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U-CYCLES IN n-PERSON TU-GAMES WITH ONLY 1, n - 1 AND n-PERSON PERMISSIBLE COALITIONS

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  • JUAN CARLOS CESCO

    ()
    (Instituto de Matemática Aplicada San Luis (UNSL-CONICET), Av. Ejército de los Andes 950, 5700 San Luis, Argentina)

  • ANA LUCÍA CALÍ

    ()
    (Departamento de Matemática (U.N. San Luis), Chacabuco y Pedernera, 5700 San Luis, Argentina)

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    Abstract

    It has been recently proved that the non-existence of certain type of cycles of pre-imputation, fundamental cycles, is equivalent to the balancedness of a TU-games (Cesco (2003)). In some cases, the class of fundamental cycles can be narrowed and still obtain a characterization theorem. In this paper we prove that existence of maximal U-cycles, which are related to a transfer scheme designed for computing a point in the core of a game, is condition necessary and sufficient for a TU-game be non-balanced, provided n - 1 and n-person are the only coalitions with non-zero value. These games are strongly related to games with only 1, n - 1 and n-person permissible coalitions (Maschler (1963)).

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

    Volume (Year): 08 (2006)
    Issue (Month): 03 ()
    Pages: 355-368

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    Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:03:p:355-368

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    Related research

    Keywords: Non balanced games; cycles; transfer schemes;

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    Cited by:
    1. Cesco, Juan Carlos, 2008. "A general characterization for non-balanced games in terms of U-cycles," European Journal of Operational Research, Elsevier, vol. 191(2), pages 409-415, December.

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