{"id":"https://openalex.org/W7202286281","doi":"https://doi.org/10.48550/arxiv.2608.10526","title":"Coordinating the Unknown Lipschitz Constant in Multiplayer Bandits","display_name":"Coordinating the Unknown Lipschitz Constant in Multiplayer Bandits","publication_year":2026,"publication_date":"2026-08-11","ids":{"openalex":"https://openalex.org/W7202286281","doi":"https://doi.org/10.48550/arxiv.2608.10526"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.10526","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.10526","pdf_url":"https://arxiv.org/pdf/2608.10526","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/2608.10526","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114484349","display_name":"Ricardo Parada","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Parada, Ricardo","raw_affiliation_strings":["University of California , Riverside Riverside , CA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California , Riverside Riverside , CA , USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056598344","display_name":"Chenzhang Zhao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhao, Chenzhang","raw_affiliation_strings":["University of California , Los Angeles Los Angeles , CA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California , Los Angeles Los Angeles , CA , USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5146959106","display_name":"William Chang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chang, William","raw_affiliation_strings":["University of California , Los Angeles Los Angeles , CA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California , Los Angeles Los Angeles , CA , USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":1.0,"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":1.0,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-constant-estimation","display_name":"Lipschitz constant estimation","score":0.8550000190734863},{"id":"https://openalex.org/keywords/continuous-action-spaces","display_name":"continuous action spaces","score":0.8240000009536743},{"id":"https://openalex.org/keywords/decentralized-learning","display_name":"decentralized learning","score":0.7820000052452087},{"id":"https://openalex.org/keywords/regret-bounds","display_name":"regret bounds","score":0.6890000104904175},{"id":"https://openalex.org/keywords/dithered-quantization","display_name":"dithered quantization","score":0.871999979019165},{"id":"https://openalex.org/keywords/decentralized-applications","display_name":"decentralized applications","score":0.33500000834465027}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7882999777793884},{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.640999972820282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6376000046730042},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6340000033378601},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5771999955177307},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4999000132083893},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.48840001225471497},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.46869999170303345},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4162999987602234},{"id":"https://openalex.org/C70451592","wikidata":"https://www.wikidata.org/wiki/Q376493","display_name":"Dither","level":3,"score":0.4027999937534332},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3497999906539917},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.335099995136261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3199000060558319},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.30219998955726624},{"id":"https://openalex.org/C107257861","wikidata":"https://www.wikidata.org/wiki/Q656316","display_name":"Coordination game","level":2,"score":0.2831000089645386},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2791999876499176},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.27230000495910645},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.27059999108314514},{"id":"https://openalex.org/C149810388","wikidata":"https://www.wikidata.org/wiki/Q5374873","display_name":"Emulation","level":2,"score":0.25780001282691956}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.10526","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.10526","pdf_url":"https://arxiv.org/pdf/2608.10526","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.2608.10526","doi":"https://doi.org/10.48550/arxiv.2608.10526","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.10526","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.10526","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.10526","pdf_url":"https://arxiv.org/pdf/2608.10526","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/W7202286281.pdf","grobid_xml":"https://content.openalex.org/works/W7202286281.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1668488459","https://openalex.org/W2115519224","https://openalex.org/W3127906157","https://openalex.org/W4310513464","https://openalex.org/W4407988036","https://openalex.org/W4416030384"],"related_works":["https://openalex.org/W7130678378","https://openalex.org/W4416030384","https://openalex.org/W2951590424","https://openalex.org/W2028404160","https://openalex.org/W7098347999","https://openalex.org/W7099192693","https://openalex.org/W4385895798","https://openalex.org/W4320933120","https://openalex.org/W7148454716","https://openalex.org/W4407988036"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"decentralized":[2],"applications,":[3],"we":[4,44],"study":[5],"cooperative":[6,66],"multi-agent":[7],"bandits":[8],"in":[9,115,133],"continuous":[10],"(Lipschitz)":[11],"action":[12,61],"spaces":[13],"when":[14],"the":[15,52,59,70,81,89,128,134,138],"Lipschitz":[16,53],"constant":[17],"is":[18,84],"unknown.":[19],"We":[20,96],"consider":[21],"three":[22],"information":[23],"structures:":[24],"(A)~unobserved":[25],"actions":[26,31,37,106],"with":[27,32,38],"common":[28,102],"rewards,":[29,34],"(B)~observed":[30],"independent":[33,39],"and":[35,46,63,104,113],"(C)~unobserved":[36],"rewards.":[40],"In":[41],"each":[42,107],"case":[43],"design":[45],"analyze":[47],"an":[48],"algorithm":[49],"that":[50,85,101,114],"estimates":[51],"constant,":[54],"chooses":[55],"a":[56,65,124],"discretization":[57,91],"of":[58,127,137],"joint":[60],"space,":[62],"applies":[64],"bandit":[67],"method":[68],"to":[69],"induced":[71],"discrete":[72],"problem.":[73],"Players":[74],"never":[75],"communicate":[76],"once":[77],"learning":[78],"starts,":[79],"so":[80],"central":[82],"difficulty":[83],"they":[86],"must":[87],"reach":[88],"\\emph{same}":[90],"from":[92],"their":[93,116],"own":[94],"data.":[95],"prove":[97],"regret":[98],"guarantees":[99],"showing":[100],"rewards":[103],"observable":[105],"supply":[108],"this":[109],"agreement":[110,118],"for":[111],"free,":[112],"absence":[117],"can":[119],"still":[120],"be":[121],"bought,":[122],"through":[123],"dithered":[125],"quantization":[126],"estimate,":[129],"at":[130],"no":[131],"cost":[132],"leading":[135],"order":[136],"regret.":[139]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-08-13T00:00:00"}