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

Agnieszka Rusinowska

No 729, Working Papers from Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon

Abstract: Abstract. 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.

Keywords: Hoede-Bakker index; inclination vector; probability distribution; Shapley-Shubik index (search for similar items in EconPapers)
JEL-codes: C7 D7 (search for similar items in EconPapers)
Pages: 16 pages
Date: 2007-12
New Economics Papers: this item is included in nep-gth
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ftp://ftp.gate.cnrs.fr/RePEc/2007/0729.pdf (application/pdf)

Related works:
Working Paper: Modifying the Hoede-Bakker index to the Shapley-Shubik and Holler-Packel indices (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:gat:wpaper:0729

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