Publication Type
Working Paper
Version
publishedVersion
Publication Date
12-2004
Abstract
In this note, we demonstrate using two simple examples that generalization of the Banzhaf measure of voter influence to non-binary voting games that requires as starting position a voter’s membership in a winning coalition is likely to incompletely reflect the influence a voter has on the outcome of a game. Generalization of the Banzhaf measure that takes into consideration all possible pivot moves of a voter including those moves originating from a losing coalition will, on the other hand, result in a measure that is proportional to the Penrose measure only in the ternary case.
Keywords
Penrose measure, Banzhaf index, ternary games, multicandidate weighted voting games
Discipline
Econometrics
Research Areas
Econometrics
Volume
25-2004
First Page
1
Last Page
10
Publisher
SMU Economics and Statistics Working Paper Series, Paper No. 25-2004
City or Country
Singapore
Citation
CHUA, Vincent and Ueng, C. H..
On Measuring Influence in Non-Binary Voting Games. (2004). 25-2004, 1-10.
Available at: https://ink.library.smu.edu.sg/soe_research/826
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.