{"id":"https://openalex.org/W2952385416","doi":"https://doi.org/10.1145/3328526.3329575","title":"Optimal Pricing in Markets with Non-Convex Costs","display_name":"Optimal Pricing in Markets with Non-Convex Costs","publication_year":2019,"publication_date":"2019-06-17","ids":{"openalex":"https://openalex.org/W2952385416","doi":"https://doi.org/10.1145/3328526.3329575","mag":"2952385416"},"language":"en","primary_location":{"id":"doi:10.1145/3328526.3329575","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3328526.3329575","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3328526.3329575","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3328526.3329575","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005748450","display_name":"Navid Azizan","orcid":"https://orcid.org/0000-0002-4299-2963"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Navid Azizan","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074556801","display_name":"Yu T. Su","orcid":"https://orcid.org/0000-0002-2026-2994"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu Su","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050954769","display_name":"Krishnamurthy Dvijotham","orcid":"https://orcid.org/0000-0002-1328-4677"},"institutions":[{"id":"https://openalex.org/I4210113297","display_name":"Google (United Kingdom)","ror":"https://ror.org/024bc3e07","country_code":"GB","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210113297","https://openalex.org/I4210128969"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Krishnamurthy Dvijotham","raw_affiliation_strings":["Google Deepmind, London, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Google Deepmind, London, United Kingdom","institution_ids":["https://openalex.org/I4210113297"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062565732","display_name":"Adam Wierman","orcid":"https://orcid.org/0000-0002-5923-0199"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adam Wierman","raw_affiliation_strings":["California Institute of Technology, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005748450"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":1.3312,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.81141766,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"595","last_page":"595"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9848999977111816,"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/T12288","display_name":"Optimization and Search Problems","score":0.9384999871253967,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6278905868530273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5099447965621948},{"id":"https://openalex.org/keywords/profit","display_name":"Profit (economics)","score":0.49605855345726013},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.48740771412849426},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.45855778455734253},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44495996832847595},{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.4407894015312195},{"id":"https://openalex.org/keywords/dynamic-pricing","display_name":"Dynamic pricing","score":0.42680495977401733},{"id":"https://openalex.org/keywords/purchasing","display_name":"Purchasing","score":0.42491084337234497},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.34464871883392334},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3102017939090729},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2969432473182678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18259310722351074},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.09806942939758301}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6278905868530273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5099447965621948},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.49605855345726013},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.48740771412849426},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.45855778455734253},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44495996832847595},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.4407894015312195},{"id":"https://openalex.org/C2779391423","wikidata":"https://www.wikidata.org/wiki/Q17009728","display_name":"Dynamic pricing","level":2,"score":0.42680495977401733},{"id":"https://openalex.org/C2778813691","wikidata":"https://www.wikidata.org/wiki/Q1369832","display_name":"Purchasing","level":2,"score":0.42491084337234497},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.34464871883392334},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3102017939090729},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2969432473182678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18259310722351074},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.09806942939758301},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3328526.3329575","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3328526.3329575","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3328526.3329575","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 ACM Conference on Economics and Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:96699","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20190625-114233447","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":{"id":"doi:10.1145/3328526.3329575","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3328526.3329575","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3328526.3329575","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 ACM Conference on Economics and Computation","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3248864397","display_name":null,"funder_award_id":"EPAS-1307794, CPS-154471, NeTS-1518941, and AitF-1637598","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2952385416.pdf","grobid_xml":"https://content.openalex.org/works/W2952385416.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2756132392","https://openalex.org/W3035814349","https://openalex.org/W4285101096","https://openalex.org/W4382725876","https://openalex.org/W2084892497","https://openalex.org/W2115614142","https://openalex.org/W4320477335","https://openalex.org/W1561889708","https://openalex.org/W2275184629","https://openalex.org/W2138044000"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,12,17,25,43,115,207],"market":[3,138],"run":[4],"by":[5,19],"an":[6,64,188],"operator":[7,35],"who":[8],"seeks":[9],"to":[10,53,70,74,80,90,126,179,184,220,227],"satisfy":[11],"given":[13],"consumer":[14],"demand":[15],"for":[16,46,56,99,172,211],"commodity":[18],"purchasing":[20],"the":[21,37,51,92,112,156,163,169,174,181,186,191,213,221,228],"needed":[22],"amount":[23],"from":[24,155],"group":[26],"of":[27,108,114,151,195,223,230],"competing":[28],"suppliers":[29],"with":[30],"non-convex":[31,128,199],"cost":[32,39],"functions.":[33,94],"The":[34,85,105,149],"knows":[36],"suppliers'":[38],"functions":[40],"and":[41,136,142,198],"announces":[42],"price/payment":[44],"function":[45],"each":[47],"supplier,":[48],"which":[49,123],"determines":[50],"payment":[52],"that":[54,158],"supplier":[55,61],"producing":[57],"different":[58],"quantities.":[59],"Each":[60],"then":[62],"makes":[63],"individual":[65],"decision":[66],"about":[67],"how":[68,89],"much":[69],"produce":[71],"(and":[72],"whether":[73],"participate":[75],"at":[76],"all),":[77],"in":[78,168,203,237],"order":[79],"maximize":[81],"its":[82],"own":[83],"profit.":[84],"key":[86],"question":[87],"is":[88,97,111,124],"design":[91],"price":[93,134],"This":[95],"problem":[96,171,193],"relevant":[98],"many":[100],"applications,":[101],"including":[102],"electricity":[103],"markets.":[104],"main":[106],"contribution":[107],"this":[109,152],"paper":[110],"introduction":[113],"new":[116],"pricing":[117],"scheme,":[118],"\\name":[119],"(\\acr":[120],")":[121],"pricing,":[122],"applicable":[125],"general":[127,132],"costs,":[129],"allows":[130],"using":[131],"parametric":[133],"functions,":[135],"guarantees":[137],"clearing,":[139],"revenue":[140],"adequacy,":[141],"ecomonic":[143],"efficiency":[144],"while":[145],"supporting":[146],"comptitive":[147],"euqilibrium.":[148],"name":[150],"scheme":[153],"stems":[154],"fact":[157],"we":[159,205],"directly":[160],"impose":[161],"all":[162],"equilibrium":[164],"conditions":[165],"as":[166,177],"constraints":[167],"optimization":[170,192,215],"finding":[173],"best":[175,229],"allocations,":[176],"opposed":[178],"adjusting":[180],"prices":[182],"later":[183],"make":[185],"allocations":[187],"equilibrium.":[189],"While":[190],"is,":[194],"course,":[196],"non-convex,":[197],"problems":[200],"are":[201],"intractable":[202],"general,":[204],"present":[206],"tractable":[208],"approximation":[209],"algorithm":[210],"solving":[212],"proposed":[214],"problem.":[216],"Our":[217],"framework":[218],"extends":[219],"case":[222],"networked":[224],"markets,":[225],"which,":[226],"our":[231],"knowledge,":[232],"has":[233],"not":[234],"been":[235],"considered":[236],"previous":[238],"work.":[239]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}