{"id":"https://openalex.org/W7202288089","doi":"https://doi.org/10.48550/arxiv.2608.10397","title":"To EFX OR to MMS, That is the Question","display_name":"To EFX OR to MMS, That is the Question","publication_year":2026,"publication_date":"2026-08-11","ids":{"openalex":"https://openalex.org/W7202288089","doi":"https://doi.org/10.48550/arxiv.2608.10397"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.10397","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.10397","pdf_url":"https://arxiv.org/pdf/2608.10397","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.10397","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086315841","display_name":"Hadi Hosseini","orcid":"https://orcid.org/0000-0001-5468-6798","observed_orcids":["https://orcid.org/0000-0001-5468-6798"]},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Hosseini, Hadi","raw_affiliation_strings":["Pennsylvania State University IIT Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University IIT Delhi","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5146976726","display_name":"Payas Khurana","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Khurana, Payas","raw_affiliation_strings":["Pennsylvania State University IIT Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University IIT Delhi","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105103096","display_name":"Shraddha Pathak","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pathak, Shraddha","raw_affiliation_strings":["Pennsylvania State University IIT Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University IIT Delhi","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012314340","display_name":"Rohit Vaish","orcid":"https://orcid.org/0000-0002-4417-3718","observed_orcids":["https://orcid.org/0000-0002-4417-3718"]},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vaish, Rohit","raw_affiliation_strings":["Pennsylvania State University IIT Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University IIT Delhi","institution_ids":["https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I68891433"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"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":0.9994999766349792,"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/T12288","display_name":"Optimization and Search Problems","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/maximin-share","display_name":"maximin share","score":0.8309999704360962},{"id":"https://openalex.org/keywords/indivisible-goods","display_name":"indivisible goods","score":0.7350000143051147},{"id":"https://openalex.org/keywords/fair-division","display_name":"fair division","score":0.9049999713897705},{"id":"https://openalex.org/keywords/impossibility-results","display_name":"impossibility results","score":0.7950000166893005},{"id":"https://openalex.org/keywords/additive-valuations","display_name":"additive valuations","score":0.7760000228881836},{"id":"https://openalex.org/keywords/polynomial-time-approximation-scheme","display_name":"polynomial-time approximation scheme","score":0.8429999947547913}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.7188000082969666},{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.6762999892234802},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.6119999885559082},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5746999979019165},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.571399986743927},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.46149998903274536},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.38929998874664307},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.38420000672340393},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.38280001282691956},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C196345963","wikidata":"https://www.wikidata.org/wiki/Q4175604","display_name":"Allocative efficiency","level":2,"score":0.29490000009536743},{"id":"https://openalex.org/C123650614","wikidata":"https://www.wikidata.org/wiki/Q282491","display_name":"Strategic dominance","level":2,"score":0.2935999929904938},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26899999380111694},{"id":"https://openalex.org/C91810955","wikidata":"https://www.wikidata.org/wiki/Q7731670","display_name":"Incentive