bei Google ScholarTitelangaben
Kurz, Sascha:
Importance in systems with interval decisions.
In: Advances in Complex Systems.
Bd. 21
(2018)
Heft 6-7
.
- 1850024.
ISSN 0219-5259
DOI: https://doi.org/10.1142/S0219525918500248
Abstract
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.
Weitere Angaben
| Publikationsform: | Artikel in einer Zeitschrift |
|---|---|
| Begutachteter Beitrag: | Ja |
| Keywords: | Importance; influence; power; interval decisions; state aggregation; Shapley–Shubik index; Penrose–Banzhaf index |
| Fachklassifikationen: | Mathematics Subject Classification Code: 91B12 (94C10) |
| 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 > Emerging Fields > Governance and Responsibility Fakultäten Profilfelder Profilfelder > Emerging Fields |
| Titel an der UBT entstanden: | Ja |
| Themengebiete aus DDC: | 000 Informatik,Informationswissenschaft, allgemeine Werke > 004 Informatik 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Eingestellt am: | 15 Jan 2019 15:09 |
| Letzte Änderung: | 24 Aug 2023 06:24 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/46924 |