IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v6y2009i1p4-26.html
   My bibliography  Save this article

Equilibrium in a two-agent Assignment Problem

Author

Listed:
  • Giovanni Felici
  • Mariagrazia Mecoli
  • Pitu B. Mirchandani
  • Andrea Pacifici

Abstract

In this paper we address a particular generalisation of the Assignment Problem (AP) in a Multi-Agent setting, where distributed agents share common resources. We consider the problem of determining Pareto-optimal solutions that satisfy a fairness criterion (equilibrium). We show that the solution obtained is equivalent to a Kalai–Smorodinsky solution of a suitably defined bargaining problem and characterise the computational complexity of finding such an equilibrium. Additionally, we propose an exact solution algorithm based on a branch-and-bound scheme that exploits bounds obtained by suitably rounding the solutions of the corresponding linear relaxation, and give the results of extensive computational experiments.

Suggested Citation

  • Giovanni Felici & Mariagrazia Mecoli & Pitu B. Mirchandani & Andrea Pacifici, 2009. "Equilibrium in a two-agent Assignment Problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 6(1), pages 4-26.
    • Handle: RePEc:ids:ijores:v:6:y:2009:i:1:p:4-26
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=26241
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:ids:ijores:v:6:y:2009:i:1:p:4-26. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=170 .

    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.