{"id":"https://openalex.org/W7203910960","doi":"https://doi.org/10.48550/arxiv.2608.19474","title":"Monotone Allocations without Single-Crossing: When to Bunch and When to Jump","display_name":"Monotone Allocations without Single-Crossing: When to Bunch and When to Jump","publication_year":2026,"publication_date":"2026-08-19","ids":{"openalex":"https://openalex.org/W7203910960","doi":"https://doi.org/10.48550/arxiv.2608.19474"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.19474","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.19474","pdf_url":"https://arxiv.org/pdf/2608.19474","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/2608.19474","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010903448","display_name":"A. Araujo","orcid":"https://orcid.org/0000-0001-5633-6994","observed_orcids":["https://orcid.org/0000-0001-5633-6994"]},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Araujo, Aloisio","raw_affiliation_strings":["Instituto Nacional de Matem\u00e1tica Pura e Aplicada , Estrada Dona Castorina 110 , Rio de Janeiro , Brasil , and Graduate School of Economics ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada , Estrada Dona Castorina 110 , Rio de Janeiro , Brasil , and Graduate School of Economics ,","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130729655","display_name":"Carolina Parra","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Parra, Carolina","raw_affiliation_strings":["Faculdade de Ci\u00eancias Econ\u00f4micas , UERJ , Rua S\u00e3o Francisco Xavier 524 , Rio de Janeiro , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculdade de Ci\u00eancias Econ\u00f4micas , UERJ , Rua S\u00e3o Francisco Xavier 524 , Rio de Janeiro , Brazil","institution_ids":["https://openalex.org/I40034438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065396558","display_name":"Sergei Vieira","orcid":"https://orcid.org/0000-0003-1091-0131","observed_orcids":["https://orcid.org/0000-0003-1091-0131"]},"institutions":[{"id":"https://openalex.org/I44202434","display_name":"Funda\u00e7\u00e3o Getulio Vargas","ror":"https://ror.org/01evzkn27","country_code":"BR","type":"education","lineage":["https://openalex.org/I44202434"]},{"id":"https://openalex.org/I90844405","display_name":"Instituto Brasileiro de Mercado de Capitais","ror":"https://ror.org/0101h5125","country_code":"BR","type":"education","lineage":["https://openalex.org/I90844405"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Vieira, Sergei","raw_affiliation_strings":["Get\u00falio Vargas Foundation , Praia de Botafogo 190 , Rio de Janeiro , Brazil","Ibmec , Av. Presidente Wilson 118 , Rio de Janeiro , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Get\u00falio Vargas Foundation , Praia de Botafogo 190 , Rio de Janeiro , Brazil","institution_ids":["https://openalex.org/I44202434"]},{"raw_affiliation_string":"Ibmec , Av. Presidente Wilson 118 , Rio de Janeiro , Brazil","institution_ids":["https://openalex.org/I90844405"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T11182","display_name":"Auction Theory and Applications","score":0.9711999893188477,"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":0.9711999893188477,"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/T11031","display_name":"Game Theory and Applications","score":0.010999999940395355,"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":0.009700000286102295,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-contracts","display_name":"optimal contracts","score":0.5580000281333923},{"id":"https://openalex.org/keywords/procurement","display_name":"procurement","score":0.36399999260902405},{"id":"https://openalex.org/keywords/nonlinear-pricing","display_name":"nonlinear pricing","score":0.9819999933242798},{"id":"https://openalex.org/keywords/optimal-mechanism-design","display_name":"optimal mechanism design","score":0.3529999852180481},{"id":"https://openalex.org/keywords/binding-constraints","display_name":"binding constraints","score":0.3700000047683716}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7781000137329102},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7271000146865845},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.6866000294685364},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5722000002861023},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.43810001015663147},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3871999979019165},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35580000281333923},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.27869999408721924},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27070000767707825},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2667999863624573},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.2667999863624573},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.26440000534057617}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.19474","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.19474","pdf_url":"https://arxiv.org/pdf/2608.19474","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.2608.19474","doi":"https://doi.org/10.48550/arxiv.2608.19474","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.19474","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.19474","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.19474","pdf_url":"https://arxiv.org/pdf/2608.19474","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203910960.pdf","grobid_xml":"https://content.openalex.org/works/W7203910960.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2071706818","https://openalex.org/W3121676470","https://openalex.org/W4383503950","https://openalex.org/W7096426757","https://openalex.org/W2989396738","https://openalex.org/W4407788807","https://openalex.org/W2075621133","https://openalex.org/W6884974847","https://openalex.org/W3122754359","https://openalex.org/W7138924400"],"abstract_inverted_index":{"We":[0],"study":[1],"one-dimensional":[2],"screening":[3],"when":[4],"the":[5,31,34,39,45,52,56,92,95,98,119,125],"Spence-Mirrlees":[6],"condition":[7],"fails":[8],"along":[9,91,103],"a":[10,61,75,80,84,116],"monotone":[11,82],"dividing":[12],"curve,":[13,83],"on":[14,118],"which":[15],"all":[16,107],"types":[17],"value":[18],"marginal":[19,25,28,65],"output":[20],"equally.":[21],"A":[22],"single":[23],"ratio,":[24],"distortion":[26],"over":[27],"rent,":[29],"governs":[30],"problem.":[32],"When":[33,58,77],"relaxed":[35],"solution":[36],"stays":[37],"in":[38,44,55],"positive":[40,46],"region,":[41],"non-decreasing":[42],"optima":[43],"single-crossing":[47],"region":[48],"are":[49,67,124],"continuous":[50,70],"if":[51,97],"ratio":[53,99],"increases":[54],"decision.":[57],"it":[59,78,134],"crosses":[60,79],"flat":[62],"curve":[63],"and":[64,88,131,145],"rents":[66],"separable,":[68],"every":[69],"contract":[71,85],"is":[72,113,135],"improved":[73],"by":[74,115],"jump.":[76],"strictly":[81],"that":[86],"pools":[87],"jumps":[89],"continues":[90],"mirror":[93],"of":[94,143],"pool":[96],"does":[100],"not":[101],"increase":[102],"it.":[104],"Optimality":[105],"among":[106],"implementable":[108],"allocations,":[109],"deterministic":[110],"or":[111],"random,":[112],"proved":[114],"measure":[117],"binding":[120],"constraints":[121],"whose":[122],"weights":[123],"same":[126],"ratio;":[127],"with":[128],"constant":[129],"curvatures":[130],"no":[132],"crossing,":[133],"also":[136],"necessary.":[137],"As":[138],"applications,":[139],"we":[140],"solve":[141],"problems":[142],"procurement":[144],"nonlinear":[146],"pricing.":[147]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-08-22T00:00:00"}