Title
A probabilistic synopsis of binary decision rules
Abstract
Decision rules for Yes–No voting systems are placed in a probabilistic framework. Selfdual and permutationally invariant distributions are introduced. Under such distributions, the mean success margin of the majority rule and of the unanimity rule are shown to bound the mean success margin of all other decision rules. For bloc decision rules in the Penrose/Banzhaf model, a product formula for the voters’ influence probabilities is derived. Other indices and the Shapley/Shubik model are also discussed.
Year
DOI
Venue
2010
10.1007/s00355-010-0450-0
Social Choice and Welfare
Keywords
Field
DocType
decision rule,majority rule
Decision rule,Welfare economics,Admissible decision rule,Unanimity,Mathematical economics,Voting,Binary decision diagram,Invariant (mathematics),Probabilistic logic,Majority rule,Mathematics
Journal
Volume
Issue
ISSN
35
3
1432-217X
Citations 
PageRank 
References 
1
0.43
3
Authors
2
Name
Order
Citations
PageRank
Olga Ruff110.43
Friedrich Pukelsheim2369.32