IDEAS home Printed from https://ideas.repec.org/p/fem/femwpa/2008.27.html
   My bibliography  Save this paper

The Maximal Payoff and Coalition Formation in Coalitional Games

Author

Listed:
  • Jingang Zhao

    (University of Saskatchewan)

Abstract

This paper first establishes a new core theorem using the concept of generated payoffs: the TU (transferable utility) core is empty if and only if the maximum of generated payoffs (mgp) is greater than the grand coalition’s payoff v(N), or if and only if it is irrational to split v(N). It then provides answers to the questions of what payoffs to split, how to split the payoff, what coalitions to form, and how long each of the coalitions will be formed by rational players in coalitional TU games. Finally, it obtains analogous results in coalitional NTU (non-transferable utility) games.

Suggested Citation

  • Jingang Zhao, 2008. "The Maximal Payoff and Coalition Formation in Coalitional Games," Working Papers 2008.27, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2008.27
    as

    Download full text from publisher

    File URL: http://www.feem.it/userfiles/attach/Publication/NDL2008/NDL2008-027.pdf
    Download Restriction: no

    Citations

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


    Cited by:

    1. repec:wsi:igtrxx:v:14:y:2012:i:03:n:s0219198912500181 is not listed on IDEAS

    More about this item

    Keywords

    Coalition Formation; Core; Maximal Payoff; Minimum No-Blocking Payoff;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:fem:femwpa:2008.27. 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: (barbara racah). General contact details of provider: http://edirc.repec.org/data/feemmit.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.