Title data
Kurz, Sascha:
Generalized rollcall model for the ShapleyShubik index.
Bayreuth
,
2018
.  19 p.
This is the latest version of this item.
Abstract in another language
In 1996 D. Felsenthal and M. Machover considered the following model. An assembly consisting of n voters exercises rollcall. 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 rollcall is the one
whose vote finally decides the aggregated outcome. It turned out that the probability to be pivotal
is equivalent to the ShapleyShubik 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; ShapleyShubik index; several levels of approval 
Subject classification:  Mathematics Subject Classification Code: 91A12 (91A40 91A80) 
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 Mathematics in Economy Profile Fields > Emerging Fields > Governance and Responsibility Faculties Profile Fields Profile Fields > Emerging Fields 
Result of work at the UBT:  Yes 
DDC Subjects:  000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics 
Date Deposited:  14 Aug 2018 08:19 
Last Modified:  14 Mar 2019 14:56 
URI:  https://eref.unibayreuth.de/id/eprint/45484 
Available Versions of this Item

Generalized rollcall model for the ShapleyShubik index. (deposited 20 Feb 2016 22:00)
 Generalized rollcall model for the ShapleyShubik index. (deposited 14 Aug 2018 08:19) [Currently Displayed]