IDEAS home Printed from https://ideas.repec.org/p/iim/iimawp/wp01710.html
   My bibliography  Save this paper

The Weighted Fair Division Problem

Author

Listed:
  • Lahiri Somdeb

Abstract

The exact problem we are concerned with in this paper is of the following nature. There are a finite number of producers each equipped with a utility function of the standard variety, which converts and input into a producer specific output. An allocation of the input among the producers is sought which is Pareto efficient i.e. there is no reallocation which increases the output of one producer without decreasing the output of any other. This, as is very widely known, corresponds to maximizing the weighted sum of the utility functions subject to a resource constraint. Alternatively, the weights can be interpreted as exogenously specified prices of the separate outputs and then the problem reduces to maximizing the aggregate revenue subject to a resource constraint. Out analysis focuses on the relations between the optimal solutions and the price and aggregate resource pair. Further, we also study the effect on the former of varying the latter pair.

Suggested Citation

  • Lahiri Somdeb, 2000. "The Weighted Fair Division Problem," IIMA Working Papers WP2000-12-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:wp01710
    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

    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:iim:iimawp:wp01710. 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/eciimin.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.