Modifying the Hoede-Bakker index to the Shapley-Shubik and Holler-Packel indices - HAL-SHS - Sciences de l'Homme et de la Société Accéder directement au contenu
Autre Publication Scientifique Année : 2007

Modifying the Hoede-Bakker index to the Shapley-Shubik and Holler-Packel indices

Résumé

In the paper, we present some modifications of the Hoede-Bakker index defined in a social network in which players may influence each other. Due to influences of the other actors, the final decision of a player may be different from his original inclination. These modifications are defined for an arbitrary probability distribution over all inclination vectors. In particular, they concern a situation in which the inclination vectors may be not equally probable. Furthermore, by
assuming special probability distributions over all inclination vectors, we construct modifications
of the Hoede-Bakker index that coincide with the Shapley-Shubik index and with the Holler-Packel
index, respectively.
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Dates et versions

halshs-00205020 , version 1 (16-01-2008)

Identifiants

  • HAL Id : halshs-00205020 , version 1

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Agnieszka Rusinowska. Modifying the Hoede-Bakker index to the Shapley-Shubik and Holler-Packel indices. 2007. ⟨halshs-00205020⟩
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