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Stable Bank Cooperation for Cost Reduction Problem

Author

Listed:
  • Elena Parilina

    (Saint Petersburg State University, Faculty of Applied Mathematics and Control Processes, Saint Petersburg, Russia)

  • Artem Sedakov

    (Saint Petersburg State University, Faculty of Applied Mathematics and Control Processes, Saint Petersburg, Russia)

Abstract

In the paper we consider a problem of bank cost reduction by joint usage of ATMs. In coalition case, we assume that cooperation may be naturally restricted by a coalition structure. A question of stability of a coalition structure with respect to the Shapley value is investigated. Statements about the configuration of stable coalition structures are proposed. We also consider special cases in which their existence is proved.

Suggested Citation

  • 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.
    • Handle: RePEc:fau:aucocz:au2014_007
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    References listed on IDEAS

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    2. Endre Bjørndal & Herbert Hamers & Maurice Koster, 2004. "Cost allocation in a bank ATM network," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(3), pages 405-418, July.
    3. Guillaume Haeringer, 2000. "Stable Coalition Structures with Fixed Decision Schme," UFAE and IAE Working Papers 471.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    4. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    5. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    6. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416-416.
    7. 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.
    8. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    9. Katsev, Ilya & Yanovskaya, Elena, 2013. "The prenucleolus for games with restricted cooperation," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 56-65.
    10. Faigle, U & Kern, W, 1992. "The Shapley Value for Cooperative Games under Precedence Constraints," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(3), pages 249-266.
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    Cited by:

    1. Elena Parilina & Artem Sedakov, 2016. "Stable Cooperation in a Game with a Major Player," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-20, June.

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    More about this item

    Keywords

    Coalition structure; stability; cost allocation problem; Shapley value;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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