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Difference between the position value and the Myerson value is due to the existence of coalition structures

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  • Takumi Kongo

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  • Takumi Kongo, 2010. "Difference between the position value and the Myerson value is due to the existence of coalition structures," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 669-675, October.
    • Handle: RePEc:spr:jogath:v:39:y:2010:i:4:p:669-675
    DOI: 10.1007/s00182-009-0211-4
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    References listed on IDEAS

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    1. Marco Slikker, 2005. "A characterization of the position value," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(4), pages 505-514, November.
    2. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    3. André Casajus, 2007. "The position value is the Myerson value, in a sense," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 47-55, September.
    4. Yoshio Kamijo, 2009. "A Two-Step Shapley Value For Cooperative Games With Coalition Structures," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 207-214.
    5. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Other publications TiSEM 5a8473e4-1df7-42df-ad53-f, Tilburg University, School of Economics and Management.
    6. Vazquez-Brage, Margarita & Garcia-Jurado, Ignacio & Carreras, Francesc, 1996. "The Owen Value Applied to Games with Graph-Restricted Communication," Games and Economic Behavior, Elsevier, vol. 12(1), pages 42-53, January.
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    Cited by:

    1. Ichiro Nishizaki & Tomohiro Hayashida & Yuki Shintomi, 2016. "A core-allocation for a network restricted linear production game," Annals of Operations Research, Springer, vol. 238(1), pages 389-410, March.
    2. C. Manuel & E. Ortega & M. del Pozo, 2023. "Marginality and the position value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 459-474, July.
    3. Erfang Shan & Guang Zhang & Xiaokang Shan, 2018. "The degree value for games with communication structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 857-871, September.
    4. Li, Daniel Li & Shan, Erfang, 2019. "The position value and the structures of graphs," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 190-197.
    5. Ichiro Nishizaki & Tomohiro Hayashida & Yuki Shintomi, 2016. "A core-allocation for a network restricted linear production game," Annals of Operations Research, Springer, vol. 238(1), pages 389-410, March.
    6. Napel, Stefan & Nohn, Andreas & Alonso-Meijide, José Maria, 2012. "Monotonicity of power in weighted voting games with restricted communication," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 247-257.
    7. Daniel Li Li & Erfang Shan, 2024. "A new value for communication situations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 100(2), pages 535-551, October.

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