On the extension of a preorder under translation invariance

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.

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Year of publication:	2009-05-25
Authors:	Mabrouk, Mohamed
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	Szpilrajn theorem \| translation invariance

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Classification:	D71 - Social Choice; Clubs; Committees; Associations ; C60 - Mathematical Methods and Programming. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10004992031