Metrizable preferences over preferences
Laffond, Gilbert; Laine, Jean; Sanver, Remzi (2020), Metrizable preferences over preferences, Social Choice and Welfare, 55, 1, p. 177-191. 10.1007/s00355-019-01235-0
Type
Article accepté pour publication ou publiéDate
2020Journal name
Social Choice and WelfareVolume
55Number
1Publisher
Springer
Pages
177-191
Publication identifier
Metadata
Show full item recordAuthor(s)
Laffond, GilbertMurat Sertel Center for Advanced Economic Studies [Murat Sertel Center]
Laine, Jean

Laboratoire interdisciplinaire de recherche en sciences de l'action [LIRSA]
Sanver, Remzi
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
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.Subjects / Keywords
Preferences; Neutralism; Neutrality; PropertyRelated items
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