## Title data

Kurz, Sascha:

**The inverse problem for power distributions in committees.**

*In:* Social Choice and Welfare.
Vol. 47
(2016)
Issue 1
.
- pp. 65-88.

ISSN 1432-217X

DOI: https://doi.org/10.1007/s00355-015-0946-8

## Abstract in another language

Several power indices have been introduced in the literature in order to measure the influence of individual committee members on an aggregated decision. Here we ask the inverse question and aim to design voting rules for a committee such that a given desired power distribution is met as closely as possible. We generalize the approach of Alon and Edelman who studied power distributions for the Banzhaf index, where most of the power is concentrated on few coordinates. It turned out that each Banzhaf vector of an n-member committee that is near to such a desired power distribution, also has to be near to the Banzhaf vect

or of a k-member committee. We show that such Alon-Edelman type results exist for other power indices like e.g. the Public Good index or the Coleman index to prevent actions, while such results are principally impossible to derive for e.g. the Johnston index.

## Further data

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

Refereed: | Yes |

Keywords: | simple games; weighted majority games; power indices |

Subject classification: | Mathematics Subject Classification Code: 91B12 (94C10) |

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 Mathematics in Economy Profile Fields > Emerging Fields > Governance and Responsibility Faculties Faculties > Faculty of Mathematics, Physics und Computer Science 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 500 Science > 510 Mathematics |

Date Deposited: | 28 Jun 2016 06:13 |

Last Modified: | 28 Jun 2016 06:13 |

URI: | https://eref.uni-bayreuth.de/id/eprint/33080 |