{"id":"https://openalex.org/W7137901482","doi":"https://doi.org/10.1609/aaai.v40i20.38723","title":"EFX and PO Allocation Exists for Two Types of Goods","display_name":"EFX and PO Allocation Exists for Two Types of Goods","publication_year":2026,"publication_date":"2026-03-14","ids":{"openalex":"https://openalex.org/W7137901482","doi":"https://doi.org/10.1609/aaai.v40i20.38723"},"language":"en","primary_location":{"id":"doi:10.1609/aaai.v40i20.38723","is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v40i20.38723","pdf_url":"https://ojs.aaai.org/index.php/AAAI/article/download/38723/42685","source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the AAAI Conference on Artificial Intelligence","raw_type":"journal-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ojs.aaai.org/index.php/AAAI/article/download/38723/42685","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5122339333","display_name":"Vladimir Davidiuk","orcid":null},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir Davidiuk","raw_affiliation_strings":["St. Petersburg State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg State University","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122388519","display_name":"Yuriy Dementiev","orcid":null},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yuriy Dementiev","raw_affiliation_strings":["ITMO University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University","institution_ids":["https://openalex.org/I173089394"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017612821","display_name":"Artur Ignatiev","orcid":"https://orcid.org/0000-0002-1960-5064"},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Artur Ignatiev","raw_affiliation_strings":["ITMO University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University","institution_ids":["https://openalex.org/I173089394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021164153","display_name":"Danil Sagunov","orcid":"https://orcid.org/0000-0003-3327-9768"},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Danil Sagunov","raw_affiliation_strings":["ITMO University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University","institution_ids":["https://openalex.org/I173089394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20948533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"20","first_page":"16795","last_page":"16802"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9715999960899353,"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":0.9715999960899353,"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":0.006300000008195639,"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/T10883","display_name":"Ethics and Social Impacts of AI","score":0.004100000020116568,"subfield":{"id":"https://openalex.org/subfields/3311","display_name":"Safety Research"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6399000287055969},{"id":"https://openalex.org/keywords/fair-division","display_name":"Fair division","score":0.5931000113487244},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5580999851226807},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.45019999146461487},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.43869999051094055},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41670000553131104}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6399000287055969},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.5931000113487244},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5580999851226807},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5509999990463257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5489000082015991},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.45019999146461487},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.43869999051094055},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41670000553131104},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.36160001158714294},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.33559998869895935},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.3116999864578247},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3052000105381012},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2851000130176544},{"id":"https://openalex.org/C2778599509","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto efficiency","level":3,"score":0.28349998593330383},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2745000123977661},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.27000001072883606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2694000005722046},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25529998540878296}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1609/aaai.v40i20.38723","is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v40i20.38723","pdf_url":"https://ojs.aaai.org/index.php/AAAI/article/download/38723/42685","source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the AAAI Conference on Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:ojs.aaai.org:article/38723","is_oa":false,"landing_page_url":"https://ojs.aaai.org/index.php/AAAI/article/view/38723","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2159-5399","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1609/aaai.v40i20.38723","is_oa":true,"landing_page_url":"https://doi.org/10.1609/aaai.v40i20.38723","pdf_url":"https://ojs.aaai.org/index.php/AAAI/article/download/38723/42685","source":{"id":"https://openalex.org/S4210191458","display_name":"Proceedings of the AAAI Conference on Artificial Intelligence","issn_l":"2159-5399","issn":["2159-5399","2374-3468"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320058","host_organization_name":"Association for the Advancement of Artificial Intelligence","host_organization_lineage":["https://openalex.org/P4310320058"],"host_organization_lineage_names":["Association for the Advancement of Artificial Intelligence"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the AAAI Conference on Artificial Intelligence","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324632","display_name":"Ministero dello Sviluppo Economico","ror":"https://ror.org/011z3ff80"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7137901482.pdf","grobid_xml":"https://content.openalex.org/works/W7137901482.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,16],"study":[1],"the":[2,75,85,115],"problem":[3],"of":[4,33,52,73,111],"fairly":[5,123],"and":[6,69,99,125],"efficiently":[7],"allocating":[8],"indivisible":[9,34],"goods":[10],"among":[11],"agents":[12],"with":[13,63],"additive":[14],"valuations.":[15],"focus":[17],"on":[18],"envy-freeness":[19],"up":[20],"to":[21],"any":[22,50],"good":[23],"(EFX)":[24],"\u2014":[25],"an":[26,129],"important":[27],"fairness":[28],"notion":[29],"in":[30,40,103],"fair":[31],"division":[32],"goods.":[35],"A":[36],"central":[37],"open":[38],"question":[39],"this":[41,81],"field":[42],"is":[43],"whether":[44],"EFX":[45,59,91],"allocations":[46,92],"always":[47,97],"exist":[48,98],"for":[49,61,70],"number":[51],"agents.":[53],"While":[54],"recent":[55],"results":[56],"have":[57],"established":[58],"existence":[60],"settings":[62],"at":[64],"most":[65],"three":[66],"distinct":[67],"valuations":[68,116],"two":[71,109],"types":[72,110],"goods,":[74,112],"general":[76],"case":[77],"remains":[78],"unresolved.":[79],"In":[80],"paper,":[82],"we":[83],"extend":[84],"existent":[86],"knowledge":[87],"by":[88],"proving":[89],"that":[90,114],"satisfying":[93],"Pareto":[94],"optimality":[95],"(PO)":[96],"can":[100],"be":[101],"computed":[102],"quasiliniear":[104],"time":[105],"when":[106],"there":[107],"are":[108,117],"given":[113],"positive.":[118],"Our":[119],"findings":[120],"demonstrate":[121],"a":[122],"simple":[124],"efficient":[126],"algorithm":[127],"constructing":[128],"EFX+PO":[130],"allocation.":[131]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2026-03-18T00:00:00"}