IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v48y1998i1p71-80.html
   My bibliography  Save this article

Population monotonic allocation schemes on externality games

Author

Listed:
  • F. Grafe
  • E. Iñarra
  • J. M. Zarzuelo

Abstract

This paper introduces a new class of cooperative games called externality games. In these games each player contributes with their specific endowment and also with their presence to the total worth of the coalition she belongs to. We prove that for these games there exists a unique efficient, anonymous and population monotonic rule: the proportional rule. A subclass of externality games is also analyzed. Games in this subclass are not necessarily convex although we show that the Shapley value is in the core of these games, but it is not a population monotonic rule. Copyright Springer-Verlag Berlin Heidelberg 1998

Suggested Citation

  • F. Grafe & E. Iñarra & J. M. Zarzuelo, 1998. "Population monotonic allocation schemes on externality games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(1), pages 71-80, September.
    • Handle: RePEc:spr:mathme:v:48:y:1998:i:1:p:71-80
    DOI: 10.1007/s001860050012
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s001860050012
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s001860050012?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 search for a different version of it.

    Citations

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


    Cited by:

    1. Paula Corcho & José Ferreira, 2003. "Generalized externality games," Theory and Decision, Springer, vol. 54(2), pages 163-184, March.
    2. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2018. "The proportional Shapley value and applications," Games and Economic Behavior, Elsevier, vol. 108(C), pages 93-112.
    3. J. Zambujal-Oliveira, 2021. "Supply Chain Innovation Research: A Conceptual Approach of Information Management with Game Theory," Group Decision and Negotiation, Springer, vol. 30(2), pages 377-394, April.
    4. Takaaki Abe, 2020. "Population monotonic allocation schemes for games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 97-117, March.
    5. Josep Maria Izquierdo Aznar, 2003. "Regular Population Monotonic Allocation Schemes and the Core," Working Papers in Economics 110, Universitat de Barcelona. Espai de Recerca en Economia.
    6. Guardiola, Luis A. & Meca, Ana & Puerto, Justo, 2008. "Production-inventory games and PMAS-games: Characterizations of the Owen point," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 96-108, July.

    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:spr:mathme:v:48:y:1998:i:1:p:71-80. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.