IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-017-0061-0_21.html
   My bibliography  Save this book chapter

Assignment Models for Constrained Marginals and Restricted Markets

In: Distributions With Given Marginals and Statistical Modelling

Author

Listed:
  • D. Ramachandran

    (California State University, Department of Mathematics and Statistics)

  • L. Rüschendorf

    (University of Freiburg, Institut für Mathematische Stochastik)

Abstract

Abstract Duality theorems for assignment models are usually derived assuming countable additivity of the assignment and the population measures. In this paper, we use finitely additive measures to model assignments of buyers and sellers. This relaxation results in more complete duality theorems and gives greater flexibility concerning the existence of solutions, assumptions on the spaces of agents and on profit functions. We treat two modifications of the nonatomic assignment model. In the first model, upper and lower bounds are imposed on the marginal measures representing the activities of the buyers and sellers where the lower bounds reflect a certain minimum required level of activity on the agents. In the second model, the interaction of the agents is further restricted to a certain specified subset of all matchings of buyers and sellers.

Suggested Citation

  • D. Ramachandran & L. Rüschendorf, 2002. "Assignment Models for Constrained Marginals and Restricted Markets," Springer Books, in: Carles M. Cuadras & Josep Fortiana & José A. Rodriguez-Lallena (ed.), Distributions With Given Marginals and Statistical Modelling, pages 195-209, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-0061-0_21
    DOI: 10.1007/978-94-017-0061-0_21
    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
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:spr:sprchp:978-94-017-0061-0_21. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.