Euclidean preferences

Anna Bogomolnaia and Jean-François Laslier

Working Papers from HAL

Abstract: This note is devoted to the question: How restrictive is the assumption that preferences be Euclidean in d dimensions. In particular it is proven that a preference profile with I individuals and A alternatives can be represented by Euclidean utilities with d dimensions if and only if d=min(I,A-1). The paper also describes the systems of A points which allow for the representation of any profile over A alternatives, and provides some results when only strict preferences are considered.

Keywords: Utility; Collective choice; Utilité; Préferences; Choix collectif (search for similar items in EconPapers)
Date: 2004
Note: View the original document on HAL open archive server: https://hal.science/hal-00242941
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Citations: View citations in EconPapers (1)

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Related works:
Journal Article: Euclidean preferences (2007)
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