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Random mechanisms for house allocation with existing tenants

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  • Ekici, Özgün

Abstract

We study the house allocation problem with existing tenants: n houses (stand for “indivisible objects”) are to be allocated to n agents; each agent needs exactly one house and has strict preferences; k houses are initially unowned; k agents initially do not own houses; the remaining n−k agents (the so-called “existing tenants”) initially own the remaining n−k houses (each owns one). In this setting, we consider various randomized allocation rules under which voluntary participation of existing tenants is assured and the randomization procedure either treats agents equally or discriminates against some (or all) of the existing tenants. We obtain two equivalence results, which generalize the equivalence results in Abdulkadiroğlu and Sönmez (1999) and Sönmez and Ünver (2005).

Suggested Citation

  • Ekici, Özgün, 2020. "Random mechanisms for house allocation with existing tenants," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 53-65.
    • Handle: RePEc:eee:mateco:v:89:y:2020:i:c:p:53-65
    DOI: 10.1016/j.jmateco.2020.05.003
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    1. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
    2. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 457-488.
    3. Sonmez, Tayfun & Utku Unver, M., 2005. "House allocation with existing tenants: an equivalence," Games and Economic Behavior, Elsevier, vol. 52(1), pages 153-185, July.
    4. , A. & ,, 2011. "Lotteries in student assignment: An equivalence result," Theoretical Economics, Econometric Society, vol. 6(1), January.
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    6. Sönmez, Tayfun & Ünver, M. Utku, 2010. "House allocation with existing tenants: A characterization," Games and Economic Behavior, Elsevier, vol. 69(2), pages 425-445, July.
    7. Ekici, Özgün, 2013. "Reclaim-proof allocation of indivisible objects," Games and Economic Behavior, Elsevier, vol. 81(C), pages 1-10.
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    15. Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
    16. Carroll, Gabriel, 2014. "A general equivalence theorem for allocation of indivisible objects," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 163-177.
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    Cited by:

    1. Tamura, Yuki & Hosseini, Hadi, 2022. "The crawler: Three equivalence results for object (re)allocation problems when preferences are single-peaked," Journal of Economic Theory, Elsevier, vol. 203(C).

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    More about this item

    Keywords

    House allocation with existing tenants; House allocation; Housing market; Equivalence of mechanisms;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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