Corrigendum to "Resource-Monotonicity for House Allocation Problems"
Ehlers and Klaus (2003) study so-called house 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 R0 which requires that the null object is always the worst object and mention that the corresponding proofs for the larger domain R of unrestricted preferences "are completely analogous." Quesada (2009) in a recent working paper claims to have found a counterexample that shows that Theorem 1 is not correct on the unrestricted domain R. In Lemma 1, we prove that Quesada's (2009) example in not a counterexample to Ehlers and Klaus (2003, Theorem 1). However, in Example 1 and Lemma 2, we demonstrate how to adjust Quesada's (2009) original idea to indeed establish a counterexample to Ehlers and Klaus (2003, Theorem 1) on the general domain R. Quesada (2009) also proposes a way of correcting the result on the general domain R by strengthening independence of irrelevant objects in two ways: 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), he adds two situations in which the allocation should also be invariant when preferences over the null object change. We here demonstrate that it is sufficient to require only one of Quesada's (2009) additional independence requirements to reestablish the result of Theorem 1 on the general domain R. Finally, while Quesada (2009) essentially replicates the original proofs of Ehlers and Klaus (2003) using his stronger independence condition, here we offer a short proof that uses the established result of Theorem 1 for the restricted domain R0.
|Date of creation:||Mar 2009|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.hbs.edu/
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:hbs:wpaper:09-110. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Soebagio Notosoehardjo)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.