Titre
The Role of Replication-Invariance: Two Answers Concerning the Problem of Fair Division when Preferences are Single-Peaked
Type
article
Institution
UNIL/CHUV/Unisanté + institutions partenaires
Périodique
Auteur(s)
Klaus, B.
Auteure/Auteur
Liens vers les personnes
Liens vers les unités
ISSN
1935-1704
Statut éditorial
Publié
Date de publication
2010
Volume
10
Numéro
1
Première page
NA
Peer-reviewed
Oui
Langue
anglais
Notes
Contributions, Article 14
Résumé
We consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. A rule that has played a central role in the previous analysis of the problem is the so-called uniform rule. Thomson (1995b) proved that the uniform rule is the only rule satisfying Pareto optimality, no-envy, one-sided population-monotonicity, and replication-invariance. Replacing one-sided population-monotonicity by one-sided replacement-domination yields another characterization of the uniform rule (Thomson, 1997a). Until now, the independence of replication-invariance from the other properties in these characterizations was an open problem. In this note we prove this independence by means of a single example.
PID Serval
serval:BIB_9E52FDE9FD2B
Date de création
2010-03-16T10:25:02.609Z
Date de création dans IRIS
2025-05-21T01:46:53Z