IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/14969.html
   My bibliography  Save this paper

A Characterization of the Shapley Value for Cooperative Games

Author

Listed:
  • Hsiao, Chih-Ru
  • Chiou, Wen-Lin

Abstract

Motivated by a case of discrimination against some particular players happened in the real world, we define the partially consistent property of the solutions for cooperative games and use the property to characterize the Shapley value. This is different from the characterization of the Shapley value by applying the consistency property proposed by Hart and Mas-Colell.

Suggested Citation

  • Hsiao, Chih-Ru & Chiou, Wen-Lin, 2009. "A Characterization of the Shapley Value for Cooperative Games," MPRA Paper 14969, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:14969
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/14969/1/MPRA_paper_14969.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hsiao, Chih-Ru, 1995. "A note on non-essential players in multi-choice cooperative games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 424-432.
    2. Chang, Chih & Kan, Ching-Yu, 1992. "The Kernel, the Bargaining Set and the Reduced Game," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 75-83.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hsiao, Chih-Ru, 2011. "A Review on Liao’s Dissertation Entitled “The Solutions on Multi-choice Games” and Related Publications," MPRA Paper 30260, University Library of Munich, Germany.
    2. Hsiao, Chih-Ru, 1996. "Consistency of the Multi-Choice Shapley Value," MPRA Paper 18504, University Library of Munich, Germany.
    3. Hsiao, Chih-Ru & Chiou, Wen-Lin, 2009. "Modeling a Multi-Choice Game Based on the Spirit of Equal Job Opportunities (New)," MPRA Paper 16023, University Library of Munich, Germany.
    4. Hsiao, Chih-Ru & Yeh, Yeong-Nan & Mo, Jie-Ping, 1994. "The Potential of Multi-choice Cooperative Games," MPRA Paper 15007, University Library of Munich, Germany.
    5. Hsiao, Chih-Ru & Chiou, Wen-Lin, 2007. "On the reduced game of a cooperative game and its solution," MPRA Paper 42116, University Library of Munich, Germany.

    More about this item

    Keywords

    Shapley value; Reduced Game; Partialy Consistent;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

    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:pra:mprapa:14969. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc 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 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.