IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v08y2006i02ns0219198906000904.html
   My bibliography  Save this article

Dynamic Games With Coalitional Structures

Author

Listed:
  • LEON PETROSJAN

    (Department of Applied Mathematics and Control, St. Petersburg State University, 198504, St. Petersburg, University pr., 35, Russia)

  • SVETLANA MAMKINA

    (Department of Applied Mathematics and Control, St. Petersburg State University, 198504, St. Petersburg, University pr., 35, Russia)

Abstract

The paper explores the properties of multistage games with perfect information, in which (unlike the classic Kuhnian definition) the conditional coalition partition at any vertex is determined by a chance move and remains unchanged until the random process repeats at the next vertex. A new value for such a game is proposed in terms of a PMS-vector. It is computed by backward induction using conditional partition and transition in the vertices. An illustrative example is provided.

Suggested Citation

  • Leon Petrosjan & Svetlana Mamkina, 2006. "Dynamic Games With Coalitional Structures," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 295-307.
    • Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:02:n:s0219198906000904
    DOI: 10.1142/S0219198906000904
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198906000904
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219198906000904?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. Hassan Benchekroun & Farnaz Taherkhani, 2014. "Adaptation and the Allocation of Pollution Reduction Costs," Dynamic Games and Applications, Springer, vol. 4(1), pages 32-57, March.
    2. Jianwei Zhao & Zijun Li, 2024. "The Owen value for differential cooperative games with a coalition structure," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(4), pages 251-273.
    3. Elena Parilina & Artem Sedakov, 2014. "Stable Bank Cooperation for Cost Reduction Problem," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 8(1), pages 7-25, August.

    More about this item

    Keywords

    Coalitional partition; indifferent Nash equilibria; PMS-vector; Shapley value; game with perfect information;
    All these keywords.

    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:08:y:2006:i:02:n:s0219198906000904. 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: 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.