Advanced Search
MyIDEAS: Login to save this article or follow this journal

Weighted nucleoli

Contents:

Author Info

  • Hans Haller

    ()
    (Department of Economics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0316, USA)

  • Jean Derks

    ()
    (Department of Mathematics, Faculty of General Sciences, University of Maastricht, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

Abstract

Cooperative games in characteristic function form (TU games) are considered. We allow for variable populations or carriers. Weighted nucleoli are defined via weighted excesses for coalitions. A solution satisfies the Null Player Out (NPO) property, if elimination of a null player does not affect the payoffs of the other players. For any single-valued and efficient solution, the NPO property implies the null player property. We show that a weighted nucleolus has the null player property if and only if the weights of multi-player coalitions are weakly decreasing with respect to coalition inclusion. Weighted nucleoli possessing the NPO-property can be characterized by means of a multiplicative formula for the weights of the multi-player coalitions and a restrictive condition on the weights of one-player coalitions.

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://link.springer.de/link/service/journals/00182/papers/9028002/90280173.pdf
Download Restriction: Access to the full text of the articles in this series is restricted

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 28 (1999)
Issue (Month): 2 ()
Pages: 173-187

as in new window
Handle: RePEc:spr:jogath:v:28:y:1999:i:2:p:173-187

Note: Received: March 1997/Final version: November 1998
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00182/index.htm

Order Information:
Web: http://link.springer.de/orders.htm

Related research

Keywords: Cooperative games · weighted nucleoli · null player · Kohlberg condition;

References

No references listed on IDEAS
You can help add them by filling out this form.

Citations

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

Cited by:
  1. Hokari, Toru, 2005. "Consistency implies equal treatment in TU-games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 63-82, April.
  2. Kleppe, J. & Reijnierse, J.H. & Sudhölter, P., 2013. "Axiomatizations Of Symmetrically Weighted Solutions," Discussion Paper 2013-007, Tilburg University, Center for Economic Research.
  3. Pedro Calleja & Carles Rafels & Stef Tijs, 2010. "Aggregate monotonic stable single-valued solutions for cooperative games," Working Papers in Economics 237, Universitat de Barcelona. Espai de Recerca en Economia.
  4. Pedro Calleja & Carles Rafels & Stef Tijs, 2012. "Aggregate monotonic stable single-valued solutions for cooperative games," International Journal of Game Theory, Springer, vol. 41(4), pages 899-913, November.
  5. Lohmann, E. & Borm, P. & Herings, P.J.J., 2012. "Minimal exact balancedness," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 127-135.

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:spr:jogath:v:28:y:1999:i:2:p:173-187. 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: (Guenther Eichhorn) or (Christopher F Baum).

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.