{"id":"https://openalex.org/W3040731779","doi":"https://doi.org/10.1145/3391403.3399511","title":"EFX Exists for Three Agents","display_name":"EFX Exists for Three Agents","publication_year":2020,"publication_date":"2020-07-09","ids":{"openalex":"https://openalex.org/W3040731779","doi":"https://doi.org/10.1145/3391403.3399511","mag":"3040731779"},"language":"en","primary_location":{"id":"doi:10.1145/3391403.3399511","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3391403.3399511","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3391403.3399511","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 21st ACM Conference on Economics and Computation","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/10.1145/3391403.3399511","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011077385","display_name":"Bhaskar Ray Chaudhury","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Bhaskar Ray Chaudhury","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarland Informatics Campus, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarland Informatics Campus, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077432617","display_name":"Jugal Garg","orcid":"https://orcid.org/0000-0001-6439-7308"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jugal Garg","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010961023","display_name":"Kurt Mehlhorn","orcid":"https://orcid.org/0000-0003-4020-4334"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kurt Mehlhorn","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarland Informatics Campus, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarland Informatics Campus, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011077385"],"corresponding_institution_ids":["https://openalex.org/I4210109712"],"apc_list":null,"apc_paid":null,"fwci":19.2409,"has_fulltext":true,"cited_by_count":75,"citation_normalized_percentile":{"value":0.99094933,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9818999767303467,"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/T10646","display_name":"Experimental Behavioral Economics Studies","score":0.9524999856948853,"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":0.6768660545349121},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5765633583068848},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5146387815475464},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.47718846797943115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4149090349674225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38508400321006775},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3401407301425934},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.10660862922668457},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.05643808841705322}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6768660545349121},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5765633583068848},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5146387815475464},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.47718846797943115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4149090349674225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38508400321006775},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3401407301425934},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.10660862922668457},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.05643808841705322},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3391403.3399511","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3391403.3399511","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3391403.3399511","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 21st ACM Conference on Economics and Computation","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3391403.3399511","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3391403.3399511","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3391403.3399511","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 21st ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6299999952316284}],"awards":[{"id":"https://openalex.org/G1705074615","display_name":null,"funder_award_id":"CCF-1942321 (CAREER)","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G275385925","display_name":null,"funder_award_id":"1942321","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5200183676","display_name":null,"funder_award_id":"CCF-1942321","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3040731779.pdf","grobid_xml":"https://content.openalex.org/works/W3040731779.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1542025417","https://openalex.org/W2017970485","https://openalex.org/W2119085547","https://openalex.org/W2121240598","https://openalex.org/W2150409561","https://openalex.org/W2346164124","https://openalex.org/W2522115756","https://openalex.org/W2584164274","https://openalex.org/W2592030152","https://openalex.org/W2607725432","https://openalex.org/W2787109037","https://openalex.org/W2811122596","https://openalex.org/W2913288790","https://openalex.org/W2918362298","https://openalex.org/W2962812754","https://openalex.org/W2962833396","https://openalex.org/W2962836029","https://openalex.org/W2963034101","https://openalex.org/W2963444396","https://openalex.org/W2963475394","https://openalex.org/W2964250178","https://openalex.org/W2966609510","https://openalex.org/W3001150461","https://openalex.org/W3001493365","https://openalex.org/W3005909483","https://openalex.org/W3123638799","https://openalex.org/W3144138375","https://openalex.org/W4230883182","https://openalex.org/W4231238553","https://openalex.org/W4252822417"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W4300101996","https://openalex.org/W2165950148","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W4300899577","https://openalex.org/W3194471551"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,39,49,73],"problem":[3],"of":[4,8,41,52,105],"distributing":[5],"a":[6,17,90],"set":[7],"indivisible":[9],"items":[10,95],"among":[11],"agents":[12,85],"with":[13,83,99],"additive":[14],"valuations":[15],"in":[16],"fairmanner.":[18],"The":[19],"fairness":[20],"notion":[21],"under":[22],"consideration":[23],"is":[24,89],"Envy-freeness":[25],"up":[26],"to":[27],"anyitem":[28],"(EFX).":[29],"Despite":[30],"significant":[31],"efforts":[32],"by":[33,75,79],"many":[34],"researchers":[35],"for":[36,67,86],"several":[37],"years,":[38],"existence":[40],"EFX":[42,63,92,108],"allocations":[43],"has":[44],"not":[45,97],"been":[46],"settled":[47],"beyond":[48],"simple":[50],"case":[51],"two":[53],"agents.":[54,69],"In":[55],"this":[56],"paper,":[57],"we":[58,71],"show":[59],"constructively":[60],"that":[61,104],"an":[62,81],"allocation":[64,93],"always":[65],"exists":[66],"three":[68,84],"Furthermore,":[70],"falsify":[72],"conjecture":[74],"Caragiannis":[76],"et":[77],"al.[9]":[78],"showing":[80],"instance":[82],"which":[87],"there":[88],"partial":[91],"(some":[94],"are":[96],"allocated)":[98],"higher":[100],"Nash":[101],"welfare":[102],"than":[103],"any":[106],"complete":[107],"allocation.":[109]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":25},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
