{"id":"https://openalex.org/W4392650593","doi":"https://doi.org/10.1007/s10287-024-00502-5","title":"Notes on random optimal control equilibrium problem via stochastic inverse variational inequalities","display_name":"Notes on random optimal control equilibrium problem via stochastic inverse variational inequalities","publication_year":2024,"publication_date":"2024-03-11","ids":{"openalex":"https://openalex.org/W4392650593","doi":"https://doi.org/10.1007/s10287-024-00502-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10287-024-00502-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10287-024-00502-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10287-024-00502-5.pdf","source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Management Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10287-024-00502-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110882714","display_name":"Annamaria Barbagallo","orcid":null},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Annamaria Barbagallo","raw_affiliation_strings":["Department of Mathematics and Applications \u201cR. Caccioppoli\u201d, University of Naples Federico II, Complesso Universitario Monte Sant\u2019Angelo, via Cintia, 80126, Naples, Italy","Department of Mathematics and Applications \"R. Caccioppoli\", University of Naples Federico II, Complesso Universitario Monte Sant'Angelo, via Cintia, 80126, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applications \u201cR. Caccioppoli\u201d, University of Naples Federico II, Complesso Universitario Monte Sant\u2019Angelo, via Cintia, 80126, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Mathematics and Applications \"R. Caccioppoli\", University of Naples Federico II, Complesso Universitario Monte Sant'Angelo, via Cintia, 80126, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029322977","display_name":"Bruno Antonio Pansera","orcid":"https://orcid.org/0000-0001-9370-7643"},"institutions":[{"id":"https://openalex.org/I59725666","display_name":"University of Reggio Calabria","ror":"https://ror.org/041sz8d87","country_code":"IT","type":"education","lineage":["https://openalex.org/I59725666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Bruno Antonio Pansera","raw_affiliation_strings":["Department of Law, Economics and Human Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, Via dell\u2019Universit\u00e0 25, 89124, Reggio Calabria, Italy","Department of Law, Economics and Human Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, Via dell'Universit\u00e0 25, 89124, Reggio Calabria, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Law, Economics and Human Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, Via dell\u2019Universit\u00e0 25, 89124, Reggio Calabria, Italy","institution_ids":["https://openalex.org/I59725666"]},{"raw_affiliation_string":"Department of Law, Economics and Human Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, Via dell'Universit\u00e0 25, 89124, Reggio Calabria, Italy","institution_ids":["https://openalex.org/I59725666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002127800","display_name":"\u041c\u0430\u0441\u0441\u0438\u043c\u0438\u043b\u0438\u0430\u043d\u043e \u0424\u0435\u0440\u0440\u0430\u0440\u0430","orcid":"https://orcid.org/0000-0002-3663-836X"},"institutions":[{"id":"https://openalex.org/I96268669","display_name":"Okan University","ror":"https://ror.org/054d5vq03","country_code":"TR","type":"education","lineage":["https://openalex.org/I96268669"]},{"id":"https://openalex.org/I59725666","display_name":"University of Reggio Calabria","ror":"https://ror.org/041sz8d87","country_code":"IT","type":"education","lineage":["https://openalex.org/I59725666"]}],"countries":["IT","TR"],"is_corresponding":false,"raw_author_name":"Massimiliano Ferrara","raw_affiliation_strings":["Advanced Soft Computing Lab, Faculty of Engineering and Natural Sciences, Istanbul OKAN University, Istanbul, Turkey","Department of Law, Economics and Human Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, Via dell\u2019Universit\u00e0 25, 89124, Reggio Calabria, Italy","Department of Law, Economics and Human Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, Via dell'Universit\u00e0 25, 89124, Reggio Calabria, Italy"],"affiliations":[{"raw_affiliation_string":"Advanced Soft Computing Lab, Faculty of Engineering and Natural Sciences, Istanbul OKAN University, Istanbul, Turkey","institution_ids":["https://openalex.org/I96268669"]},{"raw_affiliation_string":"Department of Law, Economics and Human Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, Via dell\u2019Universit\u00e0 25, 89124, Reggio Calabria, Italy","institution_ids":["https://openalex.org/I59725666"]},{"raw_affiliation_string":"Department of Law, Economics and Human Sciences & Decisions_lab, University Mediterranea of Reggio Calabria, Via dell'Universit\u00e0 25, 89124, Reggio Calabria, Italy","institution_ids":["https://openalex.org/I59725666"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110882714"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.7608,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7078412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"21","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/variational-inequality","display_name":"Variational