On the extension of a preorder under translation invariance

Mohamed Mabrouk ()

MPRA Paper from University Library of Munich, Germany

Abstract: This paper proves the existence, for a translation-invariant preorder on a divisible commutative group, of a complete preorder extending the preorder in question and satisfying translation invariance. We also prove that the extension may inherit a property of continuity. As an application, we prove the existence of a complete translation-invariant strict preorder on ℝ which transgresses scalar invariance and also the existence of a complete translation-invariant preorder satisfying the social choice axioms strong Pareto and fixed--step-anonymity on a set X^{ℕ₀}, where X is a divisible commutative group. Moreover, the two extension results are used to make scalar invariance appear as a consequence of translation invariance under a continuity requirement or under a Pareto axiom.

Keywords: Order extension; Translation invariance (search for similar items in EconPapers)
JEL-codes: C60 C65 D7 D71 D9 (search for similar items in EconPapers)
Date: 2018-04-19
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://mpra.ub.uni-muenchen.de/86313/1/MPRA_paper_86313.pdf original version (application/pdf)

Related works:
Working Paper: On the extension of a preorder under translation invariance (2018)
Working Paper: On the extension of a preorder under translation invariance (2009)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:86313

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Bibliographic data for series maintained by Joachim Winter ().