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House Allocation via Deferred-Acceptance

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  • Lars Ehlers
  • Bettina Klaus

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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Bibliographic Info

Paper provided by Université de Lausanne, Faculté des HEC, DEEP in its series Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) with number 13.10.

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Length: 13 pp.
Date of creation: Jul 2013
Date of revision:
Handle: RePEc:lau:crdeep:13.10

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Postal: Université de Lausanne, Faculté des HEC, DEEP, Internef, CH-1015 Lausanne
Phone: ++41 21 692.33.64
Fax: ++41 21 692.33.05
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Web page: http://www.hec.unil.ch/deep/publications/cahiers/series
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Related research

Keywords: deferred-acceptance-algorith; indivisible objects allocation; resource-monotonicity; strategy-proofness;

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References

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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. 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.
  3. 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).
  4. EHLERS, Lars & KLAUS, Bettina, 2005. "Consistent House Allocation," Cahiers de recherche 08-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  5. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
  6. Bettina Klaus & Lars Ehlers, 2009. "Corrigendum to "Resource-Monotonicity for House Allocation Problems"," Harvard Business School Working Papers 09-110, Harvard Business School.
  7. Fuhito Kojima & Mihai Manea, 2010. "Axioms for Deferred Acceptance," Econometrica, Econometric Society, vol. 78(2), pages 633-653, 03.
  8. Thayer Morrill, 2013. "An alternative characterization of the deferred acceptance algorithm," International Journal of Game Theory, Springer, vol. 42(1), pages 19-28, February.
  9. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
  10. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
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