{"id":"https://openalex.org/W4285603091","doi":"https://doi.org/10.24963/ijcai.2022/47","title":"Phragm\u00e9n Rules for Degressive and Regressive Proportionality","display_name":"Phragm\u00e9n Rules for Degressive and Regressive Proportionality","publication_year":2022,"publication_date":"2022-07-01","ids":{"openalex":"https://openalex.org/W4285603091","doi":"https://doi.org/10.24963/ijcai.2022/47"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2022/47","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2022/47","pdf_url":"https://www.ijcai.org/proceedings/2022/0047.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.ijcai.org/proceedings/2022/0047.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110925800","display_name":"Micha\u0142 Jaworski","orcid":null},"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":false,"raw_author_name":"Micha\u0142 Jaworski","raw_affiliation_strings":["University of Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060094648","display_name":"Piotr Skowron","orcid":"https://orcid.org/0000-0002-4453-3955"},"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":false,"raw_author_name":"Piotr Skowron","raw_affiliation_strings":["University of Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":3.4863,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.92130561,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"328","last_page":"334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9918000102043152,"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/T11182","display_name":"Auction Theory and Applications","score":0.9516000151634216,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/proportionality","display_name":"Proportionality (law)","score":0.9672857522964478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36062559485435486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.358229398727417},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.3190919756889343},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.20969653129577637}],"concepts":[{"id":"https://openalex.org/C183763965","wikidata":"https://www.wikidata.org/wiki/Q603959","display_name":"Proportionality (law)","level":2,"score":0.9672857522964478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36062559485435486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.358229398727417},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.3190919756889343},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.20969653129577637}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.24963/ijcai.2022/47","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2022/47","pdf_url":"https://www.ijcai.org/proceedings/2022/0047.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.24963/ijcai.2022/47","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2022/47","pdf_url":"https://www.ijcai.org/proceedings/2022/0047.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.6000000238418579,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4285603091.pdf","grobid_xml":"https://content.openalex.org/works/W4285603091.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W312100443","https://openalex.org/W606588465","https://openalex.org/W967083285","https://openalex.org/W1560036661","https://openalex.org/W1666585835","https://openalex.org/W1982670460","https://openalex.org/W2034305032","https://openalex.org/W2043031359","https://openalex.org/W2406237023","https://openalex.org/W2558040216","https://openalex.org/W2559235980","https://openalex.org/W2607903188","https://openalex.org/W2807883149","https://openalex.org/W2808101515","https://openalex.org/W3035246401","https://openalex.org/W3038772708","https://openalex.org/W3040736983","https://openalex.org/W3179412268","https://openalex.org/W4214891595","https://openalex.org/W4254719982","https://openalex.org/W4285603091","https://openalex.org/W4288621566"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W3212262305","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W4238814147"],"abstract_inverted_index":{"We":[0,43,64],"study":[1],"two":[2,69],"concepts":[3],"of":[4,9,18,39,48,71],"proportionality":[5,15,72],"in":[6,22,84],"the":[7,25,32,57,68,74,77],"model":[8],"approval-based":[10],"committee":[11],"elections.":[12],"In":[13],"degressive":[14,60],"small":[16],"minorities":[17],"voters":[19,40,75],"are":[20,41],"favored":[21],"comparison":[23],"with":[24],"standard":[26],"linear":[27],"proportionality.":[28,63],"Regressive":[29],"proportionality,":[30],"on":[31],"other":[33],"hand,":[34],"requires":[35],"that":[36,50],"larger":[37],"subdivisions":[38],"privileged.":[42],"introduce":[44],"a":[45],"new":[46],"family":[47],"rules":[49],"broadly":[51],"generalize":[52],"Phragm\u00e9n's":[53],"Sequential":[54],"Rule":[55],"spanning":[56],"spectrum":[58],"between":[59],"and":[61,66,76],"regressive":[62],"analyze":[65],"compare":[67],"principles":[70],"assuming":[73],"candidates":[78],"can":[79],"be":[80],"represented":[81],"as":[82],"points":[83],"an":[85],"Euclidean":[86],"issue":[87],"space.":[88]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}