{"id":"https://openalex.org/W4388961766","doi":"https://doi.org/10.1007/s10898-023-01341-5","title":"On inexact versions of a quasi-equilibrium problem: a Cournot duopoly perspective","display_name":"On inexact versions of a quasi-equilibrium problem: a Cournot duopoly perspective","publication_year":2023,"publication_date":"2023-11-24","ids":{"openalex":"https://openalex.org/W4388961766","doi":"https://doi.org/10.1007/s10898-023-01341-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-023-01341-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-023-01341-5","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04603515v1/file/COURNOT%20PERSPECTIVE%20ACCEPTED%20version%20for%20HAL.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008282971","display_name":"Edimilson Lopes Dias J\u00fanior","orcid":null},"institutions":[{"id":"https://openalex.org/I3121799822","display_name":"Universidade Federal do Piau\u00ed","ror":"https://ror.org/00kwnx126","country_code":"BR","type":"education","lineage":["https://openalex.org/I3121799822"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"E. L. Dias J\u00fanior","raw_affiliation_strings":["Department of Mathematics, CCN, Federal University of Piau\u00ed, Teresina, PI, 64049-550, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, CCN, Federal University of Piau\u00ed, Teresina, PI, 64049-550, Brazil","institution_ids":["https://openalex.org/I3121799822"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005733660","display_name":"Pedro Jorge S. Santos","orcid":"https://orcid.org/0000-0002-4890-4995"},"institutions":[{"id":"https://openalex.org/I4387153031","display_name":"Universidade Federal do Delta do Parna\u00edba","ror":"https://ror.org/014n7xm98","country_code":null,"type":"education","lineage":["https://openalex.org/I4387153031"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"P. J. S. Santos","raw_affiliation_strings":["Universidade Federal do Delta do Parna\u00edba, Parna\u00edba, PI, 64202-020, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-4890-4995","affiliations":[{"raw_affiliation_string":"Universidade Federal do Delta do Parna\u00edba, Parna\u00edba, PI, 64202-020, Brazil","institution_ids":["https://openalex.org/I4387153031"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064946162","display_name":"Antoine Soubeyran","orcid":"https://orcid.org/0000-0002-7277-4465"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I90669466","display_name":"\u00c9cole des hautes \u00e9tudes en sciences sociales","ror":"https://ror.org/02d9dg697","country_code":"FR","type":"facility","lineage":["https://openalex.org/I90669466"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Soubeyran","raw_affiliation_strings":["CNRS & EHESS, Aix-Marseille School of Economics, Aix-Marseille University, 13007, Marseille, France"],"raw_orcid":"https://orcid.org/0000-0002-7277-4465","affiliations":[{"raw_affiliation_string":"CNRS & EHESS, Aix-Marseille School of Economics, Aix-Marseille University, 13007, Marseille, France","institution_ids":["https://openalex.org/I90669466","https://openalex.org/I1294671590","https://openalex.org/I21491767"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009257887","display_name":"Jo\u00e3o Carlos O. Souza","orcid":"https://orcid.org/0000-0003-4053-8211"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I3121799822","display_name":"Universidade Federal do Piau\u00ed","ror":"https://ror.org/00kwnx126","country_code":"BR","type":"education","lineage":["https://openalex.org/I3121799822"]},{"id":"https://openalex.org/I90669466","display_name":"\u00c9cole des hautes \u00e9tudes en sciences sociales","ror":"https://ror.org/02d9dg697","country_code":"FR","type":"facility","lineage":["https://openalex.org/I90669466"]}],"countries":["BR","FR"],"is_corresponding":true,"raw_author_name":"J. C. O. Souza","raw_affiliation_strings":["CNRS & EHESS, Aix-Marseille School of Economics, Aix-Marseille University, France and Department of Mathematics, CCN, Federal University of Piau\u00ed, Teresina, PI, 64049-550, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-4053-8211","affiliations":[{"raw_affiliation_string":"CNRS & EHESS, Aix-Marseille School of Economics, Aix-Marseille University, France and Department of Mathematics, CCN, Federal University of Piau\u00ed, Teresina, PI, 64049-550, Brazil","institution_ids":["https://openalex.org/I90669466","https://openalex.org/I3121799822","https://openalex.org/I1294671590","https://openalex.org/I21491767"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009257887"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I3121799822","https://openalex.org/I90669466"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.7714,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76858209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"89","issue":"1","first_page":"171","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9965999722480774,"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":0.9858999848365784,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cournot-competition","display_name":"Cournot