IDEAS home Printed from https://ideas.repec.org/p/fth/teavfo/24-99.html
   My bibliography  Save this paper

Bidding for the Surplus: a Non-Cooperative Approach to the Shapley Value. ation

Author

Listed:
  • Perez-Castrillo, D.
  • Wettstein, D.

Abstract

We consider zero-monotonic environments with transferable utility and propose a simple non-cooperative game to determine how the surplus generated by cooperation is to be shared. First, the players bid for the right to propose a sharing of the surplus. Second, after the winner pays the bids, she makes a proposal to each of the other players. If the proposal is rejected, the rest of the players will play the same game again with the proposer left out. If her proposal is accepted, she forms the grand coalition, keeping its value for herself in exchange for the proposed payments to the rest of the players. We show that the final outcome of any subgame perfect equilibrium of this mechanism always coincides with the vector of the Shapley value payoffs. Finally, we extend our results to implement the weighted Shapley values.

Suggested Citation

  • Perez-Castrillo, D. & Wettstein, D., 1999. "Bidding for the Surplus: a Non-Cooperative Approach to the Shapley Value. ation," Papers 24-99, Tel Aviv.
    • Handle: RePEc:fth:teavfo:24-99
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

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


    Cited by:

    1. Emilio Calvo & Esther Gutiérrez, 2012. "Weighted Solidarity Values," Discussion Papers in Economic Behaviour 0212, University of Valencia, ERI-CES.
    2. Perez-Castrillo, David & Wettstein, David, 2006. "An ordinal Shapley value for economic environments," Journal of Economic Theory, Elsevier, vol. 127(1), pages 296-308, March.
    3. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2004. "Sharing the surplus: A just and efficient proposal for environments with externalities," Working Papers 119, Barcelona School of Economics.
    4. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2010. "Dividends and weighted values in games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 177-184, March.
    5. Pérez-Castrillo, David & Quérou, Nicolas, 2012. "Smooth multibidding mechanisms," Games and Economic Behavior, Elsevier, vol. 76(2), pages 420-438.
    6. David Pérez-Castrillo & David Wettstein, 2005. "Implementation of the Ordinal Shapley Value for a three-agent economy," Economics Bulletin, AccessEcon, vol. 3(48), pages 1-8.
    7. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2006. "Efficient bidding with externalities," Games and Economic Behavior, Elsevier, vol. 57(2), pages 304-320, November.

    More about this item

    Keywords

    GAME THEORY ; BIDDING ; ECONOMETRICS;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:fth:teavfo:24-99. 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.

    We have no bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thomas Krichel (email available below). General contact details of provider: https://edirc.repec.org/data/fotauil.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.