Advanced Search
MyIDEAS: Login to save this article or follow this journal

Gale-Shapley Stable Marriage Problem Revisited: Strategic Issues and Applications

Contents:

Author Info

  • Chung-Piaw Teo

    ()
    (Department of Decision Sciences, Faculty of Business Administration, National University of Singapore, FBA 1-15 Law Link, Singapore 117591)

  • Jay Sethuraman

    ()
    (Department of Industrial Engineering and Operations Research, Columbia University, New York, New York 10027)

  • Wee-Peng Tan

    (Department of Decision Sciences, Faculty of Business Administration, National University of Singapore, FBA 1-15 Law Link, Singapore 117591)

Registered author(s):

    Abstract

    We study strategic issues in the Gale-Shapley stable marriage model. In the first part of the paper, we derive the optimal cheating strategy and show that it is not always possible for a woman to recover her women-optimal stable partner from the men-optimal stable matching mechanism when she can only cheat by permuting her preferences. In fact, we show, using simulation, that the chances that a woman can benefit from cheating are slim. In the second part of the paper, we consider a two-sided matching market found in Singapore. We study the matching mechanism used by the Ministry of Education (MOE) in the placement of primary six students in secondary schools, and discuss why the current method has limited success in accommodating the preferences of the students, and the specific needs of the schools (in terms of the "mix" of admitted students). Using insights from the first part of the paper, we show that stable matching mechanisms are more appropriate in this matching market and explain why the strategic behavior of the students need not be a major concern.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://dx.doi.org/10.1287/mnsc.47.9.1252.9784
    Download Restriction: no

    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 47 (2001)
    Issue (Month): 9 (September)
    Pages: 1252-1267

    as in new window
    Handle: RePEc:inm:ormnsc:v:47:y:2001:i:9:p:1252-1267

    Contact details of provider:
    Postal: 7240 Parkway Drive, Suite 300, Hanover, MD 21076 USA
    Phone: +1-443-757-3500
    Fax: 443-757-3515
    Email:
    Web page: http://www.informs.org/
    More information through EDIRC

    Related research

    Keywords: Stable Marriage; Strategic Issues; Gale-Shapley Algorithm; Student Posting Exercise;

    References

    No references listed on IDEAS
    You can help add them by filling out this form.

    Citations

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

    Cited by:
    1. James Boudreau, 2008. "Preference Structure and Random Paths to Stability in Matching Markets," Economics Bulletin, AccessEcon, vol. 3(67), pages 1-12.
    2. Egbert, Henrik & Neumann, Thomas & Rasmus, Anke, 2014. "Matchingtools und Matchingprozesse im Kontext von Junior und Senior Entrepreneuren
      [Matching Tools and Processes in the Context of Junior and Senior Entrepreneurship]
      ," MPRA Paper 54829, University Library of Munich, Germany.
    3. László Á. Kóczy, 2009. "Központi felvételi rendszerek: Taktikázás és stabilitás," Working Paper Series 0901, Óbuda University, Keleti Faculty of Business and Management.
    4. James W. Boudreau & Vicki Knoblauch, 2010. "Marriage Matching and Intercorrelation of Preferences," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(3), pages 587-602, 06.
    5. Guillaume Haeringer & Flip Klijn, 2008. "Constrained School Choice," Working Papers 294, Barcelona Graduate School of Economics.
    6. Ergin, Haluk & Sonmez, Tayfun, 2006. "Games of school choice under the Boston mechanism," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 215-237, January.
    7. Kóczy Á., László, 2010. "A magyarországi felvételi rendszerek sajátosságai
      [Specific features of Hungarys system of school and university admissions]
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(2), pages 142-164.
    8. James Boudreau & Vicki Knoblauch, 2013. "Preferences and the price of stability in matching markets," Theory and Decision, Springer, vol. 74(4), pages 565-589, April.
    9. repec:ebl:ecbull:v:3:y:2008:i:67:p:1-12 is not listed on IDEAS
    10. James W. Boudreau, 2008. "Stratification and Growth in Agent-based Matching Markets," Working papers 2008-30, University of Connecticut, Department of Economics.
    11. Peter Biro & Sofya Kiselgof, 2013. "College admissions with stable score-limits," IEHAS Discussion Papers 1306, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:47:y:2001:i:9:p:1252-1267. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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