[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-05c70033.html
   My bibliography  Save this article

Implementation of the Ordinal Shapley Value for a three-agent economy

Author

Listed:
  • David Pérez-Castrillo

    (Universitat Autonoma de Barcelona)

  • David Wettstein

    (Ben-Gurion University)

Abstract
We propose a simple mechanism that implements the Ordinal Shapley Value (Pérez-Castrillo and Wettstein 2005) for economies with three or less agents.

Suggested Citation

  • 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.
  • Handle: RePEc:ebl:ecbull:eb-05c70033
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2005/Volume3/EB-05C70033A.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
    2. Safra, Zvi, 1984. "On the frequency of the transfer paradox," Economics Letters, Elsevier, vol. 15(3-4), pages 209-212.
    3. Roth,Alvin E. (ed.), 2005. "The Shapley Value," Cambridge Books, Cambridge University Press, number 9780521021333, September.
    4. Perez-Castrillo, D. & Wettstein, D., 1999. "Bidding for the Surplus: a Non-Cooperative Approach to the Shapley Value. ation," Papers 24-99, Tel Aviv.
    5. 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.
    6. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
    7. David Perez-Castrillo & David Wettstein, 2004. "An Ordinal Shapley Value for Economic Environments (Revised Version)," UFAE and IAE Working Papers 634.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    8. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 255-273, March.
    9. (*), Y. Stephen Chiu & Ani Dasgupta, 1998. "On implementation via demand commitment games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 161-189.
    10. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    11. David Pérez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Dominique Demougin & Oliver Fabel, 2007. "Entrepreneurship and the Division of Ownership in New Ventures," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(1), pages 111-128, March.
    2. Sun, Chaoran, 2022. "Bidding against a Buyout: Implementing the Shapley value and the equal surplus value," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    3. Demougin, Dominique M. & Fabel, Oliver, 2006. "The division of ownership in new ventures," SFB 649 Discussion Papers 2006-047, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    4. Vidal-Puga, Juan, 2013. "A non-cooperative approach to the ordinal Shapley rule," MPRA Paper 43790, University Library of Munich, Germany.
    5. Gustavo Bergantiños & Juan Vidal-Puga, 2005. "The Consistent Coalitional Value," Mathematics of Operations Research, INFORMS, vol. 30(4), pages 832-851, November.
    6. repec:hum:wpaper:sfb649dp2006-047 is not listed on IDEAS
    7. Vidal-Puga, Juan, 2015. "A non-cooperative approach to the ordinal Shapley–Shubik rule," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 111-118.

    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. Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 307-330, May.
    2. 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.
    3. repec:ebl:ecbull:v:3:y:2005:i:48:p:1-8 is not listed on IDEAS
    4. Ander Perez-Orive & Andrea Caggese, 2017. "Capital Misallocation and Secular Stagnation," 2017 Meeting Papers 382, Society for Economic Dynamics.
    5. Vidal-Puga, Juan, 2013. "A non-cooperative approach to the ordinal Shapley rule," MPRA Paper 43790, University Library of Munich, Germany.
    6. Pérez-Castrillo, David & Quérou, Nicolas, 2012. "Smooth multibidding mechanisms," Games and Economic Behavior, Elsevier, vol. 76(2), pages 420-438.
    7. Juan Vidal-Puga, 2005. "Implementation of the Levels Structure Value," Annals of Operations Research, Springer, vol. 137(1), pages 191-209, July.
    8. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2017. "Extensions of the Shapley value for Environments with Externalities," Working Papers 1002, Barcelona School of Economics.
    9. Vidal-Puga, Juan, 2015. "A non-cooperative approach to the ordinal Shapley–Shubik rule," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 111-118.
    10. van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2013. "A strategic implementation of the Average Tree solution for cycle-free graph games," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2737-2748.
    11. Navarro Noemí & Perea Andres, 2013. "A Simple Bargaining Procedure for the Myerson Value," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 13(1), pages 131-150, May.
    12. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Realizing efficient outcomes in cost spanning problems," Game Theory and Information 0403001, University Library of Munich, Germany.
    13. Lars Ehlers, 2009. "Choosing wisely: the natural multi-bidding mechanism," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 505-512, June.
    14. Juan J. Vidal-Puga, 2004. "Bargaining with commitments," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 129-144, January.
    15. Navarro, Noemí & Perea, Andrés, 2001. "Bargaining in networks and the myerson value," UC3M Working papers. Economics we016121, Universidad Carlos III de Madrid. Departamento de Economía.
    16. Kamijo, Yoshio, 2008. "Implementation of weighted values in hierarchical and horizontal cooperation structures," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 336-349, November.
    17. Borm, Peter & Ju, Yuan & Wettstein, David, 2015. "Rational bargaining in games with coalitional externalities," Journal of Economic Theory, Elsevier, vol. 157(C), pages 236-254.
    18. 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.
    19. Mutuswami, Suresh & Perez-Castrillo, David & Wettstein, David, 2004. "Bidding for the surplus: realizing efficient outcomes in economic environments," Games and Economic Behavior, Elsevier, vol. 48(1), pages 111-123, July.
    20. Yuan Ju, 2013. "Efficiency and compromise: a bid-offer–counteroffer mechanism with two players," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 501-520, May.
    21. Bergantiños, Gustavo & Vidal-Puga, Juan, 2010. "Realizing fair outcomes in minimum cost spanning tree problems through non-cooperative mechanisms," European Journal of Operational Research, Elsevier, vol. 201(3), pages 811-820, March.

    More about this item

    JEL classification:

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

    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:ebl:ecbull:eb-05c70033. 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: John P. Conley (email available below). General contact details of provider: .

    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.