics and Philippine Economic Society, vol. 36(1), pages 14-21, June.
    • Handle: RePEc:phs:prejrn:v:36:y:1999:i:1:p:14-21
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    File URL: http://pre.econ.upd.edu.ph/index.php/pre/article/view/61/521
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