IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

C-complete sets for compromise stable games

  • Platz, Trine Tornøe

    ()

    (Department of Business and Economics)

  • Hamers, Herbert

    ()

    (Department of Econometrics & OR and CentER)

  • Quant, Marieke

    (Department of Econometrics & OR and CentER)

The core cover of a TU-game is a superset of the core and equals the convex hull of its larginal vectors. A larginal vector corresponds to an ordering of the players and describes the efficient payoff vector giving the first players in the ordering their utopia demand as long as it is still possible to assign the remaining players at least their minimum right. A game is called compromise stable if the core is equal to the core cover, i.e. the core is the convex hull of the larginal vectors. This paper analyzes the structure of orderings corresponding to larginal vectors of the core cover and conditions ensuring equality between core cover and core. We introduce compromise complete (or c-complete) sets that satisfy the condition that if every larginal vector corresponding to an ordering of the set is a core element, then the game is compromise stable. We use combinatorial arguments to give a complete characterization of these sets. More specifically, we find c-complete sets of minimum cardinality and a closed formula for the minimum number of orderings in c-complete sets.

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://static.sdu.dk/mediafiles//A/B/9/%7BAB9DADFA-031F-40FA-8141-823A7DADB357%7Ddpbe25_2012.pdf
Download Restriction: no

Paper provided by Department of Business and Economics, University of Southern Denmark in its series Discussion Papers of Business and Economics with number 25/2012.

as
in new window

Length: 14 pages
Date of creation: 03 Dec 2012
Date of revision:
Handle: RePEc:hhs:sdueko:2012_025
Contact details of provider: Postal: Department of Business and Economics, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
Phone: 65 50 32 33
Fax: 65 50 32 37
Web page: http://www.sdu.dk/ivoe
Email:


More information through EDIRC

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. repec:ner:tilbur:urn:nbn:nl:ui:12-154285 is not listed on IDEAS
  2. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
  3. A. Estévez-Fernández & M. Fiestras-Janeiro & M. Mosquera & E. Sánchez-Rodríguez, 2012. "A bankruptcy approach to the core cover," Mathematical Methods of Operations Research, Springer, vol. 76(3), pages 343-359, December.
  4. Potters, Jos & Poos, Rene & Tijs, Stef & Muto, Shigeo, 1989. "Clan games," Games and Economic Behavior, Elsevier, vol. 1(3), pages 275-293, September.
  5. van Velzen, S. & Hamers, H.J.M. & Norde, H.W., 2002. "Convexity and Marginal Vectors," Discussion Paper 2002-53, Tilburg University, Center for Economic Research.
  6. repec:ner:tilbur:urn:nbn:nl:ui:12-154246 is not listed on IDEAS
  7. repec:ner:tilbur:urn:nbn:nl:ui:12-173775 is not listed on IDEAS
  8. Marieke Quant & Peter Borm & Hans Reijnierse & Bas van Velzen, 2005. "The core cover in relation to the nucleolus and the Weber set," International Journal of Game Theory, Springer, vol. 33(4), pages 491-503, November.
  9. Rafels, Carles & Ybern, Neus, 1995. "Even and Odd Marginal Worth Vectors, Owen's Multilinear Extension and Convex Games," International Journal of Game Theory, Springer, vol. 24(2), pages 113-26.
  10. Arantza Est�vez-Fern�ndez & Mar�a Gloria Fiestras-Janeiro & Manuel Alfredo Mosquera & Estela S�nchez- Rodr�guez, 2012. "A Bankruptcy Approach to the Core Cover," Tinbergen Institute Discussion Papers 12-012/1, Tinbergen Institute.
  11. Potters, J.A.M. & Poos, R. & Tijs, S.H. & Muto, S., 1989. "Clan games," Other publications TiSEM 1855e4e3-7392-4ef0-a073-8, Tilburg University, School of Economics and Management.
  12. Arantza Est�vez-Fern�ndez & Mar�a Gloria Fiestras-Janeiro & Manuel Alfredo Mosquera & Estela S�nchez- Rodr�guez, 2012. "A Bankruptcy Approach to the Core Cover," Tinbergen Institute Discussion Papers 12-012/1, Tinbergen Institute.
  13. repec:ner:tilbur:urn:nbn:nl:ui:12-154241 is not listed on IDEAS
  14. repec:dgr:kubcen:200311 is not listed on IDEAS
  15. repec:spr:compst:v:76:y:2012:i:3:p:343-359 is not listed on IDEAS
  16. Muto, S. & Nakayama, M. & Potters, J.A.M. & Tijs, S.H., 1988. "On big boss games," Other publications TiSEM 488a314a-179c-4628-91e6-7, Tilburg University, School of Economics and Management.
  17. Arantza Est�vez-Fern�ndez & Mar�a Gloria Fiestras-Janeiro & Manuel Alfredo Mosquera & Estela S�nchez- Rodr�guez, 2012. "A Bankruptcy Approach to the Core Cover," Tinbergen Institute Discussion Papers 12-012/1, Tinbergen Institute.
  18. repec:dgr:kubcen:200253 is not listed on IDEAS
Full references (including those not matched with items on IDEAS)

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

When requesting a correction, please mention this item's handle: RePEc:hhs:sdueko:2012_025. 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: (Lene Holbæk)

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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.