{"id":"https://openalex.org/W4297798568","doi":"https://doi.org/10.48550/arxiv.1611.09928","title":"Proportional Justified Representation","display_name":"Proportional Justified Representation","publication_year":2016,"publication_date":"2016-11-29","ids":{"openalex":"https://openalex.org/W4297798568","doi":"https://doi.org/10.48550/arxiv.1611.09928","mag":"2963819988"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1611.09928","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.09928","pdf_url":"https://arxiv.org/pdf/1611.09928","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1611.09928","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025578692","display_name":"Luis S\u00e1nchez Fern\u00e1ndez","orcid":"https://orcid.org/0000-0002-9801-4747","observed_orcids":["https://orcid.org/0000-0002-9801-4747"]},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"S\u00e1nchez-Fern\u00e1ndez, Luis","raw_affiliation_strings":["Universidad Carlos III de Madrid , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Carlos III de Madrid , Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050150656","display_name":"Edith Elkind","orcid":"https://orcid.org/0000-0001-6718-3436","observed_orcids":["https://orcid.org/0000-0001-6718-3436"]},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Elkind, Edith","raw_affiliation_strings":["Northwestern University , United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern University , United States","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089651010","display_name":"Martin Lackner","orcid":"https://orcid.org/0000-0003-2170-0770","observed_orcids":["https://orcid.org/0000-0003-2170-0770"]},"institutions":[{"id":"https://openalex.org/I25485817","display_name":"University of Applied Sciences St P\u00f6lten","ror":"https://ror.org/039a2re55","country_code":"AT","type":"education","lineage":["https://openalex.org/I25485817"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Lackner, Martin","raw_affiliation_strings":["University of Applied Sciences St. P\u00f6lten , Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Applied Sciences St. P\u00f6lten , Austria","institution_ids":["https://openalex.org/I25485817"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027271427","display_name":"Norberto Fern\u00e1ndez","orcid":"https://orcid.org/0000-0002-6710-9081","observed_orcids":["https://orcid.org/0000-0002-6710-9081"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fern\u00e1ndez, Norberto","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088349143","display_name":"Jes\u00fas Arias Fisteus","orcid":"https://orcid.org/0000-0002-4381-2071","observed_orcids":["https://orcid.org/0000-0002-4381-2071"]},"institutions":[{"id":"https://openalex.org/I25485817","display_name":"University of Applied Sciences St P\u00f6lten","ror":"https://ror.org/039a2re55","country_code":"AT","type":"education","lineage":["https://openalex.org/I25485817"]},{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["AT","ES"],"is_corresponding":false,"raw_author_name":"Fisteus, Jes\u00fas A.","raw_affiliation_strings":["Universidad Carlos III de Madrid , Spain","University of Applied Sciences St. P\u00f6lten , Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Carlos III de Madrid , Spain","institution_ids":["https://openalex.org/I50357001"]},{"raw_affiliation_string":"University of Applied Sciences St. P\u00f6lten , Austria","institution_ids":["https://openalex.org/I25485817"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022431034","display_name":"Pablo Basanta Val","orcid":"https://orcid.org/0000-0002-0522-9010","observed_orcids":["https://orcid.org/0000-0002-0522-9010"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Val, Pablo Basanta","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5060094648","display_name":"Piotr Skowron","orcid":"https://orcid.org/0000-0002-4453-3955","observed_orcids":["https://orcid.org/0000-0002-4453-3955"]},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"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":["GB","PL"],"is_corresponding":false,"raw_author_name":"Skowron, Piotr","raw_affiliation_strings":["University of Oxford , United Kingdom","University of Warsaw , Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford , United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"University of Warsaw , Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"1","first_page":"670","last_page":"676"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"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/T10108","display_name":"Electoral Systems and Political Participation","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3320","display_name":"Political Science and International Relations"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11598","display_name":"Internet Traffic Analysis and Secure E-voting","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/multi-winner-elections","display_name":"multi-winner elections","score":0.8939999938011169},{"id":"https://openalex.org/keywords/voter-satisfaction","display_name":"voter satisfaction","score":0.7179999947547913},{"id":"https://openalex.org/keywords/committee-selection","display_name":"committee selection","score":0.4860000014305115},{"id":"https://openalex.org/keywords/axiomatic-social-choice","display_name":"axiomatic social choice","score":0.5929999947547913}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.765507698059082},{"id":"https://openalex.org/C119588120","wikidata":"https://www.wikidata.org/wiki/Q13365595","display_name":"Proportional representation","level":4,"score":0.7452521324157715},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.6575087904930115},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6533770561218262},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5321606397628784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48631414771080017},{"id":"https://openalex.org/C100479058","wikidata":"https://www.wikidata.org/wiki/Q526530","display_name":"Approval