Modifying the Hoede-Bakker index to the Shapley-Shubik and Holler-Packel indices
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.
|Date of creation:||Dec 2007|
|Contact details of provider:|| Postal: 93, chemin des Mouilles - B.P.167 69131 - Ecully cedex|
Phone: 33(0)472 29 30 89
Fax: 33(0)47229 30 90
Web page: http://www.gate.cnrs.fr/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Agnieszka Rusinowska, 2007.
"The not-preference-based Hoede-Bakker index,"
- Agnieszka Rusinowska, 2007. "The not-preference-based Hoede-Bakker index," Working Papers 0704, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
When requesting a correction, please mention this item's handle: RePEc:gat:wpaper:0729. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Nelly Wirth)
If references are entirely missing, you can add them using this form.