Corrigendum to "Resource-Monotonicity for House Allocation Problems"

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Serval ID
serval:BIB_778FE09A769E
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Corrigendum to "Resource-Monotonicity for House Allocation Problems"
Journal
International Journal of Game Theory
Author(s)
Ehlers L., Klaus B.
ISSN
0020-7276
Publication state
Published
Issued date
2011
Peer-reviewed
Oui
Volume
40
Number
2
Pages
281-287
Language
english
Abstract
Ehlers and Klaus (Int J Game Theory 32:545-560, 2003) study so-called allocation problems and claim to characterize all rules satisfying efficiency, independence of irrelevant objects, and resource-monotonicity on two preference domains (Ehlers and Klaus 2003, Theorem 1). They explicitly prove Theorem 1 for preference domain R(0) which requires that the null object is always the worst object and mention that the corresponding proofs for the larger domain Rf unrestricted preferences "are completely analogous." In Example 1 and Lemma 1, this corrigendum provides a counterexample to Ehlers and Klaus (2003, Theorem 1) on the general domain R We also propose a way of correcting the result on the general domain R by strengthening independence of irrelevant objects: in addition to requiring that the chosen allocation should depend only on preferences over the set of available objects (which always includes the null object), we add a situation in which the allocation should also be invariant when preferences over the null object change. Finally, we offer a short proof of the corrected result that uses the established result of Theorem 1 for the restricted domain R(0.)
Keywords
Corrigendum, Indivisible objects, Resource-monotonicity
Web of science
Open Access
Yes
Create date
21/05/2010 11:25
Last modification date
01/10/2019 7:18
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