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Multiwinner approval rules as apportionment methods

Bibliographic Data

ID6298945
AuthorsMarkus Brill (0000-0001-9509-7017, Technische Universität Berlin, Berlin, Germany), Jean‐françois Laslier (0000-0001-8334-1350, Paris School of Economics), Piotr Skowron (0000-0002-4453-3955, University of Warsaw, Warszawa, Poland, corresponding author)
Year2018
Volume30
Issue3
Pages358-382
Publication date2018-07-01
Open AccessYes
TypeARTICLE
VenueJournal of Theoretical Politics (JOURNAL)
Journal identifiersISSN: 0951-6298 • E-ISSN: 1460-3667
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1177/0951629818775518
OpenAlexW2558040216
LanguageEN
Citations received4
References cited26

We establish a link between multiwinner elections and apportionment problems by showing how approval-based multiwinner election rules can be interpreted as methods of apportionment. We consider several multiwinner rules and observe that some, but not all, of them induce apportionment methods that are well-established in the literature and in the actual practice of representation, be it proportional or non-proportional. For instance, we show that proportional approval voting induces the D’Hondt method and that Monroe’s rule induces the largest remainder method. Our approach also yields apportionment methods implementing degressive proportionality. Furthermore, we consider properties of apportionment methods and exhibit multiwinner rules that induce apportionment methods satisfying these properties

Apportionment · Majority rule · Mathematical economics · Operations research · Political science · Politics · Proportional representation · Proportionality (law · Remainder · Representation (politics · Voting · Computer Science · Electoral Systems and Political Participation · Game Theory and Voting Systems · Law · Local Government Finance and Decentralization · Mathematics

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  • Using multiwinner voting to search for movies

    Open Access•Grzegorz Gawron, Piotr Faliszewski•Theory and Decision•2026

  • Multiwinner approval voting

    Open Access•Steven J Bram, D Marc Kilgour et al.•Public Choice•2019

  • Faces on the Ballot

    Alan Renwick, Jean-Benoit Pilet•Faces on the Ballot•2016

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    L S Penrose•Journal Of The Royal Statistical…•1946

  • Proportional Representation

    Open Access•Friedrich Pukelsheim•Proportional Representation•2014

  • Strategic voting in multi-winner elections with approval balloting

    Open Access•Jean‐françois Laslier, Karine Van Der Straeten•Social Choice and Welfare•2016

  • Computing the optimal weights in a utilitarian model of apportionment

    Open Access•Antonin Macé, Rafael Treibich•Mathematical Social Sciences•2012

  • Why not proportional

    Open Access•Jean-François Laslier, Jean‐françois Laslier•Mathematical Social Sciences•2012

  • A minimax procedure for electing committees

    Open Access•Steven J Bram, D Marc Kilgour et al.•Public Choice•2007

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    Open Access•Steven J Bram, D Marc Kilgour et al.•Public Choice•2019

  • Optimal Apportionment

    Yukio Koriyama, Jean-François Laslier et al.•Journal of Political Economy•2013

  • Electoral Incentives for Political Corruption under Open-List Proportional Representation

    Eric C C Chang•The Journal of Politics•2005

  • Electoral Systems and Legislators’ Constituency Effort

    Open Access•Audrey André, Sam Depauw et al.•Comparative Political Studies•2015

  • Electoral Strategy under Open-List Proportional Representation

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  • Representative Deliberations and Representative Decisions

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  • Fully Proportional Representation

    Open Access•Burt L Monroe•American Political Science Review•1995

Citations per year0.57
Citation span2019 - 2026 (8)
Highly citedNo

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