A characterization of the single-peaked single-crossing domain

We characterize elections that are simultaneously single-peaked and single-crossing (SPSC), by establishing a connection between this domain and that of minimally rich elections, i.e., elections where each candidate is ranked first by at least one voter. Specifically, we show that an election is bot...

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Main Authors: Elkind, E, Skowron, P, Faliszewski, P
Format: Journal article
Language:English
Published: Springer 2019
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author Elkind, E
Skowron, P
Faliszewski, P
author_facet Elkind, E
Skowron, P
Faliszewski, P
author_sort Elkind, E
collection OXFORD
description We characterize elections that are simultaneously single-peaked and single-crossing (SPSC), by establishing a connection between this domain and that of minimally rich elections, i.e., elections where each candidate is ranked first by at least one voter. Specifically, we show that an election is both single-peaked and single-crossing if and only if it can be obtained from a minimally rich single-crossing election by deleting voters.
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spelling oxford-uuid:8644de56-bb16-44e4-b44e-c75c90885c3d2023-06-09T07:21:21ZA characterization of the single-peaked single-crossing domainJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8644de56-bb16-44e4-b44e-c75c90885c3dEnglishSymplectic Elements at OxfordSpringer2019Elkind, ESkowron, PFaliszewski, PWe characterize elections that are simultaneously single-peaked and single-crossing (SPSC), by establishing a connection between this domain and that of minimally rich elections, i.e., elections where each candidate is ranked first by at least one voter. Specifically, we show that an election is both single-peaked and single-crossing if and only if it can be obtained from a minimally rich single-crossing election by deleting voters.
spellingShingle Elkind, E
Skowron, P
Faliszewski, P
A characterization of the single-peaked single-crossing domain
title A characterization of the single-peaked single-crossing domain
title_full A characterization of the single-peaked single-crossing domain
title_fullStr A characterization of the single-peaked single-crossing domain
title_full_unstemmed A characterization of the single-peaked single-crossing domain
title_short A characterization of the single-peaked single-crossing domain
title_sort characterization of the single peaked single crossing domain
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