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

Agnieszka Rusinowska

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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, byassuming special probability distributions over all inclination vectors, we construct modificationsof the Hoede-Bakker index that coincide with the Shapley-Shubik index and with the Holler-Packelindex, respectively.

Keywords: Hoede-Bakker index; inclination vector; probability distribution; Shapley-Shubik index; Holler-Packel index (search for similar items in EconPapers)
Date: 2007-12
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00205020
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Published in 2007

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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:hal:journl:halshs-00205020

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