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.

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Author:Andreas Käufl, Friedrich PukelsheimGND, Olga Ruff
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/1381
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2010-04)
Publishing Institution:Universität Augsburg
Release Date:2010/04/19
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