{"id":"https://openalex.org/W7133321835","doi":"https://doi.org/10.48550/arxiv.2603.00411","title":"Existence and Computation of Fair Allocations under Constraints","display_name":"Existence and Computation of Fair Allocations under Constraints","publication_year":2026,"publication_date":"2026-02-28","ids":{"openalex":"https://openalex.org/W7133321835","doi":"https://doi.org/10.48550/arxiv.2603.00411"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.00411","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00411","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.00411","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039018238","display_name":"Siddharth Barman","orcid":"https://orcid.org/0000-0001-9276-2181"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Barman, Siddharth","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128023737","display_name":"Ioannis Caragiannis","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Caragiannis, Ioannis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024195506","display_name":"Sudarshan Shyam","orcid":"https://orcid.org/0009-0000-3795-3989"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shyam, Sudarshan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.8676000237464905,"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":0.8676000237464905,"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":0.02810000069439411,"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/T11182","display_name":"Auction Theory and Applications","score":0.02290000021457672,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5814999938011169},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5712000131607056},{"id":"https://openalex.org/keywords/budget-constraint","display_name":"Budget constraint","score":0.5673999786376953},{"id":"https://openalex.org/keywords/fair-division","display_name":"Fair division","score":0.5468999743461609},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5236999988555908},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5152999758720398},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4440999925136566}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5814999938011169},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5712000131607056},{"id":"https://openalex.org/C8505890","wikidata":"https://www.wikidata.org/wiki/Q605095","display_name":"Budget constraint","level":2,"score":0.5673999786376953},{"id":"https://openalex.org/C184659173","wikidata":"https://www.wikidata.org/wiki/Q1511081","display_name":"Fair division","level":2,"score":0.5468999743461609},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5236999988555908},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5152999758720398},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5077000260353088},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5034000277519226},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4440999925136566},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.382099986076355},{"id":"https://openalex.org/C153517567","wikidata":"https://www.wikidata.org/wiki/Q26090","display_name":"Mechanism design","level":2,"score":0.3709000051021576},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3684000074863434},{"id":"https://openalex.org/C127882523","wikidata":"https://www.wikidata.org/wiki/Q38066","display_name":"Existentialism","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34310001134872437},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.322299987077713},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.25920000672340393}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.00411","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00411","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.00411","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00411","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"score":0.4553961157798767,"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"study":[1],"fair":[2],"division":[3],"of":[4,32,61,115,146,183],"divisible":[5],"goods":[6,34,48],"under":[7],"generalized":[8],"assignment":[9],"constraints.":[10],"Here,":[11],"each":[12,182],"good":[13],"has":[14,23,118],"an":[15,143],"agent-specific":[16],"value":[17],"and":[18,20,79,101,169,185],"size,":[19],"every":[21],"agent":[22],"a":[24,119,124,129,162],"budget":[25,55],"constraint":[26],"that":[27,90,112,132,149,164,177],"limits":[28],"the":[29,33,50,54,59,65,113,147,172],"total":[30],"size":[31],"she":[35],"can":[36,134],"receive.":[37],"Since":[38],"it":[39],"may":[40],"not":[41,160],"always":[42,135],"be":[43,136],"feasible":[44,83],"to":[45,49,63],"assign":[46],"all":[47],"agents":[51,91],"while":[52],"respecting":[53],"constraints,":[56],"we":[57,74,99,110,127,141,175],"use":[58],"construct":[60],"charity":[62],"accommodate":[64],"unassigned":[66],"goods.":[67],"In":[68],"this":[69,86,156],"constrained":[70],"setting":[71],"with":[72,138,181],"charity,":[73],"obtain":[75,153],"several":[76],"new":[77],"existential":[78,104],"computational":[80],"results":[81,105],"for":[82,106],"envy-freeness":[84],"(FEF);":[85],"fairness":[87],"notion":[88],"requires":[89],"are":[92],"envy-free,":[93],"considering":[94],"only":[95],"budget-feasible":[96],"subsets.":[97],"First,":[98],"simplify":[100],"extend":[102],"known":[103],"FEF":[107,116,133,184],"allocations.":[108],"Then,":[109],"show":[111,176],"space":[114],"allocations":[117],"non-convex":[120],"structure.":[121],"Next,":[122],"using":[123],"fixed-point":[125],"argument,":[126],"establish":[128],"novel":[130],"guarantee":[131],"achieved":[137],"Pareto-optimality.":[139],"Furthermore,":[140],"give":[142],"alternative":[144],"proof":[145],"fact":[148],"one":[150],"cannot":[151],"additionally":[152],"truthfulness":[154,178],"in":[155],"context:":[157],"There":[158],"does":[159],"exist":[161],"mechanism":[163],"is":[165,179],"simultaneously":[166],"truthful,":[167],"fair,":[168],"Pareto-optimal.":[170],"On":[171],"positive":[173],"side,":[174],"compatible":[180],"Pareto-optimality,":[186],"individually.":[187]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-04T00:00:00"}