A New Perspective on Impartial and Unbiased Apportionment

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dc.contributor.authorHyman, Rossen
dc.contributor.authorTideman, Nicolausen
dc.date.accessioned2024-02-08T14:09:55Zen
dc.date.available2024-02-08T14:09:55Zen
dc.date.issued2023-08-17en
dc.description.abstractHow to fairly apportion congressional seats to states has been debated for centuries. We present an alternative perspective on apportionment, centered not on states but “families” of states, sets of states with “divisor-method” quotas with the same integer part. We develop “impartial” and “unbiased” apportionment methods. Impartial methods apportion the same number of seats to families of states containing the same total population, whether a family consists of many small-population states or a few large-population states. Unbiased methods apportion seats so that if states are drawn repeatedly from the same distribution, the expected number of seats apportioned to each family equals the expected divisor-method quota for that family.en
dc.description.versionAccepted versionen
dc.format.extentPages 808-822en
dc.format.extent15 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1080/00029890.2023.2241979en
dc.identifier.eissn1930-0972en
dc.identifier.issn0002-9890en
dc.identifier.issue9en
dc.identifier.orcidTideman, Thorwald [0000-0002-3971-5965]en
dc.identifier.urihttps://hdl.handle.net/10919/117899en
dc.identifier.volume130en
dc.language.isoenen
dc.publisherTaylor & Francisen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectApportionmenten
dc.subjectRepresentativesen
dc.subjectDemocracyen
dc.titleA New Perspective on Impartial and Unbiased Apportionmenten
dc.title.serialAmerican Mathematical Monthlyen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/Economicsen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen

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