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A Mean-Value for Games with Communication Structure

Author

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  • Hamiache, G.

Abstract

We present a new extension of the Shapley value for games with communication structure,only pairwise meetings can occur when some of them are not permitted.The present extension is a new one and in particular it is di .erent from the Myerson value,from the position value,and from a previous value proposed by the author.The motor of this new axiomatization is an associated consistency axiom which has already been used in various contexts.Following this new value,the payment received by a given player in a unanimity game is the arithmetic average of the payments that this player would have received in a selection of smaller unanimity games.

Suggested Citation

  • Hamiache, G., 2000. "A Mean-Value for Games with Communication Structure," G.R.E.Q.A.M. 00a23, Universite Aix-Marseille III.
    • Handle: RePEc:fth:aixmeq:00a23
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    Cited by:

    1. Gérard Hamiache & Florian Navarro, 2020. "Associated consistency, value and graphs," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 227-249, March.
    2. Florian Navarro, 2022. "Associated consistency and the Aumann-Drèze value," Post-Print hal-03678064, HAL.
    3. Gérard Hamiache, 2011. "Graph monotonic values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(2), pages 287-307, July.
    4. Navarro, Florian, 2020. "The center value: A sharing rule for cooperative games on acyclic graphs," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 1-13.
    5. Florian Navarro, 2022. "Associated consistency and the Aumann-Drèze value," Working Papers hal-03678064, HAL.

    More about this item

    Keywords

    COMMUNICATION ; GAMES ; GRAPHS;
    All these keywords.

    JEL classification:

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

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