IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2011.06046.html
   My bibliography  Save this paper

Saturating stable matchings

Author

Listed:
  • Muhammad Maaz

Abstract

I relate bipartite graph matchings to stable matchings. I prove a necessary and sufficient condition for the existence of a saturating stable matching, where every agent on one side is matched, for all possible preferences. I extend my analysis to perfect stable matchings, where every agent on both sides is matched.

Suggested Citation

  • Muhammad Maaz, 2020. "Saturating stable matchings," Papers 2011.06046, arXiv.org, revised Mar 2021.
    • Handle: RePEc:arx:papers:2011.06046
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2011.06046
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Parag A. Pathak & Tayfun Sonmez & M. Utku Unver & M. Bumin Yenmez, 2020. "Fair Allocation of Vaccines, Ventilators and Antiviral Treatments: Leaving No Ethical Value Behind in Health Care Rationing," Papers 2008.00374, arXiv.org, revised Jul 2023.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Avataneo, Michelle & Turhan, Bertan, 2021. "Slot-specific priorities with capacity transfers," Games and Economic Behavior, Elsevier, vol. 129(C), pages 536-548.
    2. Parag A. Pathak & Harald Schmidt & Adam Solomon & Edwin Song & Tayfun Sönmez & M. Utku Ünver, 2020. "Do Black and Indigenous Communities Receive their Fair Share of Vaccines Under the 2018 CDC Guidelines?," Boston College Working Papers in Economics 1019, Boston College Department of Economics.
    3. Nikhil Vellodi & Joshua Weiss, 2021. "Optimal Vaccine Policies: Spillovers and Incentives," Working Paper 21-06, Federal Reserve Bank of Richmond.
    4. Parag Pathak & Govind Persad & Tayfun Sönmez & M Utku Ünver, 2022. "Reserve system design for allocation of scarce medical resources in a pandemic: some perspectives from the field [‘Explicit vs Statistical Targeting in Affirmative Action: Theory and Evidence from ," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 38(4), pages 924-940.
    5. Babus, Ana & Das, Sanmay & Lee, SangMok, 2020. "The Optimal Allocation of Covid-19 Vaccines," CEPR Discussion Papers 15329, C.E.P.R. Discussion Papers.
    6. Haris Aziz & Florian Brandl, 2021. "Efficient, Fair, and Incentive-Compatible Healthcare Rationing," Papers 2102.04384, arXiv.org, revised Sep 2021.
    7. Babus, Ana & Das, Sanmay & Lee, SangMok, 2023. "The optimal allocation of Covid-19 vaccines," Economics Letters, Elsevier, vol. 224(C).
    8. Liang Guo & Wendy Xu, 2023. "“We Are the World”: When More Equality Improves Efficiency and Antipandemic Consumptions Are Intervened," Marketing Science, INFORMS, vol. 42(2), pages 214-232, March.
    9. Scott Duke Kominers & Alex Tabarrok, 2022. "Vaccines and the Covid-19 pandemic: lessons from failure and success [‘Many Say They’re Confused About Whether, When to Get Second Booster’]," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 38(4), pages 719-741.
    10. Tayfun Sönmez & M. Bumin Yenmez, 2019. "Can Economic Theory be Informative for the Judiciary? Affirmative Action in India via Vertical and Horizontal Reservations," Boston College Working Papers in Economics 1026, Boston College Department of Economics, revised 23 Jun 2021.
    11. In'acio B'o & Li Chen, 2021. "Designing Heaven's Will: The job assignment in the Chinese imperial civil service," Papers 2105.02457, arXiv.org, revised Sep 2021.
    12. Tayfun Sonmez, 2023. "Minimalist Market Design: A Framework for Economists with Policy Aspirations," Papers 2401.00307, arXiv.org.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:arx:papers:2011.06046. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.