{"id":"https://openalex.org/W2424552692","doi":"https://doi.org/10.1109/tac.2018.2797199","title":"Dynamic Collective Choice: Social Optima","display_name":"Dynamic Collective Choice: Social Optima","publication_year":2018,"publication_date":"2018-01-23","ids":{"openalex":"https://openalex.org/W2424552692","doi":"https://doi.org/10.1109/tac.2018.2797199","mag":"2424552692"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2797199","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2797199","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1606.05272","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056868351","display_name":"Rabih Salhab","orcid":"https://orcid.org/0000-0002-3332-1308"},"institutions":[{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Rabih Salhab","raw_affiliation_strings":["department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada","Department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"Department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012980200","display_name":"J\u00e9r\u00f4me Le Ny","orcid":"https://orcid.org/0000-0002-3417-4135"},"institutions":[{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jerome Le Ny","raw_affiliation_strings":["department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada","Department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"Department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071517656","display_name":"Roland P. Malham\u00e9","orcid":"https://orcid.org/0000-0002-2809-0891"},"institutions":[{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Roland P. Malhame","raw_affiliation_strings":["department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada","Department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]},{"raw_affiliation_string":"Department of Electrical Engineering, Polytechnique Montreal and GERAD, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056868351"],"corresponding_institution_ids":["https://openalex.org/I4210133247","https://openalex.org/I45683168"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00371381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"63","issue":"10","first_page":"3487","last_page":"3494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10841","display_name":"Economic and Environmental Valuation","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10841","display_name":"Economic and Environmental Valuation","score":0.9983999729156494,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11942","display_name":"Transportation and Mobility Innovations","score":0.9700999855995178,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5888487100601196},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5760443210601807},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.569951057434082},{"id":"https://openalex.org/keywords/disadvantaged","display_name":"Disadvantaged","score":0.5216805934906006},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.47319433093070984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46308451890945435},{"id":"https://openalex.org/keywords/swarm-behaviour","display_name":"Swarm behaviour","score":0.4350413382053375},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4319009780883789},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.424716055393219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3487454056739807},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.3418266177177429},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2814721465110779}],"concepts":[{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5888487100601196},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5760443210601807},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.569951057434082},{"id":"https://openalex.org/C2780623907","wikidata":"https://www.wikidata.org/wiki/Q106394435","display_name":"Disadvantaged","level":2,"score":0.5216805934906006},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.47319433093070984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46308451890945435},{"id":"https://openalex.org/C181335050","wikidata":"https://www.wikidata.org/wiki/Q14915018","display_name":"Swarm behaviour","level":2,"score":0.4350413382053375},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4319009780883789},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.424716055393219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3487454056739807},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3418266177177429},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2814721465110779},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tac.2018.2797199","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2797199","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:64088","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"NonPeerReviewed"},{"id":"pmh:oai:arXiv.org:1606.05272","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1606.05272","pdf_url":"https://arxiv.org/pdf/1606.05272","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2424552692","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1606.05272.