{"id":"https://openalex.org/W2018079524","doi":"https://doi.org/10.1109/cdc.2012.6425845","title":"Equilibrium price distributions in energy markets with shiftable demand","display_name":"Equilibrium price distributions in energy markets with shiftable demand","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2018079524","doi":"https://doi.org/10.1109/cdc.2012.6425845","mag":"2018079524"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6425845","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6425845","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058663513","display_name":"Donatello Materassi","orcid":"https://orcid.org/0000-0002-4736-8377"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Donatello Materassi","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, USA","Laboratory for Information and Decision Systems, Massachusetts Inst. of Tech., USA"],"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Inst. of Tech., USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086502993","display_name":"Mardavij Roozbehani","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mardavij Roozbehani","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, USA","Laboratory for Information and Decision Systems, Massachusetts Inst. of Tech., USA"],"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Inst. of Tech., USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026064656","display_name":"Munther A. Dahleh","orcid":"https://orcid.org/0000-0002-1470-2148"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Munther A. Dahleh","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, USA","Laboratory for Information and Decision Systems, Massachusetts Inst. of Tech., USA"],"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Inst. of Tech., USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058663513"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.982,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77784481,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3183","last_page":"3188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9997000098228455,"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":0.9997000098228455,"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/T10424","display_name":"Electric Power System Optimization","score":0.9937999844551086,"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/T11954","display_name":"Energy Efficiency and Management","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.5998990535736084},{"id":"https://openalex.org/keywords/reservation-price","display_name":"Reservation price","score":0.5116689205169678},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.49829888343811035},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.48311448097229004},{"id":"https://openalex.org/keywords/limit-price","display_name":"Limit price","score":0.46477988362312317},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.4596627950668335},{"id":"https://openalex.org/keywords/factor-price","display_name":"Factor price","score":0.4587228298187256},{"id":"https://openalex.org/keywords/market-price","display_name":"Market price","score":0.44530433416366577},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4280872344970703},{"id":"https://openalex.org/keywords/consumption","display_name":"Consumption (sociology)","score":0.42787009477615356},{"id":"https://openalex.org/keywords/price-level","display_name":"Price level","score":0.4222182333469391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12003085017204285},{"id":"https://openalex.org/keywords/monetary-economics","display_name":"Monetary economics","score":0.09984636306762695}],"concepts":[{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.5998990535736084},{"id":"https://openalex.org/C70295763","wikidata":"https://www.wikidata.org/wiki/Q474606","display_name":"Reservation price","level":2,"score":0.5116689205169678},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.49829888343811035},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.48311448097229004},{"id":"https://openalex.org/C134864226","wikidata":"https://www.wikidata.org/wiki/Q1545824","display_name":"Limit price","level":3,"score":0.46477988362312317},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4596627950668335},{"id":"https://openalex.org/C45622825","wikidata":"https://www.wikidata.org/wiki/Q546778","display_name":"Factor