## Title data

Freixas, Josep ; Kurz, Sascha:

**Enumerations of voting systems : Fibonacci sequences and the golden number.**

2012

*Event:* 25th European Conference on Operational Research
, 08.-11.07.2012
, Vilnius, Lithuania.

(Conference item: Conference
,
Speech
)

## Abstract in another language

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.

## Further data

Item Type: | Conference item (Speech) |
---|---|

Refereed: | No |

Additional notes: | Speaker: Josep Freixas |

Keywords: | voting systems; weighted games; Fibonacci numbers |

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 Profile Fields > Emerging Fields Profile Fields > Emerging Fields > Governance and Responsibility Faculties |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 18 Dec 2014 08:16 |

Last Modified: | 18 Dec 2014 08:16 |

URI: | https://eref.uni-bayreuth.de/id/eprint/5147 |