{"id":"https://openalex.org/W2289435862","doi":"https://doi.org/10.1007/s00355-018-1126-4","title":"Multiwinner analogues of the plurality rule: axiomatic and algorithmic perspectives","display_name":"Multiwinner analogues of the plurality rule: axiomatic and algorithmic perspectives","publication_year":2018,"publication_date":"2018-04-19","ids":{"openalex":"https://openalex.org/W2289435862","doi":"https://doi.org/10.1007/s00355-018-1126-4","mag":"2289435862"},"language":"en","primary_location":{"id":"doi:10.1007/s00355-018-1126-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00355-018-1126-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00355-018-1126-4.pdf","source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00355-018-1126-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000000572","display_name":"Piotr Faliszewski","orcid":"https://orcid.org/0000-0002-0332-4364"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Faliszewski","raw_affiliation_strings":["AGH University, Krak\u00f3w, Poland"],"raw_orcid":"https://orcid.org/0000-0002-0332-4364","affiliations":[{"raw_affiliation_string":"AGH University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Piotr Skowron","orcid":"https://orcid.org/0000-0002-8802-6015"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Piotr Skowron","raw_affiliation_strings":["University of Warsaw, Warsaw, Poland"],"raw_orcid":"https://orcid.org/0000-0002-8802-6015","affiliations":[{"raw_affiliation_string":"University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057105935","display_name":"Arkadii Slinko","orcid":"https://orcid.org/0000-0002-0397-6290"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Arkadii Slinko","raw_affiliation_strings":["University of Auckland, Auckland, New Zealand"],"raw_orcid":"https://orcid.org/0000-0002-0397-6290","affiliations":[{"raw_affiliation_string":"University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064260879","display_name":"Nimrod Talmon","orcid":"https://orcid.org/0000-0001-7916-0979"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Nimrod Talmon","raw_affiliation_strings":["Ben-Gurion University of the Negev, Be\u2019er Sheva, Israel","Ben-Gurion University of the Negev, Be'er Sheva, Israel"],"raw_orcid":"https://orcid.org/0000-0001-7916-0979","affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Be\u2019er Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Ben-Gurion University of the Negev, Be'er Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":3.9798,"has_fulltext":true,"cited_by_count":41,"citation_normalized_percentile":{"value":0.94650052,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"51","issue":"3","first_page":"513","last_page":"550"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7458505630493164},{"id":"https://openalex.org/keywords/scoring-rule","display_name":"Scoring rule","score":0.6790737509727478},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.673621416091919},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.60920250415802},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5623912811279297},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48182645440101624},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4552643597126007},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45297637581825256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35197487473487854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3447454273700714},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32859742641448975},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2044210135936737},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08548277616500854}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7458505630493164},{"id":"https://openalex.org/C63002673","wikidata":"https://www.wikidata.org/wiki/Q2260590","display_name":"Scoring rule","level":2,"score":0.6790737509727478},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.673621416091919},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.60920250415802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5623912811279297},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48182645440101624},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4552643597126007},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45297637581825256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35197487473487854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3447454273700714},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32859742641448975},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2044210135936737},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08548277616500854},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00355-018-1126-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00355-018-1126-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00355-018-1126-4.pdf","source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:sochwe:v:51:y:2018:i:3:d:10.1007_s00355-018-1126-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00355-018-1126-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:researchspace.auckland.ac.nz:2292/47902","is_oa":true,"landing_page_url":"https://hdl.handle.net/2292/47902","pdf_url":null,"source":{"id":"https://openalex.org/S7407055463","display_name":"ResearchSpace (University of Auckland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I154130895","host_organization_name":"University of Auckland","host_organization_lineage":["https://openalex.org/I154130895"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1007/s00355-018-1126-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00355-018-1126-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00355-018-1126-4.pdf","source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5099999904632568,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G2397643429","display_name":null,"funder_award_id":"UOA-254","funder_id":"https://openalex.org/F4320335369","funder_display_name":"Marsden Fund"},{"id":"https://openalex.org/G3405954973","display_name":null,"funder_award_id":"11.11.230.124 (statutory