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Metrizable preferences over preferences

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Date
2020
Dewey
Recherche opérationnelle
Sujet
Preferences; Neutralism; Neutrality; Property
Journal issue
Social Choice and Welfare
Volume
55
Number
1
Publication date
06-2020
Article pages
177-191
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s00355-019-01235-0
URI
https://basepub.dauphine.fr/handle/123456789/21416
Collections
  • LAMSADE : Publications
Metadata
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Author
Laffond, Gilbert
491794 Murat Sertel Center for Advanced Economic Studies
Laine, Jean
186209 Laboratoire interdisciplinaire de recherche en sciences de l'action [LIRSA]
Sanver, Remzi
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Type
Article accepté pour publication ou publié
Abstract (EN)
A hyper-preference is a weak order over all linear orders defined over a finite set A of alternatives. An extension rule associates with each linear order p over A a hyper-preference. The well-known Kemeny extension rule ranks all linear orders over A according to their Kemeny distance to p. More generally, an extension rule is metrizable iff it extends p to a hyper-preference consistent with a distance criterion. We characterize the class of metrizable extension rules by means of two properties, namely self-consistency and acyclicity across orders. Moreover, we provide a characterization of neutral and metrizable extension rules, based on a simpler formulation of acyclicity across orders. Furthermore, we establish the logical incompatibility between neutrality, metrizability and strictness. However, we show that these three conditions are pairwise logically compatible.

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