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The maximin support method : an extension of the D’Hondt method to approval-based multiwinner elections
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Sánchez-Fernández, Luis, Fernández-García, Norberto, Fisteus, Jesús A. and Brill, Markus (2024) The maximin support method : an extension of the D’Hondt method to approval-based multiwinner elections. Mathematical Programming, 203 . pp. 107-134. doi:10.1007/s10107-022-01805-8 ISSN 0025-5610.
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Official URL: http://dx.doi.org/10.1007/s10107-022-01805-8
Abstract
We propose the maximin support method, a novel extension of the D’Hondt apportionment method to approval-based multiwinner elections. The maximin support method is a sequential procedure that aims to maximize the voter support of the least supported elected candidate. It can be computed efficiently and satisfies (adjusted versions of) the main properties of the original D’Hondt method: house monotonicity, population monotonicity, and proportional representation. We also establish a close relationship between the maximin support method and alternative D’Hondt extensions due to Phragmén.
Item Type: | Journal Article | ||||||||||||
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Subjects: | J Political Science > JF Political institutions (General) Q Science > QA Mathematics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||||||||||
Library of Congress Subject Headings (LCSH): | Apportionment -- Mathematical models, Representative government and representation, Game theory -- Mathematical models, Voting, Plural -- Data processing, Intelligent agents (Computer software) -- Mathematical models, Voting -- Decision making | ||||||||||||
Journal or Publication Title: | Mathematical Programming | ||||||||||||
Publisher: | Springer | ||||||||||||
ISSN: | 0025-5610 | ||||||||||||
Official Date: | January 2024 | ||||||||||||
Dates: |
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Volume: | 203 | ||||||||||||
Page Range: | pp. 107-134 | ||||||||||||
DOI: | 10.1007/s10107-022-01805-8 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
Date of first compliant deposit: | 2 November 2022 | ||||||||||||
Date of first compliant Open Access: | 2 November 2022 | ||||||||||||
RIOXX Funder/Project Grant: |
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