Four different approaches to the normalized Banzhaf values of games with a priori unions

Honorata Sosnowska

Banach Center Publications (2006)

  • Volume: 71, Issue: 1, page 267-273
  • ISSN: 0137-6934

Abstract

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Applying the Owen construction of value of games with a priori unions to the normalized Banzhaf value gives a new type of the normalized Banzhaf value for games with a priori unions. Using a simple example of a four-person voting game with a priori unions, it is shown that this value is different from those known in the literature: the normalized Owen-Banzhaf value, the Banzhaf share function defined by van der Laan and van den Brink and the Banzhaf index for simple games with a priori unions introduced by Malawski. Thus, all four notions are distinct.

How to cite

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Honorata Sosnowska. "Four different approaches to the normalized Banzhaf values of games with a priori unions." Banach Center Publications 71.1 (2006): 267-273. <http://eudml.org/doc/282072>.

@article{HonorataSosnowska2006,
abstract = {Applying the Owen construction of value of games with a priori unions to the normalized Banzhaf value gives a new type of the normalized Banzhaf value for games with a priori unions. Using a simple example of a four-person voting game with a priori unions, it is shown that this value is different from those known in the literature: the normalized Owen-Banzhaf value, the Banzhaf share function defined by van der Laan and van den Brink and the Banzhaf index for simple games with a priori unions introduced by Malawski. Thus, all four notions are distinct.},
author = {Honorata Sosnowska},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {267-273},
title = {Four different approaches to the normalized Banzhaf values of games with a priori unions},
url = {http://eudml.org/doc/282072},
volume = {71},
year = {2006},
}

TY - JOUR
AU - Honorata Sosnowska
TI - Four different approaches to the normalized Banzhaf values of games with a priori unions
JO - Banach Center Publications
PY - 2006
VL - 71
IS - 1
SP - 267
EP - 273
AB - Applying the Owen construction of value of games with a priori unions to the normalized Banzhaf value gives a new type of the normalized Banzhaf value for games with a priori unions. Using a simple example of a four-person voting game with a priori unions, it is shown that this value is different from those known in the literature: the normalized Owen-Banzhaf value, the Banzhaf share function defined by van der Laan and van den Brink and the Banzhaf index for simple games with a priori unions introduced by Malawski. Thus, all four notions are distinct.
LA - eng
UR - http://eudml.org/doc/282072
ER -

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