research)","funder_id":"https://openalex.org/F4320324664","funder_display_name":"Akademia G\u00f3rniczo-Hutnicza im. Stanislawa Staszica"},{"id":"https://openalex.org/G347739270","display_name":null,"funder_award_id":"DEC-2012/06/M/ST1/00358","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"},{"id":"https://openalex.org/G3620788657","display_name":null,"funder_award_id":"Research Training Group MDS (GRK 1408)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6478523141","display_name":null,"funder_award_id":"GRK 1408","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8118172366","display_name":null,"funder_award_id":"ERC-StG639945","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G8781231171","display_name":null,"funder_award_id":"Marsden Fund UOA-254","funder_id":"https://openalex.org/F4320320774","funder_display_name":"Royal Society Te Ap\u0101rangi"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320320774","display_name":"Royal Society Te Ap\u0101rangi","ror":"https://ror.org/04tajb587"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320324094","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40"},{"id":"https://openalex.org/F4320324664","display_name":"Akademia G\u00f3rniczo-Hutnicza im. Stanislawa Staszica","ror":"https://ror.org/00bas1c41"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320335369","display_name":"Marsden Fund","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2289435862.pdf","grobid_xml":"https://content.openalex.org/works/W2289435862.grobid-xml"},"referenced_works_count":77,"referenced_works":["https://openalex.org/W3464401","https://openalex.org/W6335828","https://openalex.org/W147381771","https://openalex.org/W967083285","https://openalex.org/W1238745702","https://openalex.org/W1491138909","https://openalex.org/W1500512125","https://openalex.org/W1517036688","https://openalex.org/W1528175708","https://openalex.org/W1575960470","https://openalex.org/W1578116143","https://openalex.org/W1666585835","https://openalex.org/W1680189815","https://openalex.org/W1696166066","https://openalex.org/W1859600792","https://openalex.org/W1969569988","https://openalex.org/W1976060283","https://openalex.org/W2011039300","https://openalex.org/W2019404063","https://openalex.org/W2047846903","https://openalex.org/W2060907774","https://openalex.org/W2063984238","https://openalex.org/W2066855419","https://openalex.org/W2088727654","https://openalex.org/W2110060186","https://openalex.org/W2110362180","https://openalex.org/W2114616381","https://openalex.org/W2114660707","https://openalex.org/W2124164512","https://openalex.org/W2124837549","https://openalex.org/W2125453995","https://openalex.org/W2127882486","https://openalex.org/W2131891143","https://openalex.org/W2143996311","https://openalex.org/W2168205737","https://openalex.org/W2181533063","https://openalex.org/W2187589363","https://openalex.org/W2197611009","https://openalex.org/W2200875958","https://openalex.org/W2206071134","https://openalex.org/W2282754360","https://openalex.org/W2293218619","https://openalex.org/W2293358884","https://openalex.org/W2294076618","https://openalex.org/W2322270235","https://openalex.org/W2490950911","https://openalex.org/W2493735294","https://openalex.org/W2494707969","https://openalex.org/W2508201043","https://openalex.org/W2521628013","https://openalex.org/W2559235980","https://openalex.org/W2566299774","https://openalex.org/W2576604831","https://openalex.org/W2578200513","https://openalex.org/W2588144518","https://openalex.org/W2601111663","https://openalex.org/W2604478129","https://openalex.org/W2606550175","https://openalex.org/W2740017358","https://openalex.org/W2772354143","https://openalex.org/W2807993682","https://openalex.org/W2902187092","https://openalex.org/W2913688336","https://openalex.org/W2914414140","https://openalex.org/W2949127983","https://openalex.org/W2950188968","https://openalex.org/W2950213542","https://openalex.org/W2952522437","https://openalex.org/W2964275919","https://openalex.org/W2972175238","https://openalex.org/W3099446300","https://openalex.org/W3103182299","https://openalex.org/W3118655244","https://openalex.org/W3137712949","https://openalex.org/W3154408585","https://openalex.org/W4230202076","https://openalex.org/W4292230561"],"related_works":["https://openalex.org/W2604390721","https://openalex.org/W2008940396","https://openalex.org/W4301500108","https://openalex.org/W1585007175","https://openalex.org/W2951502598","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W178365807","https://openalex.org/W3125834568","https://openalex.org/W1974024402"],"abstract_inverted_index":{"We":[0,13,44,64,79],"characterize":[1],"the":[2,10,24,33,40,53,61,76,86,97,132],"class":[3,19],"of":[4,23,60,88,99,122,131],"committee":[5,47,105],"scoring":[6,36,48],"rules":[7,16,49,56,123],"that":[8,15,38,52,96],"satisfy":[9,75],"fixed-majority":[11,54,77],"criterion.":[12,43,78],"argue":[14],"in":[17],"this":[18],"are":[20,57],"multiwinner":[21],"analogues":[22],"single-winner":[25,35],"Plurality":[26],"rule,":[27],"which":[28],"is":[29,91,112],"uniquely":[30],"characterized":[31],"as":[32],"only":[34],"rule":[37,73],"satisfies":[39],"simple":[41],"majority":[42],"define":[45],"top-k-counting":[46,62,72,84],"and":[50,67],"show":[51,80,95,120],"consistent":[55],"a":[58,71,104,109],"subclass":[59],"rules.":[63],"give":[65],"necessary":[66],"sufficient":[68],"conditions":[69],"for":[70,82],"to":[74],"that,":[81],"many":[83],"rules,":[85,135],"complexity":[87],"winner":[89,126],"determination":[90,127],"high":[92],"(formally,":[93],"we":[94,118,136],"problem":[98],"deciding":[100],"if":[101],"there":[102],"exists":[103],"with":[106,124],"at":[107],"least":[108],"given":[110],"score":[111],"$${\\mathrm":[113],"{NP}}$$":[114],"NP":[115],"-hard),":[116],"but":[117],"also":[119],"examples":[121],"polynomial-time":[125,144],"procedures.":[128],"For":[129],"some":[130],"computationally":[133],"hard":[134],"provide":[137],"either":[138],"exact":[139],"FPT":[140],"algorithms":[141],"or":[142],"approximate":[143],"algorithms.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4}],"updated_date":"2026-07-27T08:26:11.824852","created_date":"2025-10-10T00:00:00"}
