{"id":"https://openalex.org/W4415428008","doi":"https://doi.org/10.3233/faia251262","title":"Adaptive Pricing and Learning in the Multi-Market Routing Problem","display_name":"Adaptive Pricing and Learning in the Multi-Market Routing Problem","publication_year":2025,"publication_date":"2025-10-21","ids":{"openalex":"https://openalex.org/W4415428008","doi":"https://doi.org/10.3233/faia251262"},"language":"en","primary_location":{"id":"doi:10.3233/faia251262","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia251262","pdf_url":null,"source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.3233/faia251262","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120092113","display_name":"Behrad Koohy","orcid":"https://orcid.org/0000-0002-8115-2887"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Behrad Koohy","raw_affiliation_strings":["Southampton University, Southampton, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-8115-2887","affiliations":[{"raw_affiliation_string":"Southampton University, Southampton, United Kingdom","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088583778","display_name":"Vahid Yazdanpanah","orcid":"https://orcid.org/0000-0002-4468-6193"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Vahid Yazdanpanah","raw_affiliation_strings":["Southampton University, Southampton, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-4468-6193","affiliations":[{"raw_affiliation_string":"Southampton University, Southampton, United Kingdom","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011370879","display_name":"Sebastian Stein","orcid":"https://orcid.org/0000-0003-2858-8857"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sebastian Stein","raw_affiliation_strings":["Southampton University, Southampton, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0003-2858-8857","affiliations":[{"raw_affiliation_string":"Southampton University, Southampton, United Kingdom","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040869025","display_name":"Enrico Gerding","orcid":"https://orcid.org/0000-0001-7200-552X"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Enrico Gerding","raw_affiliation_strings":["Southampton University, Southampton, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0001-7200-552X","affiliations":[{"raw_affiliation_string":"Southampton University, Southampton, United Kingdom","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I43439940"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.61343386,"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/T12288","display_name":"Optimization and Search Problems","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9721999764442444,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11182","display_name":"Auction Theory and Applications","score":0.9472000002861023,"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/toll","display_name":"Toll","score":0.7462000250816345},{"id":"https://openalex.org/keywords/dynamic-pricing","display_name":"Dynamic pricing","score":0.5006999969482422},{"id":"https://openalex.org/keywords/profit","display_name":"Profit (economics)","score":0.41589999198913574},{"id":"https://openalex.org/keywords/profitability-index","display_name":"Profitability index","score":0.4138999879360199},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.39809998869895935},{"id":"https://openalex.org/keywords/traffic-congestion","display_name":"Traffic congestion","score":0.3718000054359436},{"id":"https://openalex.org/keywords/intelligent-transportation-system","display_name":"Intelligent transportation system","score":0.3693000078201294},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.35120001435279846}],"concepts":[{"id":"https://openalex.org/C2778025104","wikidata":"https://www.wikidata.org/wiki/Q408004","display_name":"Toll","level":2,"score":0.7462000250816345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6218000054359436},{"id":"https://openalex.org/C2779391423","wikidata":"https://www.wikidata.org/wiki/Q17009728","display_name":"Dynamic pricing","level":2,"score":0.5006999969482422},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.41589999198913574},{"id":"https://openalex.org/C129361004","wikidata":"https://www.wikidata.org/wiki/Q2470236","display_name":"Profitability index","level":2,"score":0.4138999879360199},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.39809998869895935},{"id":"https://openalex.org/C2779888511","wikidata":"https://www.wikidata.org/wiki/Q244156","display_name":"Traffic