{"id":"https://openalex.org/W7154838042","doi":"https://doi.org/10.1016/j.mathsocsci.2026.102532","title":"Decomposition envy-freeness in random assignment","display_name":"Decomposition envy-freeness in random assignment","publication_year":2026,"publication_date":"2026-04-18","ids":{"openalex":"https://openalex.org/W7154838042","doi":"https://doi.org/10.1016/j.mathsocsci.2026.102532"},"language":"en","primary_location":{"id":"doi:10.1016/j.mathsocsci.2026.102532","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mathsocsci.2026.102532","pdf_url":null,"source":{"id":"https://openalex.org/S149064342","display_name":"Mathematical Social Sciences","issn_l":"0165-4896","issn":["0165-4896","1879-3118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Social Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.mathsocsci.2026.102532","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025634820","display_name":"Yasushi Kawase","orcid":"https://orcid.org/0000-0001-5626-779X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yasushi Kawase","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-5626-779X","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133949477","display_name":"Warut Suksompong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Warut Suksompong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040863107","display_name":"Hanna Sumita","orcid":"https://orcid.org/0000-0003-4005-3206"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hanna Sumita","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4005-3206","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054769049","display_name":"Yu Yokoi","orcid":"https://orcid.org/0000-0002-7316-5434"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yu Yokoi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-7316-5434","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025634820"],"corresponding_institution_ids":[],"apc_list":{"value":2720,"currency":"USD","value_usd":2720},"apc_paid":{"value":2720,"currency":"USD","value_usd":2720},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.90866282,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"141","issue":null,"first_page":"102532","last_page":"102532"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.5443000197410583,"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":0.5443000197410583,"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/T11031","display_name":"Game Theory and Applications","score":0.07800000160932541,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.05139999836683273,"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/decomposition","display_name":"Decomposition","score":0.8282999992370605},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6072999835014343},{"id":"https://openalex.org/keywords/random-assignment","display_name":"Random assignment","score":0.5389000177383423},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48410001397132874},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.45019999146461487}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.8282999992370605},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6072999835014343},{"id":"https://openalex.org/C129410224","wikidata":"https://www.wikidata.org/wiki/Q7291958","display_name":"Random assignment","level":2,"score":0.5389000177383423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5167999863624573},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48410001397132874},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.45019999146461487},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.41999998688697815},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38830000162124634},{"id":"https://openalex.org/C85044808","wikidata":"https://www.wikidata.org/wiki/Q620614","display_name":"Assignment problem","level":2,"score":0.38260000944137573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3734000027179718},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3463999927043915},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34549999237060547},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.334199994802475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3003999888896942}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.mathsocsci.2026.102532","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mathsocsci.2026.102532","pdf_url":null,"source":{"id":"https://openalex.org/S149064342","display_name":"Mathematical Social Sciences","issn_l":"0165-4896","issn":["0165-4896","1879-3118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Social Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2604.16973","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2604.16973","pdf_url":"https://arxiv.org/pdf/2604.16973","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"text"}],"best_oa_location":{"id":"doi:10.1016/j.mathsocsci.2026.102532","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.mathsocsci.2026.102532","pdf_url":null,"source":{"id":"https://openalex.org/S149064342","display_name":"Mathematical Social Sciences","issn_l":"0165-4896","issn":["0165-4896","1879-3118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Social Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2029697034","display_name":null,"funder_award_id":"JP21K17708","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5393979288","display_name":null,"funder_award_id":"JP21H03397","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8058665615","display_name":null,"funder_award_id":"JPMJER2301","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G925228835","display_name":null,"funder_award_id":"JPMJER2301","funder_id":"https://openalex.org/F4320338112","funder_display_name":"Exploratory Research for Advanced Technology"}],"funders":[{"id":"https://openalex.org/F4320320698","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49"},{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338112","display_name":"Exploratory Research for Advanced Technology","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1982598002","https://openalex.org/W2001154078","https://openalex.org/W2010264963","https://openalex.org/W2014437184","https://openalex.org/W2069259012","https://openalex.org/W2106897266","https://openalex.org/W2270783633","https://openalex.org/W3029111965","https://openalex.org/W3101852004","https://openalex.org/W4205777206","https://openalex.org/W4406413018"],"related_works":[],"abstract_inverted_index":{"In":[0],"random":[1],"assignment,":[2],"fairness":[3],"is":[4,40],"often":[5],"captured":[6],"by":[7],"stochastic-dominance":[8],"envy-freeness":[9,37],"(SD-EF).":[10],"We":[11,52],"observe":[12],"that":[13,20,54],"assignments":[14],"satisfying":[15],"SD-EF":[16,56],"may":[17],"admit":[18],"decompositions":[19],"result":[21],"in":[22],"each":[23],"agent":[24,27],"envying":[25],"another":[26],"with":[28],"high":[29],"probability.":[30],"To":[31],"address":[32],"this,":[33],"we":[34],"introduce":[35],"decomposition":[36,45,63],"(Dec-EF),":[38],"which":[39],"a":[41,44,61],"property":[42],"of":[43,48],"rather":[46],"than":[47],"an":[49,55],"assignment":[50,57],"matrix.":[51],"show":[53],"matrix":[58],"always":[59],"admits":[60],"Dec-EF":[62],"when":[64],"there":[65],"are":[66],"at":[67,75],"most":[68,76],"three":[69],"agents":[70,73],"or":[71],"the":[72],"have":[74],"two":[77],"distinct":[78],"preferences.":[79]},"counts_by_year":[],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2026-04-19T00:00:00"}