IDEAS home Printed from https://ideas.repec.org/p/cor/louvrp/2476.html

On Gale and Shapley "college admissions and the stability of marriage"

Author

Listed:
  • GABSZEWICZ, Jean. J.
  • GARCIA, Filomena
  • PAIS, Joana
  • RESENDE, Joana

Abstract

In this note, we start to claim that established marriages can be heavily destabilized when the population of existing couples is enriched by the arrival of new candidates to marriage. Afterwards, we discuss briefly how stability concepts can be extended to account for entry and exit phenomena affecting the composition of the marriage market.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • GABSZEWICZ, Jean. J. & GARCIA, Filomena & PAIS, Joana & RESENDE, Joana, 2012. "On Gale and Shapley "college admissions and the stability of marriage"," LIDAM Reprints CORE 2476, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2476
    DOI: 10.4236/tel.2012.23054
    Note: In : Theoretical Economics Letters, 2012(2), 291-293, 2012
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Ismail Saglam, 2020. "Measuring external stability in one-to-one matching," Economics Bulletin, AccessEcon, vol. 40(1), pages 234-247.
    2. Salonen, Hannu & Salonen, Mikko A.A., 2018. "Mutually best matches," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 42-50.
    3. Saglam, Ismail, 2019. "Measuring the External Stability of the One-to-One Matching Generated by the Deferred Acceptance Algorithm," MPRA Paper 91472, University Library of Munich, Germany.

    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. Raïssa-Juvette Samba Zitou & Rhonya Adli, 2012. "Quasi stable outcomes in the assignment game," Theory and Decision, Springer, vol. 72(3), pages 323-340, March.
    2. Francis Bloch & David Cantala, 2013. "Markovian assignment rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 1-25, January.
    3. Mustafa Oğuz Afacan & Eray Cumbul, 2025. "Waitlist engineering in discrete object allocations with outside option," International Journal of Game Theory, Springer;Game Theory Society, vol. 54(1), pages 1-22, June.
    4. Hatfield, John William & Kominers, Scott Duke, 2013. "Vacancies in supply chain networks," Economics Letters, Elsevier, vol. 119(3), pages 354-357.
    5. Elette Boyle & Federico Echenique, 2009. "Sequential entry in many-to-one matching markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(1), pages 87-99, June.
    6. Wu, Qingyun & Roth, Alvin E., 2018. "The lattice of envy-free matchings," Games and Economic Behavior, Elsevier, vol. 109(C), pages 201-211.
    7. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    8. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    9. Ágoston, Kolos Csaba & Biró, Péter & Szántó, Richárd, 2018. "Stable project allocation under distributional constraints," Operations Research Perspectives, Elsevier, vol. 5(C), pages 59-68.
    10. repec:aep:anales:4498 is not listed on IDEAS
    11. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2015. "Decentralized matching: The role of commitment," Games and Economic Behavior, Elsevier, vol. 92(C), pages 1-17.
    12. Agustin G. Bonifacio & Nadia Gui~nazu & Noelia Juarez & Pablo Neme & Jorge Oviedo, 2024. "Counting steps for re-stabilization in a labor matching market," Papers 2405.07084, arXiv.org.
    13. Muriel Niederle & Leeat Yariv, 2009. "Decentralized Matching with Aligned Preferences," NBER Working Papers 14840, National Bureau of Economic Research, Inc.
    14. Manocha, Kriti & Turhan, Bertan, 2025. "Gradual matching with affirmative action," Games and Economic Behavior, Elsevier, vol. 153(C), pages 164-178.
    15. Jaramillo, Paula & Kayı, Çaǧatay & Klijn, Flip, 2013. "Equilibria under deferred acceptance: Dropping strategies, filled positions, and welfare," Games and Economic Behavior, Elsevier, vol. 82(C), pages 693-701.
    16. Beatriz Millán & Eliana Pepa Risma, 2018. "Random path to stability in a decentralized market with contracts," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 79-103, June.
    17. Flanagan, Francis X., 2014. "The substitutes condition and the lattice structure of the set of stable allocations," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 106-110.
    18. Blum, Yosef & Rothblum, Uriel G., 2002. ""Timing Is Everything" and Marital Bliss," Journal of Economic Theory, Elsevier, vol. 103(2), pages 429-443, April.
    19. Joana Pais, 2006. "On Random Matching Markets: Properties and Equilibria," Working Papers Department of Economics 2006/11, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    20. Sun, Ning & Yang, Zaifu, 2021. "Efficiency, stability, and commitment in senior level job matching markets," Journal of Economic Theory, Elsevier, vol. 194(C).
    21. Haris Aziz & Bettina Klaus, 2019. "Random matching under priorities: stability and no envy concepts," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 213-259, August.

    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D00 - Microeconomics - - General - - - General

    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:cor:louvrp:2476. 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: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

    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.