TY - JOUR
T1 - A New Axiomatization of the Banzhaf Index for Games with Abstention
AU - Bernardi, Giulia
PY - 2018
Y1 - 2018
N2 - (3, 2)-Simple games are a model for voting situation in which players can vote not only in favour or against a proposal but they can also abstain. Also in this model, power indices are used to evaluate the power of players. In particular, the Banzhaf index and the Shapley–Shubik index have been generalized to define analogous power indices in the context of games with abstention. In this work we provide a new axiomatization of the Banzhaf index for games with abstention, to underline its properties and increase the justification of the use of this index as a solution concept also in the family of games with abstention.
AB - (3, 2)-Simple games are a model for voting situation in which players can vote not only in favour or against a proposal but they can also abstain. Also in this model, power indices are used to evaluate the power of players. In particular, the Banzhaf index and the Shapley–Shubik index have been generalized to define analogous power indices in the context of games with abstention. In this work we provide a new axiomatization of the Banzhaf index for games with abstention, to underline its properties and increase the justification of the use of this index as a solution concept also in the family of games with abstention.
KW - Abstention
KW - Arts and Humanities (miscellaneous)
KW - Axioms
KW - Decision Sciences (all)
KW - Game theory
KW - Management of Technology and Innovation
KW - Power indices
KW - Social Sciences (all)
KW - Strategy and Management1409 Tourism, Leisure and Hospitality Management
KW - Voting
KW - Abstention
KW - Arts and Humanities (miscellaneous)
KW - Axioms
KW - Decision Sciences (all)
KW - Game theory
KW - Management of Technology and Innovation
KW - Power indices
KW - Social Sciences (all)
KW - Strategy and Management1409 Tourism, Leisure and Hospitality Management
KW - Voting
UR - http://hdl.handle.net/10807/133914
UR - http://www.kluweronline.com/issn/0926-2644
U2 - 10.1007/s10726-017-9546-6
DO - 10.1007/s10726-017-9546-6
M3 - Article
SN - 0926-2644
VL - 27
SP - 165
EP - 177
JO - Group Decision and Negotiation
JF - Group Decision and Negotiation
ER -