On the extension of a preorder under translation invariance

Mabrouk, Mohamed (2009): On the extension of a preorder under translation invariance.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Szpilrajn theorem; translation invariance
• Subjects: D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60 - General

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