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:publications.polymtl.ca:39336","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/39336/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"doi:10.48550/arxiv.1606.05272","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1606.05272","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1606.05272","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1606.05272","pdf_url":"https://arxiv.org/pdf/1606.05272","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.550000011920929}],"awards":[{"id":"https://openalex.org/G4954416026","display_name":null,"funder_award_id":"6820-2011","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G6255718556","display_name":null,"funder_award_id":"6820_2011","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G7732082524","display_name":null,"funder_award_id":"435905-13","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2424552692.pdf","grobid_xml":"https://content.openalex.org/works/W2424552692.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W39337161","https://openalex.org/W585548487","https://openalex.org/W1522531528","https://openalex.org/W1550812296","https://openalex.org/W1576577548","https://openalex.org/W1788292158","https://openalex.org/W1983321045","https://openalex.org/W1991940388","https://openalex.org/W2011000015","https://openalex.org/W2028316825","https://openalex.org/W2038686546","https://openalex.org/W2048648163","https://openalex.org/W2050326303","https://openalex.org/W2057470999","https://openalex.org/W2069898476","https://openalex.org/W2086091060","https://openalex.org/W2097730910","https://openalex.org/W2108765649","https://openalex.org/W2132511141","https://openalex.org/W2138966161","https://openalex.org/W2145212723","https://openalex.org/W2952539045","https://openalex.org/W4244096180","https://openalex.org/W6633117799","https://openalex.org/W6703290608","https://openalex.org/W6717609262"],"related_works":["https://openalex.org/W1562291009","https://openalex.org/W147351177","https://openalex.org/W2059500611","https://openalex.org/W2232508350","https://openalex.org/W3033139707","https://openalex.org/W2952142500","https://openalex.org/W1600860025","https://openalex.org/W3000479055","https://openalex.org/W2024575569","https://openalex.org/W1849256435","https://openalex.org/W2182451510","https://openalex.org/W2602850664","https://openalex.org/W2321892545","https://openalex.org/W2953472749","https://openalex.org/W785990263","https://openalex.org/W2566173173","https://openalex.org/W2022037572","https://openalex.org/W2061293693","https://openalex.org/W2511605829","https://openalex.org/W2952265328"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,8,31,35,38,66,75,102,113,127],"dynamic":[3],"collective":[4,222],"choice":[5],"problem":[6,71,194],"where":[7],"large":[9],"number":[10,138,153],"of":[11,25,77,90,104,112,132,139,151,154,188,202,214],"agents":[12,120,215],"are":[13],"cooperatively":[14],"choosing":[15],"between":[16,44],"multiple":[17,45,217],"destinations":[18,218],"while":[19],"being":[20],"influenced":[21],"by":[22,142],"the":[23,26,51,88,91,97,109,117,122,137,152,157,162,171,185,189,200],"behavior":[24],"group.":[27],"For":[28],"example,":[29],"in":[30,209],"robotic":[32],"swarm":[33],"exploring":[34],"new":[36],"environment,":[37],"robot":[39],"might":[40],"have":[41],"to":[42,47,58,61,73,125,136,179,206],"choose":[43],"sites":[46],"visit,":[48],"but":[49],"at":[50],"same":[52],"time":[53],"it":[54],"should":[55],"remain":[56],"close":[57],"some":[59],"group":[60],"achieve":[62],"coordinated":[63],"tasks.":[64],"Finding":[65],"social":[67,173],"optimum":[68],"for":[69],"our":[70],"reduces":[72,124],"solving":[74,126],"set":[76,103],"linear":[78],"quadratic":[79],"regulator":[80,148],"problems,":[81],"whose":[82],"number,":[83],"however,":[84],"increases":[85],"exponentially":[86],"with":[87],"size":[89,133],"population.":[92],"Alternatively,":[93],"we":[94],"develop":[95],"via":[96,108],"mean":[98],"field":[99],"games":[100],"methodology":[101],"decentralized":[105],"strategies":[106,163,204],"characterized":[107],"fixed":[110,129],"points":[111],"suitable":[114],"operator.":[115],"In":[116],"homogeneous":[118],"parameter":[119],"case,":[121],"procedure":[123],"vector":[128],"point":[130],"equation":[131],"l":[134,147],"equal":[135],"destinations,":[140],"followed":[141],"each":[143,175,220],"agent":[144,176],"comparing":[145],"only":[146,177],"costs,":[149],"independently":[150],"agents.":[155],"When":[156],"latter":[158],"is":[159],"sufficiently":[160],"large,":[161],"qualify":[164],"as":[165],"approximately":[166],"socially":[167],"optimal.":[168],"To":[169],"compute":[170],"approximate":[172],"optimum,":[174],"needs":[178],"know":[180],"its":[181],"own":[182],"state":[183],"and":[184,193],"statistical":[186],"distributions":[187],"agents'":[190],"initial":[191],"states":[192],"parameters.":[195],"A":[196],"numerical":[197],"example":[198],"illustrates":[199],"benefits":[201],"cooperative":[203],"compared":[205],"noncooperative":[207],"ones":[208],"achieving":[210],"an":[211],"adequate":[212],"splitting":[213],"among":[216],"that":[219],"require":[221],"attention.":[223]},"counts_by_year":[],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
