{"id":"https://openalex.org/W3132416969","doi":"https://doi.org/10.1007/s10107-023-01926-8","title":"Phragm\u00e9n\u2019s voting methods and justified representation","display_name":"Phragm\u00e9n\u2019s voting methods and justified representation","publication_year":2023,"publication_date":"2023-03-06","ids":{"openalex":"https://openalex.org/W3132416969","doi":"https://doi.org/10.1007/s10107-023-01926-8","mag":"3132416969","pmid":"https://pubmed.ncbi.nlm.nih.gov/38344413"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-023-01926-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-023-01926-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-023-01926-8.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10107-023-01926-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031193164","display_name":"Markus Brill","orcid":"https://orcid.org/0000-0001-9509-7017"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE","GB"],"is_corresponding":true,"raw_author_name":"Markus Brill","raw_affiliation_strings":["TU Berlin, Berlin, Germany","University of Warwick, Coventry, UK"],"affiliations":[{"raw_affiliation_string":"TU Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010895600","display_name":"Rupert Freeman","orcid":"https://orcid.org/0000-0003-4744-9449"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rupert Freeman","raw_affiliation_strings":["University of Virginia, Charlottesville, VA USA","University of Virginia, Charlottesville, VA, USA"],"affiliations":[{"raw_affiliation_string":"University of Virginia, Charlottesville, VA USA","institution_ids":["https://openalex.org/I51556381"]},{"raw_affiliation_string":"University of Virginia, Charlottesville, VA, USA","institution_ids":["https://openalex.org/I51556381"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022615833","display_name":"Svante Janson","orcid":"https://orcid.org/0000-0002-9680-2790"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Svante Janson","raw_affiliation_strings":["Uppsala University, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089651010","display_name":"Martin Lackner","orcid":"https://orcid.org/0000-0003-2170-0770"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Martin Lackner","raw_affiliation_strings":["TU Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031193164"],"corresponding_institution_ids":["https://openalex.org/I39555362","https://openalex.org/I4577782"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2890},"fwci":4.4954,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.94734597,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"203","issue":"1-2","first_page":"47","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T11182","display_name":"Auction Theory and Applications","score":0.9868999719619751,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.98580002784729,"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/representation","display_name":"Representation (politics)","score":0.7232094407081604},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6810327768325806},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.6633291244506836},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.627895712852478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6043977737426758},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5378398895263672},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5208016633987427},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4724942743778229},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4686780571937561},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4569753110408783},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45146703720092773},{"id":"https://openalex.org/keywords/proportional-representation","display_name":"Proportional representation","score":0.43626880645751953},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39479508996009827},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3174351453781128}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.7232094407081604},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6810327768325806},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.6633291244506836},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.627895712852478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6043977737426758},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5378398895263672},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5208016633987427},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4724942743778229},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4686780571937561},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4569753110408783},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45146703720092773},{"id":"https://openalex.org/C119588120","wikidata":"https://www.wikidata.org/wiki/Q13365595","display_name":"Proportional representation","level":4,"score":0.43626880645751953},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39479508996009827},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3174351453781128},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C555826173","wikidata":"https://www.wikidata.org/wiki/Q7174","display_name":"Democracy","level":3,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10107-023-01926-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-023-01926-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-023-01926-8.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmid:38344413","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38344413","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical programming","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10858002","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10858002","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10858002/pdf/10107_2023_Article_1926.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Math Program","raw_type":"Text"},{"id":"pmh:oai:DiVA.org:uu-528366","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-528366","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"}],"best_oa_location":{"id":"doi:10.1007/s10107-023-01926-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-023-01926-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-023-01926-8.