Abstentions in the German Bundesrat and ternary decision rules
- Ternary decision rules are analyzed that allow for abstentions, in addition to Yea- and Nay-votes. The German Bundesrat serves as a prime example. We show that the decision-making efficiency of the Bundesrat would increase if abstentions were allowed. Generally, a formula for the mean success margin of a ternary decision rule is derived assuming selfdual and permutationally invariant distributions. Specifically, the ternary Penrose/Banzhaf model is discussed in detail. The influence probabilities of voters, and the influence sensitivity of the rule are evaluated.
| Author: | Andreas Käufl, Friedrich PukelsheimGND, Olga Ruff |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-11460 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1381 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2010-04) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2010/04/19 |
| Tag: | Kollektiventscheidung ternary decision rules |
| GND-Keyword: | Deutschland / Bundesrat; Wahlsystem; Wahlrecht; Stimmenthaltung |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Stochastik und ihre Anwendungen | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  Deutsches Urheberrecht |
