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 any preorder on a real vector space satisfying translation invariance, of a complete preorder extending the preorder and satisfying translation invariance. As application, the existence of a translation-invariant complete preorder on infinite utility streams satisfying strong Pareto and fixed-step anonymity, is established.

Keywords: Szpilrajn theorem; translation invariance (search for similar items in EconPapers)
JEL-codes: C60 D71 (search for similar items in EconPapers)
Date: 2009-05-25
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https://mpra.ub.uni-muenchen.de/15407/1/MPRA_paper_15407.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 (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:15407

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