IDEAS home Printed from https://ideas.repec.org/p/iim/iimawp/wp01323.html
   My bibliography  Save this paper

Ordinal Comparisons in Choice Problems: A Diagrammatic Exposition

Author

Listed:
  • Lahiri Somdeb

Abstract

The basic problem in choice theory is to choose a point from a set of available points. A large literature has grown where the central issue is the choice of a vector from a compact, convex and comprehensive (terms to be defined later) subset of a finite dimensional Euclidean space. A significant solution for such choice problems is the egalitarian solution which selects the highest possible vector with equal co-ordinates that is available under the given circumstances. There are several axiomatic characterizations of the egalitarian solution available in the literature. Of particular interest is an axiomatic characterization due to Nielsen (1983). There the egalitarian solution is axiomatically characterized using an assumption called ‘independence of Common Monotone Transformations’ (ICMT). Our objective in this paper is to provide a simple diagrammatic (yet completely rigorous) proof of the same result, when the feasible sets of attribute vectors are assumed (in addition to those essentially available in Nielsen (1983) to be strictly convex.

Suggested Citation

  • Lahiri Somdeb, 1995. "Ordinal Comparisons in Choice Problems: A Diagrammatic Exposition," IIMA Working Papers WP1995-04-01_01323, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:wp01323
    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:wp01323. 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.