{"id":"https://openalex.org/W7140213290","doi":"https://doi.org/10.48550/arxiv.2603.21740","title":"Prophets Inequalities with Uncertain Acceptance","display_name":"Prophets Inequalities with Uncertain Acceptance","publication_year":2026,"publication_date":"2026-03-23","ids":{"openalex":"https://openalex.org/W7140213290","doi":"https://doi.org/10.48550/arxiv.2603.21740"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.21740","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.21740","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.2603.21740","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Martinez, Emile","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martinez, Emile","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Garrido-Lucero, Felipe","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Garrido-Lucero, Felipe","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Grandi, Umberto","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Grandi, Umberto","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"P\u00e9rez-Salazar, Sebastian","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P\u00e9rez-Salazar, Sebastian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.22779999673366547,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.22779999673366547,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.16130000352859497,"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":0.13210000097751617,"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/sequence","display_name":"Sequence (biology)","score":0.6729000210762024},{"id":"https://openalex.org/keywords/decision-maker","display_name":"Decision maker","score":0.6090999841690063},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.593999981880188},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.5371000170707703},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5303999781608582},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.41990000009536743},{"id":"https://openalex.org/keywords/optimal-decision","display_name":"Optimal decision","score":0.36489999294281006},{"id":"https://openalex.org/keywords/expected-value","display_name":"Expected value","score":0.35899999737739563}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6729000210762024},{"id":"https://openalex.org/C2986080485","wikidata":"https://www.wikidata.org/wiki/Q1331926","display_name":"Decision maker","level":2,"score":0.6090999841690063},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6011999845504761},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.593999981880188},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.5371000170707703},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5303999781608582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45879998803138733},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.41990000009536743},{"id":"https://openalex.org/C150325174","wikidata":"https://www.wikidata.org/wiki/Q4335500","display_name":"Optimal decision","level":3,"score":0.36489999294281006},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.35899999737739563},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.3560999929904938},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3203999996185303},{"id":"https://openalex.org/C92424840","wikidata":"https://www.wikidata.org/wiki/Q7912772","display_name":"Value of information","level":2,"score":0.31029999256134033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3077000081539154},{"id":"https://openalex.org/C183211740","wikidata":"https://www.wikidata.org/wiki/Q1372364","display_name":"Secretary problem","level":3,"score":0.30649998784065247},{"id":"https://openalex.org/C2780339515","wikidata":"https://www.wikidata.org/wiki/Q3074698","display_name":"Arrow","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C186116695","wikidata":"https://www.wikidata.org/wiki/Q5249226","display_name":"Decision analysis","level":2,"score":0.2888000011444092},{"id":"https://openalex.org/C162118730","wikidata":"https://www.wikidata.org/wiki/Q1128453","display_name":"Actuarial science","level":1,"score":0.28450000286102295},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.2822999954223633},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2696000039577484},{"id":"https://openalex.org/C113336015","wikidata":"https://www.wikidata.org/wiki/Q574010","display_name":"Complete information","level":2,"score":0.2669000029563904},{"id":"https://openalex.org/C205706631","wikidata":"https://www.wikidata.org/wiki/Q2319304","display_name":"Expected utility hypothesis","level":2,"score":0.26109999418258667},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C2779955035","wikidata":"https://www.wikidata.org/wiki/Q4686785","display_name":"Advice (programming)","level":2,"score":0.25380000472068787},{"id":"https://openalex.org/C2984634286","wikidata":"https://www.wikidata.org/wiki/Q1331926","display_name":"Decision process","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.21740","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.21740","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.2603.21740","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.21740","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":0.471805214881897,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,133],"introduce":[1],"the":[2,42,46,65,70,74,81,97,109,113,124,135,159,163,166,172,176,184,189,201,223],"\\textit{prophet":[3],"inequality":[4,209],"with":[5,77,210],"uncertain":[6],"acceptance}":[7],"model,":[8],"in":[9,105],"which":[10,158],"a":[11,16,24,35,195,206,216,226],"decision":[12,43,82,177],"maker":[13,44,83,178],"sequentially":[14],"observes":[15,45],"sequence":[17,217],"of":[18,218],"independent":[19],"options,":[20],"each":[21],"characterized":[22],"by":[23,215],"value":[25,47,103],"$x_i$":[26,48],"and":[27,49,52,80,112,121,143,191],"an":[28],"acceptance":[29,110],"probability":[30,78],"$p_i$,":[31],"both":[32],"sampled":[33],"from":[34],"known":[36],"joint":[37],"distribution.":[38],"At":[39],"time":[40,67],"$i$,":[41],"must":[50],"irrevocably":[51],"immediately":[53],"decide":[54],"whether":[55],"to":[56,58,62,64,179,205,225],"attempt":[57],"select":[59],"it":[60],"or":[61],"continue":[63],"next":[66],"step.":[68],"If":[69],"option":[71,126],"is":[72,192],"selected,":[73],"process":[75],"terminates":[76],"$p_i$":[79],"obtains":[84],"$x_i$;":[85],"otherwise,":[86],"she":[87],"continues":[88],"searching.":[89],"In":[90,151],"this":[91],"setting,":[92],"two":[93],"natural":[94],"benchmarks":[95],"arise:":[96],"\\textit{value-aware":[98],"decision-maker},":[99],"who":[100,116],"knows":[101,117],"all":[102,118,146],"realizations":[104,119],"advance":[106],"but":[107],"not":[108],"outcomes,":[111],"\\textit{full-knowledge":[114],"prophet},":[115],"beforehand":[120],"can":[122],"choose":[123],"best":[125],"among":[127],"those":[128],"that":[129,145,199,220],"will":[130],"be":[131],"accepted.":[132],"characterize":[134],"worst-case":[136],"competitive":[137],"ratios":[138],"between":[139],"our":[140],"defined":[141],"agents":[142],"show":[144],"these":[147],"values":[148,185],"equal":[149],"$1/2$.":[150],"addition,":[152],"we":[153],"provide":[154],"sufficient":[155],"conditions":[156],"under":[157],"value-aware":[160,202],"decision-maker":[161],"surpasses":[162],"$1/2$-barrier":[164],"against":[165],"more":[167,196],"informed":[168],"prophet.":[169],"This":[170],"demonstrates":[171],"(crucial)":[173],"interest":[174],"for":[175],"improve":[180],"her":[181],"knowledge":[182],"over":[183,188],"rather":[186],"than":[187],"acceptances,":[190],"obtained":[193],"via":[194],"general":[197],"result":[198],"reduces":[200],"decision-maker's":[203],"problem":[204,224],"classical":[207],"prophet":[208],"scaled":[211],"Bernoulli":[212],"distributions,":[213],"followed":[214],"transformations":[219],"further":[221],"reduce":[222],"unique":[227],"optimization":[228],"problem.":[229]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-25T00:00:00"}