{"id":"https://openalex.org/W7165885550","doi":"https://doi.org/10.48550/arxiv.2606.25431","title":"Strict Fairness at What Cost? Envy-Free Contracts with Subsidies","display_name":"Strict Fairness at What Cost? Envy-Free Contracts with Subsidies","publication_year":2026,"publication_date":"2026-06-24","ids":{"openalex":"https://openalex.org/W7165885550","doi":"https://doi.org/10.48550/arxiv.2606.25431"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.25431","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.25431","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,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.25431","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139355343","display_name":"Matteo Castiglioni","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Castiglioni, Matteo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139361467","display_name":"Junjie Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Junjie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5139320136","display_name":"Yingkai Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Yingkai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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/T11182","display_name":"Auction Theory and Applications","score":0.5501000285148621,"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"}},"topics":[{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.5501000285148621,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.1339000016450882,"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/T10883","display_name":"Ethics and Social Impacts of AI","score":0.13339999318122864,"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/set","display_name":"Set (abstract data type)","score":0.6952000260353088},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.6571999788284302},{"id":"https://openalex.org/keywords/subsidy","display_name":"Subsidy","score":0.6370000243186951},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.4936000108718872},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.47450000047683716},{"id":"https://openalex.org/keywords/mechanism-design","display_name":"Mechanism design","score":0.3425000011920929}],"concepts":[{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6952000260353088},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.6571999788284302},{"id":"https://openalex.org/C84265765","wikidata":"https://www.wikidata.org/wiki/Q193219","display_name":"Subsidy","level":2,"score":0.6370000243186951},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49549999833106995},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.4936000108718872},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.47450000047683716},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3684000074863434},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.362199991941452},{"id":"https://openalex.org/C153517567","wikidata":"https://www.wikidata.org/wiki/Q26090","display_name":"Mechanism design","level":2,"score":0.3425000011920929},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.30809998512268066},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.3077999949455261},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2903999984264374},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C79301358","wikidata":"https://www.wikidata.org/wiki/Q1918846","display_name":"Contract theory","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.25431","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.25431","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,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.25431","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.25431","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,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.48555395007133484}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"study":[1],"algorithmic":[2],"fair":[3],"contract":[4],"design,":[5],"where":[6,119],"a":[7,15,20,27,59,87,159],"principal":[8,72],"designs":[9],"task-level":[10],"contracts":[11,33,116,128,132,153],"and":[12],"fairly":[13],"delegates":[14],"set":[16,21],"of":[17,22,39,90,93,114,124,140,166],"tasks":[18,167],"to":[19,78,101],"agents.":[23,125],"Prior":[24],"work":[25],"reveals":[26],"fairness-revenue":[28],"dilemma:":[29],"exact":[30],"envy-free":[31],"(EF)":[32],"may":[34,73],"have":[35],"an":[36,134],"unbounded":[37],"price":[38,92],"fairness":[40,94],"(PoF),":[41],"while":[42],"approximate":[43],"notions":[44],"avoid":[45],"this":[46,55],"unboundedness":[47],"only":[48],"by":[49,133],"weakening":[50],"strict":[51,80],"fairness.":[52,81],"To":[53],"address":[54],"dilemma,":[56],"we":[57,109,145],"propose":[58],"novel":[60],"scheme,":[61],"called":[62],"{\\it":[63],"Envy-free":[64],"Contracts":[65],"with":[66],"Subsidies}":[67],"(EFS),":[68],"in":[69,138,156],"which":[70],"the":[71,91,112,122,141,147,164],"additionally":[74],"offer":[75],"agent-specific":[76],"subsidies":[77],"restore":[79],"Our":[82],"main":[83],"technical":[84],"result":[85],"is":[86,117,121,154,168],"tight":[88],"characterization":[89],"for":[95],"EFS":[96,115,127,152],"contracts.":[97],"In":[98],"sharp":[99],"contrast":[100],"EF":[102,131],"contracts,":[103],"whose":[104],"PoF":[105,113],"can":[106,129],"be":[107],"unbounded,":[108],"show":[110],"that":[111],"$n^{n+O(1)}$,":[118],"$n$":[120],"number":[123,165],"Moreover,":[126],"outperform":[130],"arbitrarily":[135],"large":[136],"factor":[137],"terms":[139],"principal's":[142],"revenue.":[143],"Finally,":[144],"present":[146],"complexity":[148],"landscape:":[149],"computing":[150],"optimal":[151],"NP-hard":[155],"general,":[157],"whereas":[158],"polynomial-time":[160],"algorithm":[161],"exists":[162],"when":[163],"constant.":[169]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-06-26T00:00:00"}