{"id":"https://openalex.org/W4394861380","doi":"https://doi.org/10.1145/3670865.3673521","title":"The Squared Kemeny Rule for Averaging Rankings","display_name":"The Squared Kemeny Rule for Averaging Rankings","publication_year":2024,"publication_date":"2024-07-08","ids":{"openalex":"https://openalex.org/W4394861380","doi":"https://doi.org/10.1145/3670865.3673521"},"language":"en","primary_location":{"id":"doi:10.1145/3670865.3673521","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3670865.3673521","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 25th ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2404.08474","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023574516","display_name":"Patrick Lederer","orcid":"https://orcid.org/0000-0001-9787-8941"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Patrick Lederer","raw_affiliation_strings":["TU Munich, Munich, Germany","TUM - Technical University of Munich (Arcisstra\u00dfe 21\r\n80333 M\u00fcnchen - Germany)","School of Computer Science and Engineering (Australia)"],"raw_orcid":"https://orcid.org/0000-0001-9787-8941","affiliations":[{"raw_affiliation_string":"TU Munich, Munich, Germany","institution_ids":[]},{"raw_affiliation_string":"TUM - Technical University of Munich (Arcisstra\u00dfe 21\r\n80333 M\u00fcnchen - Germany)","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"School of Computer Science and Engineering (Australia)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015162351","display_name":"Dominik Peters","orcid":"https://orcid.org/0000-0001-9418-7571"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210137929","display_name":"Lamsade","ror":"https://ror.org/03pnp1a74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I4210137929","https://openalex.org/I4210159245","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dominik Peters","raw_affiliation_strings":["CNRS, LAMSADE, Universit\u00e9 Paris Dauphine-PSL, Paris, France","LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)"],"raw_orcid":"https://orcid.org/0000-0001-9418-7571","affiliations":[{"raw_affiliation_string":"CNRS, LAMSADE, Universit\u00e9 Paris Dauphine-PSL, Paris, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)","institution_ids":["https://openalex.org/I4210137929"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020897161","display_name":"Tomasz W\u0105s","orcid":"https://orcid.org/0000-0003-3492-6584"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I4210137929","display_name":"Lamsade","ror":"https://ror.org/03pnp1a74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I4210137929","https://openalex.org/I4210159245","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I4210146410","display_name":"Science Oxford","ror":"https://ror.org/04j8yhy50","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210146410"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR","GB"],"is_corresponding":false,"raw_author_name":"Tomasz W\u0105s","raw_affiliation_strings":["CNRS, LAMSADE, Universit\u00e9 Paris Dauphine-PSL, Paris, France","LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)","Department of Computer Science [Oxford] (University of Oxford Wolfson Building Parks Road OXFORD OX1 3QD UK - United Kingdom)"],"raw_orcid":"https://orcid.org/0000-0003-3492-6584","affiliations":[{"raw_affiliation_string":"CNRS, LAMSADE, Universit\u00e9 Paris Dauphine-PSL, Paris, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAMSADE - Laboratoire d'analyse et mod\u00e9lisation de syst\u00e8mes pour l'aide \u00e0 la d\u00e9cision (Place de Lattre de Tassigny 75775 PARIS CEDEX 16 - France)","institution_ids":["https://openalex.org/I4210137929"]},{"raw_affiliation_string":"Department of Computer Science [Oxford] (University of Oxford Wolfson Building Parks Road OXFORD OX1 3QD UK - United Kingdom)","institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210146410"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023574516"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.4659,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63487065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"755","last_page":"755"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9858999848365784,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9858999848365784,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9573000073432922,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9437000155448914,"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/scoring-rule","display_name":"Scoring rule","score":0.6851414442062378},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6757374405860901},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6540952920913696},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6050679683685303},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.500068187713623},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.39020758867263794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3160092830657959},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3093571662902832},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3086158037185669},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20573297142982483}],"concepts":[{"id":"https://openalex.org/C63002673","wikidata":"https://www.wikidata.org/wiki/Q2260590","display_name":"Scoring rule","level":2,"score":0.6851414442062378},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6757374405860901},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6540952920913696},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6050679683685303},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.500068187713623},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.39020758867263794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3160092830657959},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3093571662902832},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3086158037185669},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20573297142982483},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/3670865.3673521","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3670865.3673521","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 25th ACM Conference on Economics and Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2404.08474","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.08474","pdf_url":"https://arxiv.org/pdf/2404.08474","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":"pmh:oai:HAL:hal-04728011v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04728011v1/file/sqKemeny.pdf","pdf_url":"https://hal.science/hal-04728011/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"Twenty-Fifth ACM Conference on Economics and Computation (EC'24), ACM, Jul 2024, New Haven, CT, United States","raw_type":"Conference papers"},{"id":"pmh:oai:RePEc:arx:papers:2404.08474","is_oa":false,"landing_page_url":null,"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":"preprint"},{"id":"doi:10.48550/arxiv.2404.08474","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2404.08474","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:2404.08474","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.08474","pdf_url":"https://arxiv.org/pdf/2404.08474","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":[],"awards":[{"id":"https://openalex.org/G5838787665","display_name":null,"funder_award_id":"ANR-19-P3IA-0001","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G626190807","display_name":null,"funder_award_id":"19-P3IA-0001","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8318455765","display_name":null,"funder_award_id":"ANR-19","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4394861380.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2041647433","https://openalex.org/W3111457560","https://openalex.org/W2753083100","https://openalex.org/W3198799031","https://openalex.org/W3125834568","https://openalex.org/W3160516639","https://openalex.org/W1974024402","https://openalex.org/W2090831035","https://openalex.org/W1584952351","https://openalex.org/W2081948323"],"abstract_inverted_index":{"For":[0],"the":[1,15,20,23,29,33,38,43,74,78,81,84,87],"problem":[2],"of":[3,73,83],"aggregating":[4],"several":[5],"rankings":[6,76],"into":[7],"one":[8],"ranking,":[9],"Kemeny":[10],"[1959]":[11],"proposed":[12],"two":[13],"methods:":[14],"median":[16,47],"rule":[17,35,48,85],"which":[18,36],"selects":[19],"ranking":[21],"with":[22],"smallest":[24],"total":[25],"swap":[26,40],"distance":[27],"to":[28,42],"input":[30,44,75],"rankings,":[31],"and":[32,54],"mean":[34],"minimizes":[37],"squared":[39],"distances":[41],"rankings.":[45],"The":[46],"has":[49],"been":[50],"extensively":[51],"studied":[52],"since":[53],"is":[55,86],"now":[56],"known":[57],"simply":[58],"as":[59],"Kemeny's":[60],"rule.":[61],"It":[62],"exhibits":[63],"majoritarian":[64],"properties,":[65],"so":[66],"for":[67],"example":[68],"if":[69],"more":[70],"than":[71],"half":[72],"are":[77],"same,":[79],"then":[80],"output":[82],"same":[88],"ranking.":[89]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-02T08:42:23.175194","created_date":"2024-04-17T00:00:00"}