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Economic Theory

, Volume 30, Issue 3, pp 561–574 | Cite as

Consistent House Allocation

  • Lars Ehlers
  • Bettina KlausEmail author
Open Access
Research Article

Abstract

In practice we often face the problem of assigning indivisible objects (e.g., schools, housing, jobs, offices) to agents (e.g., students, homeless, workers, professors) when monetary compensations are not possible. We show that a rule that satisfies consistency, strategy-proofness, and efficiency must be an efficient generalized priority rule; i.e., it must adapt to an acyclic priority structure, except – maybe – for up to three agents in each object’s priority ordering.

Keywords

Indivisible objects Priority structure Consistency Strategy-proofness 

JEL Classification Numbers

D63 D70 

References

  1. Abdulkadiroğlu A., Sönmez T. (1998). Random serial dictatorship and the core from random endowments in house allocation problems. Econometrica 66:689–701CrossRefGoogle Scholar
  2. Abdulkadiroğlu A., Sönmez T. (1999). House allocation with existing tenants. J Econ Theory 88:233–260CrossRefGoogle Scholar
  3. Abdulkadiroğlu A., Sönmez T. (2003). School choice: a mechanism design approach. Am Econ Rev 93:729–747CrossRefGoogle Scholar
  4. Balinski M., Sönmez T. (1999). A tale of two mechanisms: student placement. J Econ Theory 84:73–94CrossRefGoogle Scholar
  5. Bogomolnaia A., Deb R., Ehlers L. (2005). Strategy-proof assignment on the full preference domain. J Econ Theory 123: 161–186CrossRefGoogle Scholar
  6. Bogomolnaia A., Moulin H. (2001). A new solution to the random assignment problem. J Econ Theory 100:295–328CrossRefGoogle Scholar
  7. Chambers C.P. (2004). Consistency in the probabilistic assignment model. J Math Econ 40:953–962CrossRefGoogle Scholar
  8. Ehlers L. (2002). Coalitional strategy-proof house allocation. J Econ Theory 105:298–317CrossRefGoogle Scholar
  9. Ehlers L., Klaus B. (2003). Resource-monotonic house allocation. Int J Game Theory 32:545–560Google Scholar
  10. Ehlers, L., Klaus, B.: Efficient priority rules. Games Econ Behav (forthcoming) (2005)Google Scholar
  11. Ehlers L., Klaus B., Pápai S. (2002). Strategy-proofness and population-monotonicity for house allocation problems. J Math Econ 83:329–339CrossRefGoogle Scholar
  12. Ergin H.İ. (2000). Consistency in house allocation problems. J Math Econ 34:77–97CrossRefGoogle Scholar
  13. Ergin H.İ. (2002). Efficient resource allocation on the basis of priorities. Econometrica 70:2489–2497CrossRefGoogle Scholar
  14. Gale D., Shapley L.S. (1962). College admissions and the stability of marriage. Am Math Mon 69:9–15CrossRefGoogle Scholar
  15. Kesten, O.: On two competing mechanisms for priority based allocation problems. J Econ Theory (forthcoming) (2004a)Google Scholar
  16. Kesten, O.: Coalitional strategy-proofness and resource monotonicity for house allocation problems. Working Paper (2004b)Google Scholar
  17. Miyagawa E. (2001). House allocation with transfers. J Econ Theory 100:329–355CrossRefGoogle Scholar
  18. Ohseto, S.: Characterizations of strategy-proof and fair mechanisms for allocating indivisible goods. Econ Theory (forthcoming) (2005)Google Scholar
  19. Pápai S. (2000). Strategyproof assignment by hierarchical exchange. Econometrica 68:1403–1433CrossRefGoogle Scholar
  20. Schummer J. (2000). Eliciting preferences to assign positions and compensation. Games Econ Behav 30:293–318CrossRefGoogle Scholar
  21. Svensson L.-G. (1999). Strategy-proof allocation of indivisible goods. Soc Choice Welfare 16:557–567CrossRefGoogle Scholar
  22. Svensson, L.-G.: Strategy-proof and fair wages. Working Paper (2004)Google Scholar
  23. Svenson L.-G., Larsson B. (2002). Strategy-proof and nonbossy allocation of indivisible goods and money. Econ Theory 20: 483–502CrossRefGoogle Scholar
  24. Thomson W. (2003). On monotonicity in economies with indivisible goods. Soc Choice Welfare 21:195–205CrossRefGoogle Scholar
  25. Thomson, W.: Consistency and its converse. Working Paper (2004)Google Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Département de Sciences Économiques and CIREQUniversité de MontréalMontréalCanada
  2. 2.Department of EconomicsMaastricht UniversityMaastrichtThe Netherlands

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