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Freixas, Josep ; Kurz, Sascha:
Enumerations of voting systems : Fibonacci sequences and the golden number.
2012
Veranstaltung: 25th European Conference on Operational Research
, 08.-11.07.2012
, Vilnius, Lithuania.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung
,
Vortrag
)
Abstract
Voting systems are structures which are numerable as a function of the number of voters. The Fibonacci sequences appear regularly for games with some few types of equivalent players and many of them just differ asymptotically by a multiplicative factor, which is the gold number or its square. The paper summarizes enumerations of voting structures which follow some paterns. Additionally, we also point out some problems, related to values of cooperative games, where the number of possible rankings for the Shapley value in different games is the k-dimensional Catalan numbers.
Weitere Angaben
| Publikationsform: | Veranstaltungsbeitrag (Vortrag) |
|---|---|
| Begutachteter Beitrag: | Nein |
| Zusätzliche Informationen: | Speaker: Josep Freixas |
| Keywords: | voting systems; weighted games; Fibonacci numbers |
| Institutionen der Universität: | Fakultäten > Fakultät für Mathematik, Physik und Informatik Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Wirtschaftsmathematik Profilfelder Profilfelder > Emerging Fields Profilfelder > Emerging Fields > Governance and Responsibility Fakultäten |
| Titel an der UBT entstanden: | Ja |
| Themengebiete aus DDC: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Eingestellt am: | 18 Dec 2014 08:16 |
| Letzte Änderung: | 18 Dec 2014 08:16 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/5147 |