Modifying the Hoede-Bakker index to the Shapley-Shubik and Holler-Packel indices
AbstractAbstract. 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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Bibliographic InfoPaper provided by Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure in its series Working Papers with number 0729.
Length: 16 pages
Date of creation: Dec 2007
Date of revision:
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More information through EDIRC
Hoede-Bakker index; inclination vector; probability distribution; Shapley-Shubik index;
Other versions of this item:
- Agnieszka Rusinowska, 2007. "Modifying the Hoede-Bakker index to the Shapley-Shubik and Holler-Packel indices," Post-Print halshs-00205020, HAL.
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D7 - Microeconomics - - Analysis of Collective Decision-Making
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