## Title data

Kurz, Sascha:

**Importance in systems with interval decisions.**

*In:* Advances in Complex Systems.
Vol. 21
(2018)
Issue 6/7
.
- Eintrag 1850024.

ISSN 0219-5259

DOI: https://doi.org/10.1142/S0219525918500248

## Abstract in another language

Given a system where the real-valued states of the agents are aggregated by a function to a real-valued state of the entire system, we are interested in the influence or importance of different agents for that function. This generalizes the notion of power indices for binary voting systems to decisions over interval policy spaces and has applications in economics, engineering, security analysis, and other disciplines. Here, we study the question of importance in systems with interval decisions. Based on the classical Shapley–Shubik and Penrose–Banzhaf index, from binary voting, we motivate and analyze two importance measures. Additionally, we present some results for parametric classes of aggregation functions.

## Further data

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

Refereed: | Yes |

Keywords: | Importance; influence; power; interval decisions; state aggregation; Shapley–Shubik index; Penrose–Banzhaf index |

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

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 > 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: | 15 Jan 2019 15:09 |

Last Modified: | 15 Jan 2019 15:09 |

URI: | https://eref.uni-bayreuth.de/id/eprint/46924 |