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- Penrose_method abstract "The Penrose method (or square-root method) is a method devised in 1946 by Professor Lionel Penrose for allocating the voting weights of delegations (possibly a single representative) in decision-making bodies proportional to the square root of the population represented by this delegation. This is justified by the fact, that due to the square root law of Penrose, the a priori voting power (as defined by the Penrose–Banzhaf index) of a member of a voting body is inversely proportional to the square root of its size. Under certain conditions, this allocation achieves equal voting powers for all people represented, independent of the size of their constituency. Proportional allocation would result in excessive voting powers for the electorates of larger constituencies.A precondition for the appropriateness of the method is en bloc voting of the delegations in the decision-making body: a delegation cannot split its votes; rather, each delegation has just a single vote to which weights are applied proportional to the square root of the population they represent. Another precondition is that the opinions of the people represented are statistically independent. The representativity of each delegation results from statistical fluctuations within the country, and then, according to Penrose, "small electorate are likely to obtain more representative governments than large electorates." A mathematical formulation of this idea results in the square root rule.The Penrose method is not currently being used for any notable decision-making body, but it has been proposed for apportioning representation in a United Nations Parliamentary Assembly, and for voting in the Council of the European Union. Other bodies where the Penrose method could be appropriate include the US Presidential Electoral College and the Bundesrat of Germany.[citation needed]".
- Penrose_method wikiPageExternalLink 824.html.
- Penrose_method wikiPageExternalLink weighted6.html.
- Penrose_method wikiPageID "3264087".
- Penrose_method wikiPageRevisionID "568582328".
- Penrose_method hasPhotoCollection Penrose_method.
- Penrose_method subject Category:Voting_systems.
- Penrose_method type Abstraction100002137.
- Penrose_method type Cognition100023271.
- Penrose_method type Content105809192.
- Penrose_method type Idea105833840.
- Penrose_method type LegalSystem105903229.
- Penrose_method type Plan105898568.
- Penrose_method type PlanOfAction105902545.
- Penrose_method type PsychologicalFeature100023100.
- Penrose_method type System105902872.
- Penrose_method type VotingSystem105904135.
- Penrose_method type VotingSystems.
- Penrose_method comment "The Penrose method (or square-root method) is a method devised in 1946 by Professor Lionel Penrose for allocating the voting weights of delegations (possibly a single representative) in decision-making bodies proportional to the square root of the population represented by this delegation.".
- Penrose_method label "Penrose method".
- Penrose_method label "Quadratwurzelgesetz von Penrose".
- Penrose_method sameAs Quadratwurzelgesetz_von_Penrose.
- Penrose_method sameAs m.0923fc.
- Penrose_method sameAs Q1272478.
- Penrose_method sameAs Q1272478.
- Penrose_method sameAs Penrose_method.
- Penrose_method wasDerivedFrom Penrose_method?oldid=568582328.
- Penrose_method isPrimaryTopicOf Penrose_method.