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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.".
- Penrose_method wikiPageExternalLink 824.html.
- Penrose_method wikiPageExternalLink weighted6.html.
- Penrose_method wikiPageID "3264087".
- Penrose_method wikiPageLength "25533".
- Penrose_method wikiPageOutDegree "22".
- Penrose_method wikiPageRevisionID "680627743".
- Penrose_method wikiPageWikiLink Amsterdam_Treaty.
- Penrose_method wikiPageWikiLink Banzhaf_power_index.
- Penrose_method wikiPageWikiLink Bundesrat_of_Germany.
- Penrose_method wikiPageWikiLink Category:Voting_systems.
- Penrose_method wikiPageWikiLink Council_of_Europe.
- Penrose_method wikiPageWikiLink Electoral_College_(United_States).
- Penrose_method wikiPageWikiLink European_Union.
- Penrose_method wikiPageWikiLink Eurostat.
- Penrose_method wikiPageWikiLink INFUSA.
- Penrose_method wikiPageWikiLink International_Network_for_a_United_Nations_Second_Assembly.
- Penrose_method wikiPageWikiLink Jagiellonian_Compromise.
- Penrose_method wikiPageWikiLink Lionel_Penrose.
- Penrose_method wikiPageWikiLink List_of_countries_and_dependencies_by_population.
- Penrose_method wikiPageWikiLink List_of_countries_by_population.
- Penrose_method wikiPageWikiLink Penrose_square_root_law.
- Penrose_method wikiPageWikiLink Penrose–Banzhaf_index.
- Penrose_method wikiPageWikiLink Square_root.
- Penrose_method wikiPageWikiLink Treaty_of_Lisbon.
- Penrose_method wikiPageWikiLink Treaty_of_Nice.
- Penrose_method wikiPageWikiLink United_Nations_Parliamentary_Assembly.
- Penrose_method wikiPageWikiLink United_States_presidential_election_in_Florida,_2000.
- Penrose_method wikiPageWikiLink Voting_in_the_Council_of_the_European_Union.
- Penrose_method wikiPageWikiLink World_War_II.
- Penrose_method wikiPageWikiLinkText "Penrose method".
- Penrose_method wikiPageWikiLinkText "Penrose".
- Penrose_method wikiPageWikiLinkText "square root voting".
- Penrose_method hasPhotoCollection Penrose_method.
- Penrose_method wikiPageUsesTemplate Template:Citation_needed.
- Penrose_method wikiPageUsesTemplate Template:Flag.
- Penrose_method wikiPageUsesTemplate Template:See_also.
- Penrose_method subject Category:Voting_systems.
- Penrose_method hypernym Method.
- Penrose_method type Software.
- Penrose_method type Thing.
- 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 seeAlso Voting.
- Penrose_method seeAlso The_Council_of_the_European_Union.
- Penrose_method sameAs Quadratwurzelgesetz_von_Penrose.
- Penrose_method sameAs m.0923fc.
- Penrose_method sameAs Q1272478.
- Penrose_method sameAs Q1272478.
- Penrose_method wasDerivedFrom Penrose_method?oldid=680627743.
- Penrose_method isPrimaryTopicOf Penrose_method.