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U-CYCLES INn-PERSON TU-GAMES WITH ONLY 1,n - 1ANDn-PERSON PERMISSIBLE COALITIONS

Author

Listed:
  • 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)

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 aTU-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 maximalU-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 aTU-game be non-balanced, providedn - 1andn-person are the only coalitions with non-zero value. These games are strongly related to games with only 1,n - 1andn-person permissible coalitions (Maschler (1963)).

Suggested Citation

  • Juan Carlos Cesco & Ana Lucía Calí, 2006. "U-CYCLES INn-PERSON TU-GAMES WITH ONLY 1,n - 1ANDn-PERSON PERMISSIBLE COALITIONS," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(03), pages 355-368.
    • Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:03:n:s0219198906000965
    DOI: 10.1142/S0219198906000965
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    Cited by:

    1. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, July.

    More about this item

    Keywords

    Non balanced games; cycles; transfer schemes;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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