volume 163 issue 2 pages 370-387

A decisiveness index for simple games

Publication typeJournal Article
Publication date2005-06-01
scimago Q1
wos Q1
SJR2.239
CiteScore13.2
Impact factor6.0
ISSN03772217, 18726860
Industrial and Manufacturing Engineering
General Computer Science
Information Systems and Management
Modeling and Simulation
Management Science and Operations Research
Abstract
The decisiveness index introduced in this paper is designed to provide a normalized measure of the agility of all simple games, primarily viewed as collective decision-making mechanisms. We study the mathematical properties of the index and derive different axiomatic characterizations for it. Moreover, a close relationship is shown to the Banzhaf index of power––for which twice the decisiveness index plays the role of potential function––that gives rise to an effective computational procedure. Some real-world examples illustrate the usefulness of the decisiveness index, together with the Banzhaf power index, in applications to political science.
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GOST |
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GOST Copy
Carreras F. A decisiveness index for simple games // European Journal of Operational Research. 2005. Vol. 163. No. 2. pp. 370-387.
GOST all authors (up to 50) Copy
Carreras F. A decisiveness index for simple games // European Journal of Operational Research. 2005. Vol. 163. No. 2. pp. 370-387.
RIS |
Cite this
RIS Copy
TY - JOUR
DO - 10.1016/j.ejor.2003.06.041
UR - https://doi.org/10.1016/j.ejor.2003.06.041
TI - A decisiveness index for simple games
T2 - European Journal of Operational Research
AU - Carreras, Francesc
PY - 2005
DA - 2005/06/01
PB - Elsevier
SP - 370-387
IS - 2
VL - 163
SN - 0377-2217
SN - 1872-6860
ER -
BibTex |
Cite this
BibTex (up to 50 authors) Copy
@article{2005_Carreras,
author = {Francesc Carreras},
title = {A decisiveness index for simple games},
journal = {European Journal of Operational Research},
year = {2005},
volume = {163},
publisher = {Elsevier},
month = {jun},
url = {https://doi.org/10.1016/j.ejor.2003.06.041},
number = {2},
pages = {370--387},
doi = {10.1016/j.ejor.2003.06.041}
}
MLA
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MLA Copy
Carreras, Francesc. “A decisiveness index for simple games.” European Journal of Operational Research, vol. 163, no. 2, Jun. 2005, pp. 370-387. https://doi.org/10.1016/j.ejor.2003.06.041.