{"id":"https://openalex.org/W7134815384","doi":"https://doi.org/10.48550/arxiv.2603.08679","title":"A New Lower Bound for the Random Offerer Mechanism in Bilateral Trade using AI-Guided Evolutionary Search","display_name":"A New Lower Bound for the Random Offerer Mechanism in Bilateral Trade using AI-Guided Evolutionary Search","publication_year":2026,"publication_date":"2026-03-09","ids":{"openalex":"https://openalex.org/W7134815384","doi":"https://doi.org/10.48550/arxiv.2603.08679"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2603.08679","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128689484","display_name":"Yang Cai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cai, Yang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128663305","display_name":"Vineet Gupta","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gupta, Vineet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128657600","display_name":"Zun Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Zun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5075894805","display_name":"Aranyak Mehta","orcid":"https://orcid.org/0000-0002-6132-4901"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mehta, Aranyak","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":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24661509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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":0.9412000179290771,"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":0.9412000179290771,"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":0.009499999694526196,"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":0.007400000002235174,"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/counterexample","display_name":"Counterexample","score":0.7386000156402588},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6832000017166138},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5583999752998352},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.5583999752998352},{"id":"https://openalex.org/keywords/incentive-compatibility","display_name":"Incentive compatibility","score":0.503600001335144},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4875999987125397},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.48590001463890076}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7386000156402588},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6832000017166138},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5583999752998352},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.5583999752998352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5220000147819519},{"id":"https://openalex.org/C91810955","wikidata":"https://www.wikidata.org/wiki/Q7731670","display_name":"Incentive compatibility","level":3,"score":0.503600001335144},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4875999987125397},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.48590001463890076},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.44830000400543213},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.43070000410079956},{"id":"https://openalex.org/C2780967403","wikidata":"https://www.wikidata.org/wiki/Q256330","display_name":"Bilateral trade","level":3,"score":0.42989999055862427},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4262999892234802},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.420199990272522},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.3653999865055084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3555999994277954},{"id":"https://openalex.org/C153517567","wikidata":"https://www.wikidata.org/wiki/Q26090","display_name":"Mechanism design","level":2,"score":0.3517000079154968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3287000060081482},{"id":"https://openalex.org/C201236551","wikidata":"https://www.wikidata.org/wiki/Q7310809","display_name":"Relative value","level":2,"score":0.30480000376701355},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.28220000863075256},{"id":"https://openalex.org/C102408133","wikidata":"https://www.wikidata.org/wiki/Q5156350","display_name":"Competitive analysis","level":3,"score":0.2603999972343445}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2603.08679","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Article"},{"id":"doi:10.48550/arxiv.2603.08679","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.08679","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":"Preprint"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2603.08679","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.4683910310268402}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,51],"celebrated":[1],"Myerson--Satterthwaite":[2],"theorem":[3],"shows":[4],"that":[5,114,134,179],"in":[6],"bilateral":[7],"trade,":[8],"no":[9],"mechanism":[10,43,56,82,103],"can":[11,44,137],"be":[12,138],"simultaneously":[13],"fully":[14],"efficient,":[15],"Bayesian":[16],"incentive":[17],"compatible":[18],"(BIC),":[19],"and":[20,41,54,60,83,143],"budget":[21],"balanced":[22],"(BB).":[23],"This":[24,189],"naturally":[25],"raises":[26],"the":[27,32,46,72,79,89,97,101,115,135,168,196,200],"question":[28,95],"of":[29,71,100,170,185,199],"how":[30],"closely":[31],"gains":[33],"from":[34],"trade":[35],"(GFT)":[36],"achievable":[37],"by":[38,121],"a":[39,175,191,204],"BIC":[40,53],"BB":[42,55],"approximate":[45],"first-best":[47,90,106],"(fully":[48],"efficient)":[49],"benchmark.":[50],"optimal":[52],"is":[57,119],"typically":[58],"complex":[59],"highly":[61],"distribution-dependent,":[62],"making":[63],"it":[64,110],"difficult":[65],"to":[66,88,105,127,166],"characterize":[67],"directly.":[68],"Consequently,":[69],"much":[70],"literature":[73],"analyzes":[74],"simpler":[75],"mechanisms":[76],"such":[77],"as":[78],"Random-Offerer":[80,201],"(RO)":[81],"establishes":[84,190],"constant-factor":[85],"guarantees":[86],"relative":[87,104],"GFT.":[91],"An":[92],"important":[93],"open":[94],"concerns":[96],"worst-case":[98,177,197],"performance":[99,198],"RO":[102],"(FB)":[107],"efficiency.":[108],"While":[109],"was":[111],"originally":[112],"hypothesized":[113],"approximation":[116],"ratio":[117,136,152],"$\\frac{\\text{GFT}_{\\text{FB}}}{\\text{GFT}_{\\text{RO}}}$":[118],"bounded":[120],"$2$,":[122,142],"recent":[123],"work":[124],"provided":[125],"counterexamples":[126],"this":[128,156],"conjecture:":[129],"Cai":[130],"et":[131,145],"al.":[132,146],"proved":[133],"strictly":[139],"larger":[140],"than":[141,208],"Babaioff":[144],"exhibited":[147],"an":[148,161,181],"explicit":[149],"example":[150],"with":[151],"approximately":[153],"$2.02$.":[154],"In":[155],"work,":[157],"we":[158],"employ":[159],"AlphaEvolve,":[160],"AI-guided":[162],"evolutionary":[163],"search":[164],"framework,":[165],"explore":[167],"space":[169],"value":[171],"distributions.":[172],"We":[173],"identify":[174],"new":[176,192],"instance":[178],"yields":[180],"improved":[182],"lower":[183,193],"bound":[184,194],"$\\frac{\\text{GFT}_{\\text{FB}}}{\\text{GFT}_{\\text{RO}}}":[186],"\\ge":[187],"\\textbf{2.0749}$.":[188],"on":[195],"mechanism,":[202],"demonstrating":[203],"wider":[205],"efficiency":[206],"gap":[207],"previously":[209],"known.":[210]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2026-03-11T00:00:00"}
