{"id":"https://openalex.org/W2244501367","doi":"https://doi.org/10.1007/978-3-319-57418-9_13","title":"Aggregation of Votes with Multiple Positions on Each Issue","display_name":"Aggregation of Votes with Multiple Positions on Each Issue","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2244501367","doi":"https://doi.org/10.1007/978-3-319-57418-9_13","mag":"2244501367"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-57418-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-57418-9_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1505.07737","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024610751","display_name":"Lefteris M. Kirousis","orcid":"https://orcid.org/0000-0002-4912-8959"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Lefteris Kirousis","raw_affiliation_strings":["National and Kapodistrian University of Athens, Athens, Greece","National and Kapodistrian, University of Athens, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"National and Kapodistrian University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"National and Kapodistrian, University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041825861","display_name":"Phokion G. Kolaitis","orcid":"https://orcid.org/0000-0002-8407-8563"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Phokion G. Kolaitis","raw_affiliation_strings":["University of California, Santa Cruz, CA, USA","University of California\u2010Santa Cruz CA USA"],"affiliations":[{"raw_affiliation_string":"University of California, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]},{"raw_affiliation_string":"University of California\u2010Santa Cruz CA USA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086020243","display_name":"John Livieratos","orcid":"https://orcid.org/0000-0001-6409-4286"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"John Livieratos","raw_affiliation_strings":["National and Kapodistrian University of Athens, Athens, Greece","National and Kapodistrian, University of Athens, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"National and Kapodistrian University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"National and Kapodistrian, University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024610751"],"corresponding_institution_ids":["https://openalex.org/I200777214"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00260737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"7","issue":"1","first_page":"1","last_page":"225"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9923999905586243,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9896000027656555,"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/news-aggregator","display_name":"News aggregator","score":0.8605206608772278},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6126077771186829},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.5838126540184021},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5240705013275146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4770768880844116},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.46141231060028076},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.44327419996261597},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4087381064891815},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3573673367500305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2809542119503021},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.19781678915023804},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18039637804031372},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15972131490707397},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0817331075668335},{"id":"https://openalex.org/keywords/politics","display_name":"Politics","score":0.05649453401565552}],"concepts":[{"id":"https://openalex.org/C180505990","wikidata":"https://www.wikidata.org/wiki/Q498267","display_name":"News aggregator","level":2,"score":0.8605206608772278},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6126077771186829},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.5838126540184021},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5240705013275146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4770768880844116},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.46141231060028076},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.44327419996261597},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4087381064891815},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3573673367500305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2809542119503021},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.19781678915023804},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18039637804031372},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15972131490707397},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0817331075668335},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.05649453401565552},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-319-57418-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-57418-9_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"doi:10.1145/3296675","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3296675","pdf_url":null,"source":{"id":"https://openalex.org/S4210173995","display_name":"ACM Transactions on Economics and Computation","issn_l":"2167-8375","issn":["2167-8375","2167-8383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Economics