congestion","level":2,"score":0.3718000054359436},{"id":"https://openalex.org/C47796450","wikidata":"https://www.wikidata.org/wiki/Q508378","display_name":"Intelligent transportation system","level":2,"score":0.3693000078201294},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.35920000076293945},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.35120001435279846},{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.34060001373291016},{"id":"https://openalex.org/C8007445","wikidata":"https://www.wikidata.org/wiki/Q13743387","display_name":"Congestion pricing","level":3,"score":0.32519999146461487},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C24856439","wikidata":"https://www.wikidata.org/wiki/Q352483","display_name":"Adaptive routing","level":5,"score":0.29490000009536743},{"id":"https://openalex.org/C2780193402","wikidata":"https://www.wikidata.org/wiki/Q3394670","display_name":"Pricing strategies","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.2816999852657318},{"id":"https://openalex.org/C2777718309","wikidata":"https://www.wikidata.org/wiki/Q2739432","display_name":"Road pricing","level":3,"score":0.28029999136924744},{"id":"https://openalex.org/C110875604","wikidata":"https://www.wikidata.org/wiki/Q75","display_name":"The Internet","level":2,"score":0.27880001068115234},{"id":"https://openalex.org/C204948658","wikidata":"https://www.wikidata.org/wiki/Q1119410","display_name":"Static routing","level":4,"score":0.2711000144481659},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.2678999900817871},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.26750001311302185}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/faia251262","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia251262","pdf_url":null,"source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},{"id":"pmh:oai:eprints.soton.ac.uk:504221","is_oa":true,"landing_page_url":"http://doi.org/10.3233/FAIA251262>).","pdf_url":"https://eprints.soton.ac.uk/504221/1/m8032.pdf","source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference or Workshop Item"}],"best_oa_location":{"id":"doi:10.3233/faia251262","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia251262","pdf_url":null,"source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"modern":[1,195],"urban":[2,196],"transportation":[3,21,53,78,172,178,197],"networks,":[4],"multiple":[5],"self-interested":[6],"travel":[7,84,163],"providers":[8],"(public":[9],"transit,":[10],"micromobility":[11],"providers,":[12],"ride-sharing":[13],"platforms":[14],"and":[15,28,76,86,99,111,121,136,154,165,168,174,183],"toll":[16],"roads)":[17],"compete":[18],"for":[19,106,119,171,177,190],"heterogenous":[20],"users":[22,79],"that":[23],"wish":[24],"to":[25,73,81,102,124,157],"balance":[26],"time":[27,85],"cost.":[29,87],"Traditional":[30],"congestion":[31,97],"models":[32],"assume":[33],"fixed,":[34],"exogenous":[35],"costs,":[36],"while":[37],"dynamic-pricing":[38],"frameworks":[39],"typically":[40],"focus":[41],"on":[42],"a":[43,63,152,187],"single":[44],"operator,":[45],"overlooking":[46],"the":[47,58,90,116,125,128,144,158],"rich":[48],"strategic":[49],"interplay":[50],"among":[51],"decentralised":[52,153],"providers.":[54,179],"This":[55],"paper":[56],"introduces":[57],"Multi-Market":[59],"Routing":[60],"Problem":[61],"(MMRP),":[62],"game-theoretic":[64,120],"model":[65],"in":[66,134,194],"which":[67],"each":[68],"provider":[69],"utilises":[70],"adaptive":[71,107],"pricing":[72,108],"maximise":[74],"profit":[75],"heterogeneous":[77],"aim":[80],"minimise":[82],"their":[83],"We":[88,114],"present":[89],"MMRP":[91,181],"as":[92,151],"an":[93],"extension":[94],"of":[95,131,146],"traditional":[96],"games,":[98],"extend":[100],"it":[101],"consider":[103],"online":[104,159],"instances":[105],"under":[109],"dynamic":[110,135],"stochastic":[112],"congestion.":[113],"demonstrate":[115],"computational":[117,129],"complexity":[118,130],"exact":[122],"solutions":[123],"MMRP,":[126,160],"reflecting":[127],"coordinating":[132],"routing":[133,193],"uncertain":[137],"settings.":[138],"To":[139],"address":[140],"this,":[141],"we":[142],"propose":[143],"use":[145],"independent":[147],"Proximal":[148],"Policy":[149],"Optimisation":[150],"effective":[155],"solution":[156],"demonstrating":[161],"reduced":[162],"times":[164],"more":[166],"equitable":[167],"fair":[169],"outcomes":[170],"users,":[173],"increased":[175],"profitability":[176],"The":[180],"framework":[182],"learning":[184],"algorithms":[185],"offer":[186],"principled":[188],"foundation":[189],"competitive,":[191],"multimodal":[192],"networks.":[198]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-24T00:00:00"}