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Multiwinner analogues of the plurality rule: axiomatic and algorithmic perspectives

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cris.lastimport.scopus2024-02-12T19:35:10Z
dc.abstract.enWe characterize the class of committee scoring rules that satisfy the fixed-majority criterion. We argue that rules in this class are multiwinner analogues of the single-winner Plurality rule, which is uniquely characterized as the only single-winner scoring rule that satisfies the simple majority criterion. We define top-k-counting committee scoring rules and show that the fixed-majority consistent rules are a subclass of the top-k-counting rules. We give necessary and sufficient conditions for a top-k-counting rule to satisfy the fixed-majority criterion. We show that, for many top-k-counting rules, the complexity of winner determination is high (formally, we show that the problem of deciding if there exists a committee with at least a given score is NP-hard), but we also show examples of rules with polynomial-time winner determination procedures. For some of the computationally hard rules, we provide either exact FPT algorithms or approximate polynomial-time algorithms.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorSkowron, Piotr
dc.contributor.authorFaliszewski, Piotr
dc.contributor.authorTalmon, Nimrod
dc.contributor.authorSlinko, Arkadii
dc.date.accessioned2024-01-25T13:18:18Z
dc.date.available2024-01-25T13:18:18Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.volume51
dc.identifier.doi10.1007/S00355-018-1126-4
dc.identifier.issn0176-1714
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/113158
dc.identifier.weblinkhttps://link.springer.com/article/10.1007/s00355-018-1126-4
dc.languageeng
dc.pbn.affiliationcomputer and information sciences
dc.relation.ispartofSocial Choice and Welfare
dc.relation.pages513–550
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleMultiwinner analogues of the plurality rule: axiomatic and algorithmic perspectives
dc.typeJournalArticle
dspace.entity.typePublication