Template-type: ReDif-Paper 1.0
Author-Name: Klaus Bettina 
Author-workplace-name: METEOR
Title: The Role of Replication-Invariance: Two Answers Concerning the Problem of Fair Division when Preferences are Single-Peaked
Abstract: 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 (1995a) 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.
Keywords: microeconomics ; 
Series: Research Memoranda
Creation-Date: 2007
Number: 029
File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:ea8c9545-0521-44f1-b44d-271809222c83/datastreams/ASSET1/content
File-Format: application/pdf
File-Size: 220354
Handle: RePEc:unm:umamet:2007029