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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, revised 01 Oct 2025.
    • 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. Carroll, Gabriel, 2014. "A general equivalence theorem for allocation of indivisible objects," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 163-177.
    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. ,, 2015. "Serial dictatorship: the unique optimal allocation rule when information is endogenous," Theoretical Economics, Econometric Society, vol. 10(2), May.
    6. Charles Blair, 1988. "The Lattice Structure of the Set of Stable Matchings with Multiple Partners," Mathematics of Operations Research, INFORMS, vol. 13(4), pages 619-628, November.
    7. 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.
    8. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

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    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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