and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1505.07737","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.07737","pdf_url":"https://arxiv.org/pdf/1505.07737","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"mag:2244501367","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1505.07737","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1505.07737","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1505.07737","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1505.07737","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.07737","pdf_url":"https://arxiv.org/pdf/1505.07737","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7099999785423279}],"awards":[{"id":"https://openalex.org/G5374134968","display_name":null,"funder_award_id":"European Social Fund","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320309018","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338080","display_name":"European Social Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2244501367.pdf","grobid_xml":"https://content.openalex.org/works/W2244501367.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W618296025","https://openalex.org/W1490088998","https://openalex.org/W1493674456","https://openalex.org/W1511747486","https://openalex.org/W1573490025","https://openalex.org/W1589711670","https://openalex.org/W1602309302","https://openalex.org/W1967081648","https://openalex.org/W1997649256","https://openalex.org/W2004924271","https://openalex.org/W2017495431","https://openalex.org/W2032487621","https://openalex.org/W2036910311","https://openalex.org/W2060612256","https://openalex.org/W2061546065","https://openalex.org/W2064732596","https://openalex.org/W2095567645","https://openalex.org/W2131008267","https://openalex.org/W2142550658","https://openalex.org/W2151118702","https://openalex.org/W2152001004","https://openalex.org/W2158885396","https://openalex.org/W2162359459","https://openalex.org/W2165733306","https://openalex.org/W2166566648","https://openalex.org/W2170386081","https://openalex.org/W2172276559","https://openalex.org/W2919771357"],"related_works":["https://openalex.org/W2551108541","https://openalex.org/W2062799424","https://openalex.org/W2273641147","https://openalex.org/W2480158572","https://openalex.org/W417240352","https://openalex.org/W2039983178","https://openalex.org/W2396654189","https://openalex.org/W208631273","https://openalex.org/W1536719864","https://openalex.org/W2462597108","https://openalex.org/W1480579907","https://openalex.org/W2462957551","https://openalex.org/W2322878003","https://openalex.org/W1513363537","https://openalex.org/W2146797334","https://openalex.org/W2901432177","https://openalex.org/W2990994834","https://openalex.org/W2949457880","https://openalex.org/W2014131097","https://openalex.org/W2996278346"],"abstract_inverted_index":{"We":[0,51,84,125,192,230],"consider":[1],"the":[2,21,34,39,53,86,101,120,171,175,219,268,293],"problem":[3,298],"of":[4,15,20,27,36,47,62,104,112,119,134,139,174,182,197,218,235,237,253,271,280,289],"aggregating":[5],"votes":[6,37,121,135,220],"cast":[7],"by":[8,57,250,274],"a":[9,12,45,110,130,137,152,185,189,195,198,233,243,278,285,306],"society":[10,22,138],"on":[11,30,38,91,208,299],"fixed":[13],"set":[14,46,279,301],"issues,":[16],"where":[17],"each":[18,31,92,169,303],"member":[19],"may":[23],"vote":[24],"for":[25,98,155,163,168,221,257],"one":[26,118],"several":[28],"positions":[29],"issue,":[32,93,100,170,210,223],"but":[33],"combination":[35],"various":[40],"issues":[41],"is":[42,143,151,160,184,203,309,316],"restricted":[43,178,213],"to":[44,88,109,179,214],"feasible":[48,238,281],"voting":[49,239,282],"patterns.":[50],"follow":[52],"aggregation":[54,77,80,87,133],"framework":[55],"used":[56],"Dokow":[58],"and":[59,78,94,146,211,249],"Holzman":[60],"[Aggregation":[61],"non-binary":[63],"evaluations,":[64],"Advances":[65],"in":[66,73,122,128,136,311],"Applied":[67],"Mathematics":[68],",":[69],"45:4,":[70],"487--504,":[71],"2010],":[72],"which":[74,202],"both":[75],"preference":[76],"judgment":[79],"can":[81],"be":[82,89],"cast.":[83],"require":[85],"independent":[90],"also":[95],"supportive,":[96],"i.e.,":[97],"every":[99,105,209],"corresponding":[102,172],"component":[103,173],"aggregator,":[106,176,201],"when":[107,177,212],"applied":[108],"tuple":[111],"votes,":[113,183],"must":[114],"take":[115],"as":[116],"value":[117],"that":[123,207,222,241,276,300],"tuple.":[124],"prove":[126],"that,":[127,167],"such":[129,166,206],"setup,":[131],"non-dictatorial":[132,153,200,245,287],"an":[140,161,204],"arbitrary":[141,215],"size":[142],"possible":[144],"if":[145,148,277],"only":[147],"either":[149],"there":[150,159],"aggregator":[154,162,205,288],"two":[156],"voters":[157,165],"or":[158,188],"three":[164],"two-element":[180,216],"sets":[181,236],"majority":[186],"operation":[187],"minority":[190],"operation.":[191],"then":[193,292],"introduce":[194],"notion":[196],"uniform":[199,244,286],"subsets":[217],"it":[224,315],"differs":[225],"from":[226],"all":[227],"projection":[228],"functions.":[229],"first":[231],"give":[232],"characterization":[234],"patterns":[240,283],"admit":[242],"aggregator.":[246],"After":[247],"this":[248],"making":[251],"use":[252],"Bulatov\u2019s":[254],"dichotomy":[255],"theorem":[256],"conservative":[258,295],"constraint":[259,272,296],"satisfaction":[260,273,297],"problems,":[261],"we":[262],"connect":[263],"social":[264],"choice":[265],"theory":[266],"with":[267],"computational":[269],"complexity":[270],"proving":[275],"has":[284],"some":[290],"arity,":[291],"multi-sorted":[294],"(with":[302],"issue":[304],"representing":[305],"different":[307],"sort)":[308],"solvable":[310],"polynomial":[312],"time;":[313],"otherwise,":[314],"NP-complete.":[317]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}