IDEAS home Printed from
   My bibliography  Save this paper

Monotonicity and the fair assignment solution


  • ALKAN, Ahmet

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium and Bogazici University, Istanbul, Turkey)


Given any problem involving assignment of indivisible objects and a sum of money among individuals, there is a fair assignment (namely the minmax money assignment) which can be extended monotonically to a new fair assignment for any object added or person removed, and another (the maxmin value assignment) extendable similarly for any object removed or person added. This however is the extent of compatibility between fairness and monotonicity axioms in the assignment problem. No allocation other than the minmax money allocation is extendable. An analogue holds for the maxmin value allocation by example.

Suggested Citation

  • ALKAN, Ahmet, 1992. "Monotonicity and the fair assignment solution," CORE Discussion Papers 1992044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:1992044

    Download full text from publisher

    File URL:
    Download Restriction: no

    More about this item


    Access and download statistics


    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:louvco:1992044. 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: (Alain GILLIS). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.