Four different approaches to the normalized Banzhaf values of games with a priori unions
Volume 71 / 2006
Banach Center Publications 71 (2006), 267-273
MSC: Primary 91A12.
DOI: 10.4064/bc71-0-22
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.
