Title data
Kurz, Sascha:
Bounds for the diameter of the weight polytope.
Bayreuth
,
2019
.  16 p.
This is the latest version of this item.
Abstract in another language
A weighted game or a threshold function in general admits different weighted representations even if the sum of nonnegative weights is fixed to one. Here we study bounds for the diameter of the corresponding weight polytope. It turns out that the diameter can be upper bounded in terms of the maximum weight and the quota or threshold. We apply those results to approximation results between power distributions, given by power indices, and weights.
Further data
Item Type:  Preprint, postprint 

Keywords:  Weighted game; threshold function; weighted representations; weight polytope; diameter; power indices 
Subject classification:  Mathematics Subject Classification Code: 91A12 52B12 (91B12) 
Institutions of the University:  Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Profile Fields > Emerging Fields > Governance and Responsibility Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Profile Fields Profile Fields > Emerging Fields 
Result of work at the UBT:  Yes 
DDC Subjects:  000 Computer Science, information, general works > 004 Computer science 300 Social sciences > 320 Political science 300 Social sciences > 330 Economics 500 Science > 510 Mathematics 
Date Deposited:  04 Jul 2019 07:12 
Last Modified:  04 Jul 2019 07:16 
URI:  https://eref.unibayreuth.de/id/eprint/49867 
Available Versions of this Item

Bounds for the diameter of the weight polytope. (deposited 18 Aug 2018 21:00)
 Bounds for the diameter of the weight polytope. (deposited 04 Jul 2019 07:12) [Currently Displayed]