A Mathematical Analysis of an Election System Proposed by Gottlob Frege.
In 1998 a long-lost proposal for an election law by Gottlob Frege (1848–1925) was rediscovered in the Thüringer Universitäts- und Landesbibliothek in Jena, Germany. The method that Frege proposed for the election of representatives of a constituency features a remarkable concern for the representati...
| Publicado en: | Erkenntnis Vol. 87; no. 6; pp. 2609 - 2645 |
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| Autores principales: | , , |
| Formato: | Artículo |
| Publicado: |
Springer Nature
Dec2022
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| Materias: | |
| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=160089229&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 160089229 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 01650106 5KZ jtl: Erkenntnis issn: 01650106 maglogo: N pubinfo: dt: Dec2022 vid: 87 iid: 6 pid: 237 pub: Springer Nature artinfo: ui: 160089229 10.1007/s10670-020-00318-0 ppf: 2609 ppct: 36 formats: fmt: – @attributes: type: T – @attributes: type: P size: 1.7MB tig: atl: A Mathematical Analysis of an Election System Proposed by Gottlob Frege. aug: au: Harrenstein, Paul Lackner, Marie-Louise Lackner, Martin affil: Department of Computer Science, University of Oxford, Wolfson Building, 15 Parks Road, OX1 3QD, Oxford, UK Herford College, University of Oxford, Catte Street, Oxford, UK Christian Doppler Laboratory for Artificial Intelligence and Optimization for Planning and Scheduling, TU Wien, Favoritenstraße 9-11, Vienna, Austria Institute of Logic and Computation, TU Wien, Favoritenstraße 9-11, Vienna, Austria su: Frege, Gottlob, 1848-1925 Political attitudes Election law Mathematical analysis Voting Representative government Elections Jena (Germany) sug: subj: Jena (Germany) Frege, Gottlob, 1848-1925 Political attitudes Election law Mathematical analysis Voting Representative government Elections keyword: Apportionment Gottlob Frege (1848–1925) Proportional representation Proportionality Representative democracy ab: In 1998 a long-lost proposal for an election law by Gottlob Frege (1848–1925) was rediscovered in the Thüringer Universitäts- und Landesbibliothek in Jena, Germany. The method that Frege proposed for the election of representatives of a constituency features a remarkable concern for the representation of minorities. Its core idea is that votes cast for unelected candidates are carried over to the next election, while elected candidates incur a cost of winning. We prove that this sensitivity to past elections guarantees a proportional representation of political opinions in the long run. We find that through a slight modification of Frege's original method even stronger proportionality guarantees can be achieved. This modified version of Frege's method also provides a novel solution to the apportionment problem, which is distinct from all of the best-known apportionment methods, while still possessing noteworthy proportionality properties. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Erkenntnis is a copyright of Springer, 2022. All Rights Reserved. item: Erkenntnis holder: Springer Nature dt: @attributes: year: 2022 holdings: @attributes: islocal: N |
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