IDEAS home Printed from https://ideas.repec.org/p/rut/rutres/199701.html
   My bibliography  Save this paper

Manipulation and Stability in the College Admissions Problem

Author

Listed:
  • Jinpeng Ma

    (Economics, Rutgers University, Camden, NJ 08102)

Abstract

Roth and Vande Vate (1991) studied the marriage problem and introduced the notion of truncation strategies and showed in an example that the unstable matchings can arise at Nash equilibria in truncations. This paper studies the college admissions problem and shows that all rematching proof or strong equilibria in truncations produce stable matchings, even though the equilibrium profiles are manipulated, and all stable matchings can be achieved in rematching proof or strong equilibria in truncations. It is shown that a preference profile that is rematchinng proof or strong equilibrium for one stable matching mechanism is also rematching proof or strong equilibrium for all stable matching mechanisms. This result shows that there is no difference among all stable matching mechanisms in rematching proof or strong equilibria in truncations, which is in the contrast to the situation in which agents report their preferences in a straightforward manner.

Suggested Citation

  • Jinpeng Ma, 1997. "Manipulation and Stability in the College Admissions Problem," Departmental Working Papers 199701, Rutgers University, Department of Economics.
    • Handle: RePEc:rut:rutres:199701
    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 search for a similarly titled item that would be available.

    More about this item

    Keywords

    College admissions problem;

    JEL classification:

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

    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:rut:rutres:199701. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/derutus.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.