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Some tests to count paradoxes of power indices

  • Autores: Josep Freixas Bosch Árbol académico, Xavier Molinero Árbol académico
  • Localización: XXX Congreso Nacional de Estadística e Investigación Operativa y de las IV Jornadas de Estadística Pública: actas, 2007, ISBN 978-84-690-7249-3
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen

    • Within the context of weighted simple games we consider some well{known postulates for power indices. We essentially refer to the postulates: of donation, bloc and dominance; and to the power indices by: Banzhaf, Johnston, Deegan{ Packel and Holler. We do not consider the Shapley{Shubik index because it satis¯es all these three postulates.

      If a power index fails to satisfy one of the above postulates then the phe- nomena is regarded to be paradoxical. This work considers the paradoxes that arise from considering a particular postulate and a particular power index.

      The question that naturally appears for each pair (postulate / power index) is: how frequently does the paradox arise? By means of some theoretical methods we intend to partially answer the above question.

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