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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
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    Citations

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    Cited by:

    1. 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.
    2. 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.

    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

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