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A Value with Incomplete Communication

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  • Hamiache, Gerard

Abstract

The aim of this paper is to present a new value of a cooperative game for the case of limited communication between players. The communication system we consider may be represented by a simple graph, that is, only pairwise meetings can occur and some of them are not permitted. An associated game is defined and the value has to verify a consistency axiom.
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Suggested Citation

  • Hamiache, Gerard, 1999. "A Value with Incomplete Communication," Games and Economic Behavior, Elsevier, vol. 26(1), pages 59-78, January.
    • Handle: RePEc:eee:gamebe:v:26:y:1999:i:1:p:59-78
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    References listed on IDEAS

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    1. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    2. Amer, Rafel & Carreras, Francesc, 1995. "Games and Cooperation Indices," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(3), pages 239-258.
    3. Rosenthal, Edward C., 1992. "Coalition formation under limited communication," Games and Economic Behavior, Elsevier, vol. 4(3), pages 402-421, July.
    4. 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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    JEL classification:

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

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