price","level":2,"score":0.4587228298187256},{"id":"https://openalex.org/C64112148","wikidata":"https://www.wikidata.org/wiki/Q160151","display_name":"Market price","level":2,"score":0.44530433416366577},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4280872344970703},{"id":"https://openalex.org/C30772137","wikidata":"https://www.wikidata.org/wiki/Q5164762","display_name":"Consumption (sociology)","level":2,"score":0.42787009477615356},{"id":"https://openalex.org/C34881761","wikidata":"https://www.wikidata.org/wiki/Q1936341","display_name":"Price level","level":2,"score":0.4222182333469391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12003085017204285},{"id":"https://openalex.org/C556758197","wikidata":"https://www.wikidata.org/wiki/Q580018","display_name":"Monetary economics","level":1,"score":0.09984636306762695},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2012.6425845","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6425845","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8100000023841858,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309015","display_name":"Charles Stark Draper Laboratory","ror":"https://ror.org/04378d909"},{"id":"https://openalex.org/F4320322923","display_name":"Siemens","ror":"https://ror.org/059mq0909"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1994293339","https://openalex.org/W1999688255","https://openalex.org/W2098432798","https://openalex.org/W2138000876"],"related_works":["https://openalex.org/W2030168168","https://openalex.org/W2365361495","https://openalex.org/W2359374517","https://openalex.org/W3141129973","https://openalex.org/W3125926912","https://openalex.org/W2374547868","https://openalex.org/W2599662675","https://openalex.org/W2532801642","https://openalex.org/W1909096983","https://openalex.org/W2047851078"],"abstract_inverted_index":{"The":[0,73,153,172],"paper":[1,181],"examines":[2],"existence":[3],"of":[4,121,137,162,184,186,217,220,227,266,269,282],"equilibrium":[5,248],"price":[6,41,55,85,105,131,170,190,201,242,256],"distributions":[7],"in":[8,34,61,127,179],"energy":[9],"markets":[10],"with":[11,16,262],"real-time":[12],"pricing":[13,280],"and":[14,39,57,100,149,166,192,276],"consumers":[15,122,140,158,270],"time-flexible":[17,28],"demands.":[18],"Previous":[19],"works":[20],"have":[21,142],"examined":[22],"consumer":[23,79,111],"optimal":[24,67],"policies":[25,126],"for":[26],"shifting":[27],"loads":[29],"up":[30],"to":[31,36,97,113,129,146,177],"a":[32,70,78,88,118,225],"deadline,":[33],"response":[35,155],"an":[37,114,218],"exogenous":[38],"stochastic":[40,54],"process.":[42,106,171],"It":[43,196,229],"is":[44,69,182,197,206,230,259],"shown":[45,231],"here":[46],"that":[47,77,174,183,199,232,258],"under":[48,233],"some":[49],"mild":[50],"assumptions":[51,187,236],"on":[52,93,103,188,214,237],"the":[53,58,62,64,84,94,101,104,130,157,160,163,169,189,193,200,209,215,221,238,241,263,267,277,283],"process":[56,191,257],"information":[59,102,151],"structure":[60],"market,":[63,165],"individual":[65,110],"consumer's":[66],"policy":[68,75],"threshold":[71,74,90,125,274],"policy.":[72],"indicates":[76],"will":[80],"consume":[81],"only":[82],"when":[83],"falls":[86],"below":[87],"certain":[89],"which":[91],"depends":[92],"time":[95,204],"left":[96],"his":[98],"deadline":[99],"This":[107],"behavior":[108,116,265],"by":[109,117,208],"leads":[112],"aggregate":[115,154,268],"large":[119],"number":[120],"who":[123,271],"implement":[124,273],"reaction":[128],"process;":[132],"although":[133],"at":[134,202,245,253],"each":[135,203],"instant":[136],"time,":[138],"different":[139,143,147,150],"may":[141],"thresholds":[144],"due":[145],"deadlines":[148],"assumptions.":[152],"from":[156],"determines":[159],"state":[161],"wholesale":[164],"thus,":[167],"affects":[168],"question":[173],"we":[175],"intend":[176],"answer":[178],"this":[180],"consistency":[185],"market":[194],"outcomes.":[195],"assumed":[198],"interval":[205],"determined":[207],"Independent":[210],"Service":[211],"Operator":[212],"(ISO)":[213],"basis":[216],"estimate":[219],"global":[222],"consumption":[223,264],"as":[224],"function":[226],"price.":[228],"technical":[234],"regularity":[235],"model":[239],"components,":[240],"distribution":[243],"has":[244],"least":[246,254],"one":[247,255],"point.":[249],"Thus,":[250],"there":[251],"exists":[252],"consistent":[260],"both":[261],"individually":[272],"policies,":[275],"marginal":[278],"cost":[279],"mechanism":[281],"ISO.":[284]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}