IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v09y2007i02ns021919890700145x.html
   My bibliography  Save this article

The Shapley Value For Partition Function Form Games

Author

Listed:
  • KIM HANG PHAM DO

    (Department of Applied and International Economics, Massey University, Private Bag 11 222, Palmerston North, New Zealand)

  • HENK NORDE

    (Department of Econometrics and Operations Research, and CentER, Tilburg University, P. O. Box 90513, 5000 LE Tilburg, The Netherlands)

Abstract

Different axiomatizations of the Shapley value for TU games can be found in the literature. The Shapley value has been generalized in several ways to the class of games in partition function form. In this paper we discuss another generalization of the Shapley value and provide a characterization.

Suggested Citation

  • Kim Hang Pham Do & Henk Norde, 2007. "The Shapley Value For Partition Function Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 353-360.
    • Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:02:n:s021919890700145x
    DOI: 10.1142/S021919890700145X
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S021919890700145X
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S021919890700145X?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Zhao, Jingang, 2001. "A characterization for the negative welfare effects of cost reduction in Cournot oligopoly," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 455-469, March.
    2. R. M. Thrall & W. F. Lucas, 1963. "N‐person games in partition function form," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 281-298, March.
    3. Reinhard Selten, 1973. "A Simple Model of Imperfect Competition, where 4 are Few and 6 are Many," Center for Mathematical Economics Working Papers 008, Center for Mathematical Economics, Bielefeld University.
    4. Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(1), pages 37-44.
    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. Andrea Caggese & Ander Pérez-Orive, 2017. "Capital Misallocation and Secular Stagnation," Finance and Economics Discussion Series 2017-009, Board of Governors of the Federal Reserve System (U.S.).
    2. J. M. Alonso-Meijide & M. Álvarez-Mozos & M. G. Fiestras-Janeiro & A. Jiménez-Losada, 2021. "Marginality and convexity in partition function form games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(1), pages 99-121, August.
    3. Grabisch, Michel & Funaki, Yukihiko, 2012. "A coalition formation value for games in partition function form," European Journal of Operational Research, Elsevier, vol. 221(1), pages 175-185.
    4. Effrosyni Diamantoudi & Inés Macho-Stadler & David Pérez-Castrillo & Licun Xue, 2015. "Sharing the surplus in games with externalities within and across issues," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 315-343, October.
    5. Michel Grabisch, 2010. "The lattice of embedded subsets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00457827, HAL.
    6. Pham Do, K.H. & Folmer, H., 2003. "International Fisheries Agreements : The Feasibility and Impacts of Partial Cooperation," Discussion Paper 2003-52, Tilburg University, Center for Economic Research.
    7. Ju, Yuan & Borm, Peter, 2008. "Externalities and compensation: Primeval games and solutions," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 367-382, February.
    8. Roger A McCain, 2013. "Value Solutions in Cooperative Games," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8528, August.
    9. Yuan Ju, 2007. "The Consensus Value For Games In Partition Function Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 437-452.
    10. Johan Eyckmans & Michael Finus, 2004. "An Almost Ideal Sharing Scheme for Coalition Games with Externalities," Working Papers 2004.155, Fondazione Eni Enrico Mattei.
    11. Ju, Y. & Borm, P.E.M., 2006. "A Non-cooperative Approach to the Compensation Rules for Primeval Games," Other publications TiSEM 0bc72bc7-9350-48e3-90c4-e, Tilburg University, School of Economics and Management.
    12. 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.
    13. Peter Borm & Yukihiko Funaki & Yuan Ju, 2020. "The Balanced Threat Agreement for Individual Externality Negotiation Problems," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 67-85, November.
    14. Fukuda, E. & Tijs, S.H. & Brânzei, R. & Muto, S., 2002. "Compromising in Partition Function Form Games and Cooperation in Perfect Extensive Form," Discussion Paper 2002-117, Tilburg University, Center for Economic Research.
    15. Macho-Stadler, Inés & Pérez-Castrillo, David & Wettstein, David, 2018. "Values for environments with externalities – The average approach," Games and Economic Behavior, Elsevier, vol. 108(C), pages 49-64.
    16. Frank Huettner & André Casajus, 2019. "Marginality, dividends, and the value in games with externalities," ESMT Research Working Papers ESMT-19-01, ESMT European School of Management and Technology.
    17. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, September.
    18. Eyckmans, Johan & Finus, Michael & Mallozzi, Lina, 2011. "A New Class of Welfare Maximizing Stable Sharing Rules for Partition Function Games with Externalities," Working Papers 2011/08, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    19. Ju, Y., 2004. "Cooperation, compensation and transition," Other publications TiSEM 1c03cb9e-170c-43fb-a37a-5, Tilburg University, School of Economics and Management.
    20. Takaaki Abe & Yukihiko Funaki, 2021. "The projective core of symmetric games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 167-183, March.

    More about this item

    Keywords

    Partition function form game; Shapley value;

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    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:wsi:igtrxx:v:09:y:2007:i:02:n:s021919890700145x. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.