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House Allocation via Deferred-Acceptance

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  • EHLERS, Lars
  • KLAUS, Bettina

Abstract

We study the simple model of assigning indivisible and heterogenous objects (e.g., houses, jobs, offices, etc.) to agents. Each agent receives at most one object and monetary compensations are not possible. For this model, known as the house allocation model, we characterize the class of rules satisfying unavailable object invariance, individual rationality, weak non-wastefulness, resource-monotonicity, truncation invariance, and strategy-proofness: any rule with these properties must allocate objects based on (implicitly induced) objects' priorities over agents and the agent-proposing deferred-acceptance-algorithm.

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File URL: https://papyrus.bib.umontreal.ca/xmlui/handle/1866/9777
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Bibliographic Info

Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2013-05.

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Length: 14 pages
Date of creation: 2013
Date of revision:
Handle: RePEc:mtl:montde:2013-05

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Keywords: Deferred-acceptance-algorithm; indivisible objects allocation; resource-monotonicity; strategy-proofness;

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  1. Crawford, Vincent P., 1991. "Comparative statics in matching markets," Journal of Economic Theory, Elsevier, vol. 54(2), pages 389-400, August.
  2. Ehlers,Lars & Klaus,Bettina, 2005. "Consistent House Allocation," Research Memorandum 007, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. Lars Ehlers & Bettina Klaus, 2011. "Corrigendum to “Resource-monotonicity for house allocation problems”," International Journal of Game Theory, Springer, vol. 40(2), pages 281-287, May.
  4. Lars Ehlers & Bettina Klaus, 2003. "Resource-Monotonicity for House Allocation Problems," UFAE and IAE Working Papers 566.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  5. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  6. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
  7. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
  8. Onur Kesten, 2009. "Coalitional strategy-proofness and resource monotonicity for house allocation problems," International Journal of Game Theory, Springer, vol. 38(1), pages 17-21, March.
  9. Fuhito Kojima & Mihai Manea, 2010. "Axioms for Deferred Acceptance," Econometrica, Econometric Society, vol. 78(2), pages 633-653, 03.
  10. Thayer Morrill, 2013. "An alternative characterization of the deferred acceptance algorithm," International Journal of Game Theory, Springer, vol. 42(1), pages 19-28, February.
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