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Stable Bank Cooperation for Cost Reduction Problem

Listed author(s):
  • 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)

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.

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Article provided by Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies in its journal Czech Economic Review.

Volume (Year): 8 (2014)
Issue (Month): 1 (August)
Pages: 7-25

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Handle: RePEc:fau:aucocz:au2014_007
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  1. van den Nouweland, C.G.A.M. & Borm, P.E.M. & van Golstein Brouwers, W. & Groot Bruinderink, R. & Tijs, S.H., 1996. "A game theoretic approach to problems in telecommunication," Other publications TiSEM a3b30529-fe17-484c-8eab-7, Tilburg University, School of Economics and Management.
  2. Katsev, Ilya & Yanovskaya, Elena, 2013. "The prenucleolus for games with restricted cooperation," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 56-65.
  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. 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.
  5. 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.
  6. Bjorndal, E. & Hamers, H.J.M. & Koster, M.A.L., 2003. "Cost Allocation in a Bank ATM Network," Discussion Paper 2003-13, Tilburg University, Center for Economic Research.
  7. repec:spr:compst:v:59:y:2004:i:3:p:405-418 is not listed on IDEAS
  8. 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.
  9. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
  10. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
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