compatibility","level":3,"score":0.25929999351501465}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.10397","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.10397","pdf_url":"https://arxiv.org/pdf/2608.10397","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.10397","doi":"https://doi.org/10.48550/arxiv.2608.10397","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.10397","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.10397","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.10397","pdf_url":"https://arxiv.org/pdf/2608.10397","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5250676550","display_name":"Collaborative Research: RI: Medium: Transparent Fair Division of Indivisble Items","funder_award_id":"2107173","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6140427167","display_name":null,"funder_award_id":"DST/INSPIRE/04/2020/000107","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"},{"id":"https://openalex.org/G6385826710","display_name":"CAREER: Robust Fairness in Matching Markets","funder_award_id":"2144413","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"},{"id":"https://openalex.org/F4320306227","display_name":"Arthritis National Research Foundation","ror":"https://ror.org/03abbex33"},{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7202288089.pdf","grobid_xml":"https://content.openalex.org/works/W7202288089.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W2067297441","https://openalex.org/W2093979815","https://openalex.org/W2737784017","https://openalex.org/W3124038879","https://openalex.org/W3154858224","https://openalex.org/W3186360956","https://openalex.org/W4385764245","https://openalex.org/W4385764540","https://openalex.org/W4386422335","https://openalex.org/W4403587994","https://openalex.org/W4409364721","https://openalex.org/W4409365268","https://openalex.org/W4411945978","https://openalex.org/W7128823208","https://openalex.org/W7129378964","https://openalex.org/W7152464544","https://openalex.org/W7155047936","https://openalex.org/W7160600048","https://openalex.org/W7161952363","https://openalex.org/W7164000247","https://openalex.org/W7165192392"],"related_works":["https://openalex.org/W7217920846","https://openalex.org/W4409364721","https://openalex.org/W4221148705","https://openalex.org/W7163658813","https://openalex.org/W4386307637","https://openalex.org/W7204878920","https://openalex.org/W3074664185","https://openalex.org/W4417434142","https://openalex.org/W2949121341","https://openalex.org/W6929227772"],"abstract_inverted_index":{"We":[0,61,120],"study":[1],"the":[2,46,86,127,164,185],"agent-wise":[3],"disjunction":[4,128],"of":[5,48,187],"two":[6,136],"central":[7],"fairness":[8,36,182],"notions":[9],"for":[10,38,53,92,114,169],"indivisible":[11],"items,":[12],"where":[13],"every":[14],"agent":[15],"must":[16],"be":[17],"either":[18],"envy-free":[19],"up":[20],"to":[21,145],"any":[22],"item":[23],"(EFX)":[24],"or":[25],"maximin-share":[26],"(MMS)":[27],"satisfied.":[28],"One":[29],"might":[30],"expect":[31],"that":[32,158,176],"having":[33],"a":[34,55,106,123],"flexible":[35],"requirement":[37],"individual":[39],"agents":[40,66,74],"will":[41],"restore":[42],"existence,":[43],"especially":[44],"because":[45],"existence":[47,91],"EFX":[49,82,139,149,166],"itself":[50],"resisted":[51],"resolution":[52],"nearly":[54],"decade.":[56],"Surprisingly,":[57],"it":[58],"does":[59],"not.":[60],"construct":[62],"counterexamples":[63],"with":[64,72,96,135],"three":[65,73,99],"and":[67,71,75,117,129,140],"eight":[68],"submodular":[69,77],"goods,":[70],"seven":[76],"chores,":[78],"significantly":[79],"strengthening":[80],"recent":[81],"impossibility":[83],"results.":[84],"On":[85],"positive":[87],"side,":[88],"we":[89,109,156],"prove":[90],"additive":[93,115,133,160],"mixed":[94,170],"items":[95],"at":[97],"most":[98],"valuation":[100,137],"types":[101],"when":[102],"one":[103],"type":[104],"is":[105],"singleton.":[107],"Additionally,":[108],"obtain":[110],"polynomial-time":[111],"approximation":[112],"schemes":[113],"goods-only":[116],"chores-only":[118],"instances.":[119],"also":[121,191],"identify":[122],"clean":[124],"separation":[125],"between":[126],"its":[130],"constituents:":[131],"For":[132],"chores":[134],"types,":[138],"MMS":[141,151,168],"are":[142],"both":[143],"known":[144],"fail,":[146],"whereas":[147],"an":[148],"$\\vee$":[150],"allocation":[152],"always":[153],"exists.":[154],"Finally,":[155],"show":[157,175],"identical":[159],"valuations":[161],"even":[162],"admit":[163],"conjunction":[165],"$\\wedge$":[167],"items.":[171],"Overall,":[172],"our":[173],"results":[174],"allowing":[177],"flexibility":[178],"in":[179],"choosing":[180],"agent-specific":[181],"certificates":[183],"expands":[184],"frontier":[186],"fair":[188],"solutions":[189],"while":[190],"uncovering":[192],"surprising":[193],"impossibilities.":[194]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-13T00:00:00"}
