IDEAS home Printed from https://ideas.repec.org/a/oup/restud/v88y2021i3p1457-1502..html
   My bibliography  Save this article

Stability, Strategy-Proofness, and Cumulative Offer Mechanisms
[Stability and Incentives for College Admissions with Budget Constraints]

Author

Listed:
  • John William Hatfield
  • Scott Duke Kominers
  • Alexander Westkamp

Abstract

We characterize when a stable and strategy-proof mechanism is guaranteed to exist in the setting of many-to-one matching with contracts. We introduce three novel conditions—observable substitutability, observable size monotonicity, and non-manipulability via contractual terms—and show that when these conditions are satisfied, the cumulative offer mechanism is the unique mechanism that is stable and strategy-proof (for workers). Moreover, we show that our three conditions are, in a sense, necessary: if the choice function of some firm fails any of our three conditions, we can construct unit-demand choice functions for the other firms such that no stable and strategy-proof mechanism exists. Thus, our results provide a rationale for the ubiquity of cumulative offer mechanisms in practice.

Suggested Citation

  • John William Hatfield & Scott Duke Kominers & Alexander Westkamp, 2021. "Stability, Strategy-Proofness, and Cumulative Offer Mechanisms [Stability and Incentives for College Admissions with Budget Constraints]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(3), pages 1457-1502.
    • Handle: RePEc:oup:restud:v:88:y:2021:i:3:p:1457-1502.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/restud/rdaa052
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhou, Yu & Serizawa, Shigehiro, 2023. "Multi-object auction design beyond quasi-linearity: Leading examples," Games and Economic Behavior, Elsevier, vol. 140(C), pages 210-228.
    2. Mackenzie, Andrew & Zhou, Yu, 2022. "Menu mechanisms," Journal of Economic Theory, Elsevier, vol. 204(C).
    3. Zhang, Jun, 2023. "Strategy-proof allocation with outside option," Games and Economic Behavior, Elsevier, vol. 137(C), pages 50-67.
    4. Avataneo, Michelle & Turhan, Bertan, 2021. "Slot-specific priorities with capacity transfers," Games and Economic Behavior, Elsevier, vol. 129(C), pages 536-548.
    5. Hafalir, Isa E. & Kojima, Fuhito & Yenmez, M. Bumin, 2022. "Interdistrict school choice: A theory of student assignment," Journal of Economic Theory, Elsevier, vol. 201(C).
    6. Kyle Greenberg & Parag A. Pathak & Tayfun Sönmez, 2024. "Redesigning the US Army's Branching Process: A Case Study in Minimalist Market Design," American Economic Review, American Economic Association, vol. 114(4), pages 1070-1106, April.
    7. Yi-You Yang, 2023. "Firm-quasi-stability and re-equilibration in matching markets with contracts," Papers 2305.17948, arXiv.org, revised Jul 2023.
    8. Bando, Keisuke & Hirai, Toshiyuki & Zhang, Jun, 2021. "Substitutes and stability for many-to-many matching with contracts," Games and Economic Behavior, Elsevier, vol. 129(C), pages 503-512.
    9. Tsuyoshi Adachi & Yuki Ishibashi, 2022. "Stability and strategy-proofness for matching with interval constraints," Working Papers 2124, Waseda University, Faculty of Political Science and Economics.
    10. Battal Dou{g}an & Kenzo Imamura & M. Bumin Yenmez, 2022. "Market Design with Deferred Acceptance: A Recipe for Policymaking," Papers 2209.06777, arXiv.org.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:oup:restud:v:88:y:2021:i:3:p:1457-1502.. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Oxford University Press (email available below). General contact details of provider: https://academic.oup.com/restud .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.