Advanced Search
MyIDEAS: Login to save this paper or follow this series

Semi-Infinite Assignment Problems and Related Games

Contents:

Author Info

  • Llorca, N.
  • Tijs, S.H.
  • Timmer, J.B.

    (Tilburg University, Center for Economic Research)

Registered author(s):

    Abstract

    In 1972 Shapley and Shubik introduced assignment games associated to finite assignment problems in which two types of agents were involved and they proved that these games have a non-empty core. In this paper we look at the situation where the set of one type is infinite and investigatewhen the core of the associated game is non-empty. Two infinite programming problems arise here, which we tackle with the aid of finite approximations. We prove that there is no duality gap and we show that the core of the corresponding game is non-empty. Finally, the existence of optimal assignments is discussed.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://arno.uvt.nl/show.cgi?fid=3935
    Our checks indicate that this address may not be valid because: 404 Not Found. If this is indeed the case, please notify (Richard Broekman)
    Download Restriction: no

    Bibliographic Info

    Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-74.

    as in new window
    Length:
    Date of creation: 1999
    Date of revision:
    Handle: RePEc:dgr:kubcen:199974

    Contact details of provider:
    Web page: http://center.uvt.nl

    Related research

    Keywords: Infinite programs; assignment; cooperative games; balancedness;

    This paper has been announced in the following NEP Reports:

    References

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
    as in new window
    1. Kaneko, Mamoru & Wooders, Myrna Holtz, 1986. "The core of a game with a continuum of players and finite coalitions: The model and some results," Mathematical Social Sciences, Elsevier, vol. 12(2), pages 105-137, October.
    2. Sasaki, Hiroo, 1995. "Consistency and Monotonicity in Assignment Problems," International Journal of Game Theory, Springer, vol. 24(4), pages 373-97.
    3. Kaneko, Mamoru & Wooders, Myrna Holtz, 1982. "Cores of partitioning games," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 313-327, December.
    4. Tijs, S.H., 1975. "Semi-infinite and infinite matrix games and bimatrix games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154313, Tilburg University.
    5. Fragnelli, V. & Patrone, F. & Sideri, E. & Tijs, S.H., 1999. "Balanced games arising from infinite linear models," Open Access publications from Tilburg University urn:nbn:nl:ui:12-81035, Tilburg University.
    6. Timmer, J.B. & Llorca, N. & Tijs, S.H., 1999. "Games Arising from Infinite Production Situations," Discussion Paper 1999-57, Tilburg University, Center for Economic Research.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as in new window

    Cited by:
    1. Sánchez-Soriano, J. & Llorca, N. & Tijs, S.H. & Timmer, J.B., 2000. "Semi-Infinite Assignment and Transportation Games," Discussion Paper 2000-43, Tilburg University, Center for Economic Research.
    2. Sánchez-Soriano, J. & Llorca, N. & Tijs, S.H. & Timmer, J.B., 2000. "On the Core of Semi-Infinite Transportation Games with Divisible Goods," Discussion Paper 2000-89, Tilburg University, Center for Economic Research.

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:dgr:kubcen:199974. 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: (Richard Broekman).

    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.

    If references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link to it, you can help with 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 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.