{"id":"https://openalex.org/W2069544111","doi":"https://doi.org/10.1145/1500412.1500505","title":"Computerized weighted voting reapportionment","display_name":"Computerized weighted voting reapportionment","publication_year":1981,"publication_date":"1981-01-01","ids":{"openalex":"https://openalex.org/W2069544111","doi":"https://doi.org/10.1145/1500412.1500505","mag":"2069544111"},"language":"en","primary_location":{"id":"doi:10.1145/1500412.1500505","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1500412.1500505","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1500412.1500505","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the May 4-7, 1981, national computer conference on - AFIPS '81","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/1500412.1500505","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027285842","display_name":"Lee Papayanopoulos","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. Papayanopoulos","raw_affiliation_strings":["Rutgers University, Newark, New Jersey","Rutgers University-Newark, New Jersey"],"affiliations":[{"raw_affiliation_string":"Rutgers University, Newark, New Jersey","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers University-Newark, New Jersey","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027285842"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":1.5826,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.85940615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"623","last_page":"623"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":1.0,"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":1.0,"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":0.9824000000953674,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9821000099182129,"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/voting","display_name":"Voting","score":0.8969147801399231},{"id":"https://openalex.org/keywords/weighted-voting","display_name":"Weighted voting","score":0.6637210845947266},{"id":"https://openalex.org/keywords/anti-plurality-voting","display_name":"Anti-plurality voting","score":0.6499330401420593},{"id":"https://openalex.org/keywords/cardinal-voting-systems","display_name":"Cardinal voting systems","score":0.5786651372909546},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48354554176330566},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4380636513233185},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4337315261363983},{"id":"https://openalex.org/keywords/legislature","display_name":"Legislature","score":0.43335095047950745},{"id":"https://openalex.org/keywords/power-index","display_name":"Power index","score":0.4104493260383606},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23988330364227295},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.2012072205543518},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.18360435962677002},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0568598210811615},{"id":"https://openalex.org/keywords/politics","display_name":"Politics","score":0.05426055192947388}],"concepts":[{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.8969147801399231},{"id":"https://openalex.org/C132778050","wikidata":"https://www.wikidata.org/wiki/Q2065430","display_name":"Weighted voting","level":4,"score":0.6637210845947266},{"id":"https://openalex.org/C70095417","wikidata":"https://www.wikidata.org/wiki/Q4774437","display_name":"Anti-plurality voting","level":5,"score":0.6499330401420593},{"id":"https://openalex.org/C167654663","wikidata":"https://www.wikidata.org/wiki/Q5038645","display_name":"Cardinal voting systems","level":4,"score":0.5786651372909546},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48354554176330566},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4380636513233185},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4337315261363983},{"id":"https://openalex.org/C83009810","wikidata":"https://www.wikidata.org/wiki/Q11204","display_name":"Legislature","level":2,"score":0.43335095047950745},{"id":"https://openalex.org/C3018596841","wikidata":"https://www.wikidata.org/wiki/Q7236523","display_name":"Power index","level":2,"score":0.4104493260383606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23988330364227295},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.2012072205543518},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.18360435962677002},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0568598210811615},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.05426055192947388},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1500412.1500505","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1500412.1500505","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1500412.1500505","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the May 4-7, 1981, national computer conference on - AFIPS '81","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/1500412.1500505","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1500412.1500505","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1500412.1500505","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the May 4-7, 1981, national computer conference on - AFIPS '81","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.6600000262260437,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2069544111.pdf","grobid_xml":"https://content.openalex.org/works/W2069544111.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W346900123","https://openalex.org/W1550592171","https://openalex.org/W1973380805","https://openalex.org/W2002616065","https://openalex.org/W2017403163","https://openalex.org/W2338328219","https://openalex.org/W7061019804"],"related_works":["https://openalex.org/W3123414640","https://openalex.org/W2074923798","https://openalex.org/W2008876309","https://openalex.org/W1502643739","https://openalex.org/W3123839196","https://openalex.org/W1981022005","https://openalex.org/W1982707951","https://openalex.org/W2010932316","https://openalex.org/W162821986","https://openalex.org/W1578486520"],"abstract_inverted_index":{"A":[0],"general":[1,62],"model":[2],"of":[3,13,15,32,35],"a":[4,30],"weighted":[5,40],"voting":[6,11,26,36,41,48],"legislature":[7],"is":[8,19,29,43,59,65],"described.":[9],"The":[10,25,56],"power":[12,27],"each":[14],"the":[16,22,33,47,53],"N":[17],"members":[18],"measured":[20],"using":[21],"Banzhaf":[23],"index.":[24],"vector":[28,34],"function":[31],"weights.":[37],"An":[38],"optimal":[39],"plan":[42],"one":[44],"in":[45,61],"which":[46],"powers":[49],"are":[50],"proportional":[51],"to":[52],"respective":[54],"constituencies.":[55],"optimization":[57],"procedure":[58],"described":[60],"terms":[63],"and":[64],"demonstrated":[66],"through":[67],"real":[68],"examples.":[69]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
