IDEAS home Printed from https://ideas.repec.org/p/ivi/wpasad/1995-05.html
   My bibliography  Save this paper

Implementation of Stable Solutions to Marriage Problems

Author

Listed:
  • José Alcalde

    (Universidad de Alicante)

Abstract

This paper analyzes the possibility of irnplementing stable outcomes for marriage markets. Our first result shows a contradiction between the use of stable mechanisins and the hypotesis of agents' behaviour consiclered in the Nash equilibriurn concept . We analyze the possibility of irnplementing two sets of stable allocations, by employing two types of rnechanisms. The first mechanisrn is a "now-or- never" choice process that permits us to irnplement in undominated Nash equilibria the set of all the stable allocations. The second choice process is the classic algorithm in matching theory, the Gale-Shapley mechanism. A reversal property is observed in such a mechanism when agents act strategically. The use of a mechanism which selects the best solution for one side of the market in the absence of strategic behaviour yields the best stable solution for the agents on the other side under dominance solvability.

Suggested Citation

  • José Alcalde, 1995. "Implementation of Stable Solutions to Marriage Problems," Working Papers. Serie AD 1995-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:1995-05
    as

    Download full text from publisher

    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1995-05.pdf
    File Function: Fisrt version / Primera version, 1995
    Download Restriction: no
    ---><---

    Other versions of this item:

    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:ivi:wpasad:1995-05. 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: Departamento de Edición (email available below). General contact details of provider: https://edirc.repec.org/data/ievages.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.