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Un axioma de nulidad para juegos en forma de función de partición
[A nullity axiom for games in partition function form]

Author

Listed:
  • Joss Sánchez-Pérez

    (Universidad Autónoma de San Luis Potosí (México))

  • Antelmo Lozano-Martínez

    (Universidad Autónoma de San Luis Potosí (México))

Abstract

Inspirándose en los fundamentos de Shapley, Myerson (1977) propuso una solución única para juegos en forma de función de partición caracterizados por tres axiomas: linealidad, simetría y el axioma del portador. Esta investigación tiene como objetivo determinar si se puede llegar a una caracterización alternativa mediante la inclusión de un axioma de nulidad. Hasta donde sabemos, no existe tal caracterización en la literatura actual. Se presenta una propuesta para una definición de jugador nulo, revelando que la caracterización derivada no es única. En cambio, se presenta una familia de soluciones parametrizadas, demostrando la diversidad de reparticiones potenciales en este contexto.

Suggested Citation

  • Joss Sánchez-Pérez & Antelmo Lozano-Martínez, 2025. "Un axioma de nulidad para juegos en forma de función de partición [A nullity axiom for games in partition function form]," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 40, pages 1-18.
  • Handle: RePEc:pab:rmcpee:v:40:y:2025:n:4
    DOI: https://doi.org/10.46661/rev.metodoscuant.econ.empresa.11064
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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