voting","level":5,"score":0.4819597899913788},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46128007769584656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39796674251556396},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3209347724914551},{"id":"https://openalex.org/C167654663","wikidata":"https://www.wikidata.org/wiki/Q5038645","display_name":"Cardinal voting systems","level":4,"score":0.2748468220233917},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1865835189819336},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.16405415534973145},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.13491955399513245},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C555826173","wikidata":"https://www.wikidata.org/wiki/Q7174","display_name":"Democracy","level":3,"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":"pmh:oai:arXiv.org:1611.09928","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.09928","pdf_url":"https://arxiv.org/pdf/1611.09928","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.1611.09928","doi":"https://doi.org/10.48550/arxiv.1611.09928","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1611.09928","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:2963819988","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1611.09928","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1611.09928","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.09928","pdf_url":"https://arxiv.org/pdf/1611.09928","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1936523210","display_name":null,"funder_award_id":"S2013","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G2689037414","display_name":"Algorithms for Sustainable Group Decision Making","funder_award_id":"P31890","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G3216000229","display_name":null,"funder_award_id":"S2013","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G4412968160","display_name":null,"funder_award_id":"EPUC3M21","funder_id":"https://openalex.org/F4320323770","funder_display_name":"Universidad Carlos III de Madrid"},{"id":"https://openalex.org/G4969513071","display_name":null,"funder_award_id":"TIN2013-46801-C4-2-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G5464726046","display_name":null,"funder_award_id":"TIN2013-46801-C4","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G569913648","display_name":null,"funder_award_id":"TIN2016-77158-C4-1-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G5891004745","display_name":null,"funder_award_id":"EPUC3M21","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G5928558453","display_name":null,"funder_award_id":"S2013/ICE-2715","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"},{"id":"https://openalex.org/G594680512","display_name":"Fair online group decision making","funder_award_id":"PAT7221724","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8089245371","display_name":null,"funder_award_id":"TIN2016-77158-C4-1-R","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G8590477180","display_name":null,"funder_award_id":"10.55776","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8976194007","display_name":null,"funder_award_id":"HERMES-SMARTDRIVER TIN2013-46801-C4-2-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320313831","display_name":"Comunidad de Madrid","ror":null},{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323770","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4297798568.pdf","grobid_xml":"https://content.openalex.org/works/W4297798568.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W2558685653","https://openalex.org/W2613900300","https://openalex.org/W2889720540","https://openalex.org/W2962758382","https://openalex.org/W4323066290","https://openalex.org/W4366732706"],"related_works":["https://openalex.org/W7124313875","https://openalex.org/W7160488745","https://openalex.org/W4283816742","https://openalex.org/W4300954570","https://openalex.org/W4383533293","https://openalex.org/W7207739296","https://openalex.org/W7201846925","https://openalex.org/W2788250535","https://openalex.org/W7118908077","https://openalex.org/W2983795017"],"abstract_inverted_index":{"The":[0],"goal":[1],"of":[2,25,82,112,142],"multi-winner":[3],"elections":[4],"is":[5,21,68,92,101],"to":[6,50,130,159],"choose":[7],"a":[8,80,109],"fixed-size":[9],"committee":[10],"based":[11],"on":[12],"voters'":[13],"preferences.":[14],"An":[15],"important":[16],"concern":[17],"in":[18,139],"this":[19,52,113],"setting":[20],"representation:":[22],"large":[23],"groups":[24],"voters":[26],"with":[27,70,103,108,157],"cohesive":[28],"preferences":[29],"should":[30],"be":[31,128],"adequately":[32],"represented":[33],"by":[34],"the":[35,71,132,140,147],"election":[36],"winners.":[37],"In":[38],"an":[39],"influential":[40],"paper,":[41],"Aziz":[42],"et":[43],"al.":[44],"proposed":[45],"two":[46],"axioms":[47],"that":[48,66,152],"aim":[49],"capture":[51],"idea:":[53],"justified":[54,61],"representation":[55,62],"(JR)":[56],"and":[57,78],"its":[58],"strengthening":[59],"extended":[60],"(EJR).":[63],"We":[64],"observe":[65],"EJR":[67,153],"incompatible":[69],"highly":[72],"desirable":[73],"Perfect":[74,119],"Representation":[75,89,120],"(PR)":[76],"criterion,":[77],"propose":[79],"relaxation":[81],"EJR,":[83,99,125],"which":[84,115],"we":[85,116,150],"call":[86],"Proportional":[87,134],"Justified":[88],"(PJR).":[90],"PJR":[91,126,164],"more":[93],"demanding":[94],"than":[95,163],"JR,":[96],"but,":[97],"unlike":[98],"it":[100],"compatible":[102],"PR,":[104],"as":[105,107],"well":[106],"stronger":[110,155],"variant":[111],"axiom,":[114],"term":[117],"Fractional":[118],"(FPR).":[121],"Moreover,":[122],"just":[123],"like":[124],"can":[127],"used":[129],"characterise":[131],"classic":[133],"Approval":[135],"Voting":[136],"(PAV)":[137],"rule":[138],"class":[141],"weighted":[143],"PAV":[144],"rules.":[145],"On":[146],"other":[148],"hand,":[149],"show":[151],"provides":[154],"guarantees":[156],"respect":[158],"average":[160],"voter":[161],"satisfaction":[162],"does.":[165]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2022-10-01T00:00:00"}