Note on axiomatic properties of apportionment methods for proportional representation systems

  • Apportionment methods are used in proportional representation systems for the apportionment of parliamentary seats among political parties proportionately to their vote counts, or for the allocation of parliamentary seats between geographical districts proportionately to their population figures. From an axiomatic viewpoint apportionment methods ought to satisfy six basic principles: anonymity, balancedness, concordance, decency, exactness, and fairness. It is well-known that the first two principles are implied by the last four. In this note it is shown that the last four principles are logically independent of each other.

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Metadaten
Author:Antonio Palomares, Friedrich PukelsheimGND, Victoriano Ramírez
URN:urn:nbn:de:bvb:384-opus4-962303
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/96230
ISSN:0025-5610OPAC
ISSN:1436-4646OPAC
Parent Title (English):Mathematical Programming
Publisher:Springer Science and Business Media LLC
Place of publication:Berlin
Type:Article
Language:English
Year of first Publication:2024
Publishing Institution:Universität Augsburg
Release Date:2022/06/23
Tag:General Mathematics; Software
Volume:203
First Page:169
Last Page:185
DOI:https://doi.org/10.1007/s10107-022-01835-2
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Stochastik und ihre Anwendungen
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)