## Title data

Kurz, Sascha ; Samaniego, Dani:

**Enumeration of simple games with two equivalence classes of players.**

*In:* Discrete Applied Mathematics.
Vol. 334
(2023)
.
- pp. 26-35.

ISSN 1872-6771

DOI: https://doi.org/10.1016/j.dam.2023.03.004

## Abstract in another language

Many real-world voting systems consist of voters that occur in just two different types. Indeed, each voting system with a "House" and a "Senate" is of that type. Here we

present structural characterizations and an explicit enumeration formula for these so-called bipartite simple games. This formula extends some partial enumerations of simple games related to completeness or the number of minimal winning coalitions.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Boolean functions; Dedekind numbers; Voting theory; Simple games |

Subject classification: | Mathematics Subject Classification Code: 05A15 91B12 |

Institutions of the University: | 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 |

Result of work at the UBT: | Yes |

DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |

Date Deposited: | 16 Mar 2023 10:33 |

Last Modified: | 16 Mar 2023 10:33 |

URI: | https://eref.uni-bayreuth.de/id/eprint/74266 |