{"id":"https://openalex.org/W1991697505","doi":"https://doi.org/10.1007/s10479-013-1374-8","title":"Banzhaf index for multiple voting systems. An application to the European Union","display_name":"Banzhaf index for multiple voting systems. An application to the European Union","publication_year":2013,"publication_date":"2013-04-09","ids":{"openalex":"https://openalex.org/W1991697505","doi":"https://doi.org/10.1007/s10479-013-1374-8","mag":"1991697505"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-013-1374-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-013-1374-8","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060045937","display_name":"Luisa Monroy Berjillos","orcid":"https://orcid.org/0000-0002-2449-6966"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Luisa Monroy","raw_affiliation_strings":["Departamento de Econom\u00eda Aplicada III, Universidad de Sevilla, Avda. Ram\u00f3n y Cajal n\u00b0 1, 41018, Sevilla, Spain","Universidad de Sevilla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Econom\u00eda Aplicada III, Universidad de Sevilla, Avda. Ram\u00f3n y Cajal n\u00b0 1, 41018, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Universidad de Sevilla","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086774049","display_name":"F.R. Fern\u00e1ndez","orcid":null},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco R. Fern\u00e1ndez","raw_affiliation_strings":["Departamento de Estad\u00edstica e Investigaci\u00f3n Operativa, Facultad de Matem\u00e1ticas, Universidad de Sevilla, Tarfia, s/n, 41012, Sevilla, Spain","Universidad de Sevilla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica e Investigaci\u00f3n Operativa, Facultad de Matem\u00e1ticas, Universidad de Sevilla, Tarfia, s/n, 41012, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Universidad de Sevilla","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060045937"],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.0395,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.93064371,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"215","issue":"1","first_page":"215","last_page":"230"},"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":0.9894999861717224,"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/T11031","display_name":"Game Theory and Applications","score":0.9843999743461609,"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/generalization","display_name":"Generalization","score":0.7002277970314026},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6926419734954834},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6671268939971924},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.6533321142196655},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.6102495789527893},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5896690487861633},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.572501540184021},{"id":"https://openalex.org/keywords/power-index","display_name":"Power index","score":0.5706652402877808},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5101569294929504},{"id":"https://openalex.org/keywords/majority-rule","display_name":"Majority rule","score":0.4954432249069214},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4494204819202423},{"id":"https://openalex.org/keywords/weighted-voting","display_name":"Weighted voting","score":0.4141434133052826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3573097586631775},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32573625445365906},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14579007029533386},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10656830668449402}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7002277970314026},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6926419734954834},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6671268939971924},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.6533321142196655},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.6102495789527893},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5896690487861633},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.572501540184021},{"id":"https://openalex.org/C3018596841","wikidata":"https://www.wikidata.org/wiki/Q7236523","display_name":"Power index","level":2,"score":0.5706652402877808},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5101569294929504},{"id":"https://openalex.org/C153668964","wikidata":"https://www.wikidata.org/wiki/Q27636","display_name":"Majority rule","level":2,"score":0.4954432249069214},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4494204819202423},{"id":"https://openalex.org/C132778050","wikidata":"https://www.wikidata.org/wiki/Q2065430","display_name":"Weighted voting","level":4,"score":0.4141434133052826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3573097586631775},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32573625445365906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14579007029533386},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10656830668449402},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-013-1374-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-013-1374-8","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:215:y:2014:i:1:p:215-230:10.1007/s10479-013-1374-8","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10479-013-1374-8","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W24558588","https://openalex.org/W575700460","https://openalex.org/W1039477322","https://openalex.org/W1497411480","https://openalex.org/W1555643225","https://openalex.org/W1586124026","https://openalex.org/W1964871357","https://openalex.org/W1974327200","https://openalex.org/W1977911709","https://openalex.org/W1979465106","https://openalex.org/W1991118292","https://openalex.org/W1997187888","https://openalex.org/W1997399914","https://openalex.org/W2002616065","https://openalex.org/W2010932316","https://openalex.org/W2025974367","https://openalex.org/W2041121948","https://openalex.org/W2045122596","https://openalex.org/W2072101383","https://openalex.org/W2135459223","https://openalex.org/W3142094209","https://openalex.org/W4213138713","https://openalex.org/W6635120766"],"related_works":["https://openalex.org/W4360991861","https://openalex.org/W2057695175","https://openalex.org/W3125751332","https://openalex.org/W1607974337","https://openalex.org/W2028171644","https://openalex.org/W1980280752","https://openalex.org/W1480005667","https://openalex.org/W2779626397","https://openalex.org/W2393661640","https://openalex.org/W2373024013"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}