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Title data
Kurz, Sascha:
Generalized roll-call model for the Shapley-Shubik index.
Bayreuth
,
2018
. - 19 S.
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Abstract
In 1996 D. Felsenthal and M. Machover considered the following model. An assembly consisting of n voters exercises roll-call. All n! possible orders in which the voters may be called are assumed to be equiprobable. The votes of each voter are independent with expectation 0<p<1 for an individual vote yea{. For a given decision rule v the pivotal voter in a roll-call is the one whose vote finally decides the aggregated outcome. It turned out that the probability to be pivotal is equivalent to the Shapley-Shubik index. Here we give an easy combinatorial proof of this coincidence, further weaken the assumptions of the underlying model, and study generalizations to the case of more than two alternatives.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | simple games; influence; Shapley-Shubik index; several levels of approval |
| Subject classification: | Mathematics Subject Classification Code: 91A12 (91A40 91A80) |
| DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Profile Fields > Emerging Fields > Governance and Responsibility Faculties Profile Fields Profile Fields > Emerging Fields |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-3820-1 |
| Date Deposited: | 14 Aug 2018 08:14 |
| Last Modified: | 14 Mar 2019 14:55 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/3820 |
Available Versions of this Item
-
Generalized roll-call model for the Shapley-Shubik index. (deposited 17 Feb 2016 07:15)
- Generalized roll-call model for the Shapley-Shubik index. (deposited 14 Aug 2018 08:14) [Currently Displayed]
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