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International Journal of Game Theory

, Volume 40, Issue 2, pp 281–287 | Cite as

Corrigendum to “Resource-monotonicity for house allocation problems”

  • Lars Ehlers
  • Bettina KlausEmail author
Original Paper

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 \({\mathcal{R}_0}\) which requires that the null object is always the worst object and mention that the corresponding proofs for the larger domain \({\mathcal{R}}\) of 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 \({\mathcal{R}}\) . We also propose a way of correcting the result on the general domain \({\mathcal{R}}\) 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 \({\mathcal{R}_0}\).

Keywords

Corrigendum Indivisible objects Resource-monotonicity 

JEL Classification

D63 D70 

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References

  1. Ehlers L, Klaus B (2003) Resource-monotonicity for house allocation problems. Int J Game Theory 32: 545–560Google Scholar
  2. Pápai S (2000) Strategyproof assignment by hierarchical exchange. Econometrica 68: 1403–1433CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Département de Sciences Économiques and CIREQUniversité de MontréalMontrealCanada
  2. 2.Faculty of Business and EconomicsUniversity of LausanneLausanneSwitzerland

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