inequality","score":0.735916018486023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5905963182449341},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5676091909408569},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5565871596336365},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5455749034881592},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5305512547492981},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.49510589241981506},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.48430052399635315},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.4734703600406647},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4262320399284363},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.41900381445884705},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.4111124873161316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30435556173324585},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1079322099685669},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07326501607894897}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.735916018486023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5905963182449341},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5676091909408569},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5565871596336365},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5455749034881592},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5305512547492981},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.49510589241981506},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.48430052399635315},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.4734703600406647},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4262320399284363},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.41900381445884705},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.4111124873161316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30435556173324585},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1079322099685669},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07326501607894897},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10287-024-00502-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10287-024-00502-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10287-024-00502-5.pdf","source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Management Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:comgts:v:21:y:2024:i:1:d:10.1007_s10287-024-00502-5","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10287-024-00502-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":{"id":"doi:10.1007/s10287-024-00502-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10287-024-00502-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10287-024-00502-5.pdf","source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Management Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309590","display_name":"Universit\u00e0 degli Studi di Napoli Federico II","ror":"https://ror.org/05290cv24"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4392650593.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W154611226","https://openalex.org/W1487404723","https://openalex.org/W1543439990","https://openalex.org/W1970295633","https://openalex.org/W1970916722","https://openalex.org/W1971140856","https://openalex.org/W1976674821","https://openalex.org/W1983777906","https://openalex.org/W1994616650","https://openalex.org/W1996723413","https://openalex.org/W2008796819","https://openalex.org/W2012573895","https://openalex.org/W2039369805","https://openalex.org/W2040568274","https://openalex.org/W2057652230","https://openalex.org/W2067050450","https://openalex.org/W2080992356","https://openalex.org/W2091185799","https://openalex.org/W2124181538","https://openalex.org/W2129703683","https://openalex.org/W2147301487","https://openalex.org/W2157478158","https://openalex.org/W2165543081","https://openalex.org/W2295489065","https://openalex.org/W2323954199","https://openalex.org/W2950866122","https://openalex.org/W3101497372","https://openalex.org/W3206125641","https://openalex.org/W4200368386","https://openalex.org/W4229077062","https://openalex.org/W4234761190","https://openalex.org/W4298358184","https://openalex.org/W4312118940"],"related_works":["https://openalex.org/W2943897807","https://openalex.org/W2066996885","https://openalex.org/W3120484221","https://openalex.org/W4366198066","https://openalex.org/W3047748938","https://openalex.org/W2358522863","https://openalex.org/W4386034604","https://openalex.org/W278441094","https://openalex.org/W3099285423","https://openalex.org/W4381248241"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"main":[2],"objective":[3],"of":[4],"the":[5,13,30],"paper":[6],"is":[7,35,58],"to":[8],"analyze":[9],"how":[10],"policymakers":[11],"influence":[12],"random":[14,22,31],"oligopolistic":[15],"market":[16],"equilibrium":[17,25],"problem.":[18],"To":[19],"this":[20],"purpose,":[21],"optimal":[23,32],"control":[24],"conditions":[26],"are":[27,51],"introduced.":[28],"Since":[29],"regulatory":[33],"tax":[34],"characterized":[36],"by":[37],"a":[38,55],"stochastic":[39],"inverse":[40],"variational":[41],"inequality,":[42],"existence":[43],"and":[44],"well-posedness":[45],"results":[46],"on":[47],"such":[48],"an":[49],"inequality":[50],"proved.":[52],"At":[53],"last":[54],"numerical":[56],"example":[57],"discussed.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
