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Matching under Non-transferable Utility: Theory

Author

Listed:
  • Tayfun Sönmez

    (Boston College)

  • M. Utku Ünver

    (Boston College)

Abstract

We survey the literature on matching theory under non-transferable utility using a classification based on property rights (i) with private ownership, (ii) with common and mixed ownership, and (iii) under priority-based entitlements.

Suggested Citation

  • Tayfun Sönmez & M. Utku Ünver, 2024. "Matching under Non-transferable Utility: Theory," Boston College Working Papers in Economics 1068, Boston College Department of Economics.
    • Handle: RePEc:boc:bocoec:1068
    as

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    References listed on IDEAS

    as
    1. Tamás Fleiner, 2003. "A Fixed-Point Approach to Stable Matchings and Some Applications," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 103-126, February.
    2. Heo, Eun Jeong & Yılmaz, Özgür, 2015. "A characterization of the extended serial correspondence," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 102-110.
    3. ,, 2015. "Serial dictatorship: the unique optimal allocation rule when information is endogenous," Theoretical Economics, Econometric Society, vol. 10(2), May.
    4. Klaus, Bettina, 2008. "The coordinate-wise core for multiple-type housing markets is second-best incentive compatible," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 919-924, September.
    5. Jens Gudmundsson, 2014. "When do stable roommate matchings exist? A review," Review of Economic Design, Springer;Society for Economic Design, vol. 18(2), pages 151-161, June.
    6. Katta, Akshay-Kumar & Sethuraman, Jay, 2006. "A solution to the random assignment problem on the full preference domain," Journal of Economic Theory, Elsevier, vol. 131(1), pages 231-250, November.
    7. 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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    More about this item

    Keywords

    Matching Theory; Housing Markets; Two-sided Matching; Roommates Problem; Kidney Exchange; House Allocation; Student Placement; Reserve Systems;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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