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1174531324","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"},{"id":"https://openalex.org/G1732414510","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G2447788411","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G3330119427","display_name":null,"funder_award_id":"EPSRC","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3514815129","display_name":null,"funder_award_id":"P31890","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G3677295779","display_name":null,"funder_award_id":"IIS-1527434","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3728093668","display_name":"Isaac Newton Institute for Mathematical Sciences","funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G425868324","display_name":null,"funder_award_id":"fellowship","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G429841627","display_name":null,"funder_award_id":"W911NF-12-1-0550","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4421442999","display_name":null,"funder_award_id":"EP/K032208","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4947591155","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4984718776","display_name":null,"funder_award_id":"P/K032208/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5106512922","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5128091834","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5578800588","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320313284","funder_display_name":"Isaac Newton Institute for Mathematical Sciences"},{"id":"https://openalex.org/G5947282477","display_name":null,"funder_award_id":"BR 4744/2-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6024419964","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6052429835","display_name":null,"funder_award_id":"(DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6174020226","display_name":null,"funder_award_id":"Feodor Lynen","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G6743243744","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6758252953","display_name":"RI: Small: New Directions in Computational Social Choice and Mechanism Design","funder_award_id":"1527434","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6913765328","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G7380378233","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7479324318","display_name":null,"funder_award_id":"ERC-StG 639945","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G8330397625","display_name":null,"funder_award_id":"Funding","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8452545418","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8683756101","display_name":null,"funder_award_id":"support","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"},{"id":"https://openalex.org/G8928656450","display_name":null,"funder_award_id":"Projekt DEAL","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8998121839","display_name":null,"funder_award_id":"911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320313284","display_name":"Isaac Newton Institute for Mathematical Sciences","ror":null},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3132416969.pdf"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W89322165","https://openalex.org/W632090454","https://openalex.org/W967083285","https://openalex.org/W1238745702","https://openalex.org/W1486787620","https://openalex.org/W1575960470","https://openalex.org/W1666585835","https://openalex.org/W1696166066","https://openalex.org/W1834040419","https://openalex.org/W1963547452","https://openalex.org/W1976913854","https://openalex.org/W1988571822","https://openalex.org/W1989662298","https://openalex.org/W2000568608","https://openalex.org/W2007208809","https://openalex.org/W2011039300","https://openalex.org/W2030087828","https://openalex.org/W2047846903","https://openalex.org/W2083368929","https://openalex.org/W2124837549","https://openalex.org/W2125363721","https://openalex.org/W2131891143","https://openalex.org/W2160707732","https://openalex.org/W2248455564","https://openalex.org/W2315464424","https://openalex.org/W2521628013","https://openalex.org/W2553318265","https://openalex.org/W2558040216","https://openalex.org/W2558685653","https://openalex.org/W2559235980","https://openalex.org/W2572612145","https://openalex.org/W2597810180","https://openalex.org/W2599525936","https://openalex.org/W2604312315","https://openalex.org/W2613900300","https://openalex.org/W2788250535","https://openalex.org/W2790782316","https://openalex.org/W2889720540","https://openalex.org/W2897938474","https://openalex.org/W2962758382","https://openalex.org/W2963819988","https://openalex.org/W2965195833","https://openalex.org/W2968976030","https://openalex.org/W2972175238","https://openalex.org/W2998041510","https://openalex.org/W3006866119","https://openalex.org/W3037117897","https://openalex.org/W3038772708","https://openalex.org/W3040736983","https://openalex.org/W3044185624","https://openalex.org/W3099446300","https://openalex.org/W3114282494","https://openalex.org/W3137712949","https://openalex.org/W3173258152","https://openalex.org/W3173756898","https://openalex.org/W3192205305","https://openalex.org/W3215552046","https://openalex.org/W4205974269","https://openalex.org/W4211076402","https://openalex.org/W4253419473","https://openalex.org/W4285603091","https://openalex.org/W4288037860","https://openalex.org/W4301808069","https://openalex.org/W4309635574","https://openalex.org/W4382239847"],"related_works":["https://openalex.org/W2079177478","https://openalex.org/W76639802","https://openalex.org/W2077314575","https://openalex.org/W3173581979","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2005710836","https://openalex.org/W2102386043","https://openalex.org/W1796291957"],"abstract_inverted_index":{"In":[0],"the":[1,34,40,67,87,96],"late":[2],"19th":[3],"century,":[4],"Swedish":[5],"mathematician":[6],"Edvard":[7],"Phragm\u00e9n":[8,49,100],"proposed":[9],"a":[10,44,76],"load-balancing":[11],"approach":[12],"for":[13,79,109],"selecting":[14],"committees":[15],"based":[16,107],"on":[17,59],"approval":[18],"ballots.":[19],"We":[20,47,64,93],"consider":[21],"three":[22],"committee":[23,80],"voting":[24],"rules":[25],"resulting":[26],"from":[27,52],"this":[28],"approach:":[29],"two":[30],"optimization":[31,88],"variants-one":[32],"minimizing":[33,39],"maximum":[35],"load":[36],"and":[37,103],"one":[38],"variance":[41],"of":[42,56,99],"loads-and":[43],"sequential":[45,68],"variant.":[46],"study":[48],"'s":[50,101],"methods":[51,102],"an":[53],"axiomatic":[54],"point":[55],"view,":[57],"focusing":[58],"properties":[60],"capturing":[61],"proportional":[62],"representation.":[63],"show":[65,85],"that":[66,86],"variant":[69],"satisfies":[70],"<i>proportional":[71],"justified":[72],"representation</i>,":[73],"which":[74],"is":[75],"rare":[77],"property":[78],"monotonic":[81],"methods.":[82],"Moreover,":[83],"we":[84],"variants":[89],"satisfy":[90],"<i>perfect":[91],"representation</i>.":[92],"also":[94],"analyze":[95],"computational":[97],"complexity":[98],"provide":[104],"mixed-integer":[105],"programming":[106],"algorithms":[108],"computing":[110],"them.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