competition","score":0.9209320545196533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7056362628936768},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6443319916725159},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.601844072341919},{"id":"https://openalex.org/keywords/duopoly","display_name":"Duopoly","score":0.578650951385498},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5219330787658691},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5168293118476868},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48440247774124146},{"id":"https://openalex.org/keywords/stackelberg-competition","display_name":"Stackelberg competition","score":0.4309552013874054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1140802800655365}],"concepts":[{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.9209320545196533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7056362628936768},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6443319916725159},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.601844072341919},{"id":"https://openalex.org/C180456769","wikidata":"https://www.wikidata.org/wiki/Q750207","display_name":"Duopoly","level":3,"score":0.578650951385498},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5219330787658691},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5168293118476868},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48440247774124146},{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.4309552013874054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1140802800655365},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-023-01341-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-023-01341-5","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04603515v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04603515","pdf_url":"https://hal.science/hal-04603515v1/file/COURNOT%20PERSPECTIVE%20ACCEPTED%20version%20for%20HAL.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Global Optimization, 2023, 89 (1), pp.171-196. ⟨10.1007/s10898-023-01341-5⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:jglopt:v:89:y:2024:i:1:d:10.1007_s10898-023-01341-5","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-023-01341-5","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":"pmh:oai:HAL:hal-04603515v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04603515","pdf_url":"https://hal.science/hal-04603515v1/file/COURNOT%20PERSPECTIVE%20ACCEPTED%20version%20for%20HAL.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Global Optimization, 2023, 89 (1), pp.171-196. ⟨10.1007/s10898-023-01341-5⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2340781935","display_name":null,"funder_award_id":"424169/2018-5","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2659019386","display_name":null,"funder_award_id":"ANR-17-EURE-","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3914732244","display_name":null,"funder_award_id":"2018-5","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G4298660083","display_name":null,"funder_award_id":"ANR-17-EURE-0020","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4982461308","display_name":null,"funder_award_id":"313901/2020-1","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G6612625481","display_name":null,"funder_award_id":"France 2030","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6803667113","display_name":null,"funder_award_id":"ANR-17","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8346318987","display_name":null,"funder_award_id":"ANR-17-EURE-0020","funder_id":"https://openalex.org/F4320309911","funder_display_name":"Aix-Marseille Universit\u00e9"}],"funders":[{"id":"https://openalex.org/F4320309911","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388961766.pdf","grobid_xml":"https://content.openalex.org/works/W4388961766.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1495915592","https://openalex.org/W1959749429","https://openalex.org/W1965826098","https://openalex.org/W1982501677","https://openalex.org/W1983958212","https://openalex.org/W1990815933","https://openalex.org/W1991577178","https://openalex.org/W2003556443","https://openalex.org/W2005669112","https://openalex.org/W2007269342","https://openalex.org/W2012858598","https://openalex.org/W2014234363","https://openalex.org/W2024265476","https://openalex.org/W2037663509","https://openalex.org/W2038309222","https://openalex.org/W2038497950","https://openalex.org/W2040322280","https://openalex.org/W2041360096","https://openalex.org/W2045184230","https://openalex.org/W2052236418","https://openalex.org/W2060747729","https://openalex.org/W2062941769","https://openalex.org/W2063909813","https://openalex.org/W2065346120","https://openalex.org/W2078742969","https://openalex.org/W2098564215","https://openalex.org/W2124125796","https://openalex.org/W2131182789","https://openalex.org/W2139146655","https://openalex.org/W2149198107","https://openalex.org/W2164498579","https://openalex.org/W2165543081","https://openalex.org/W2280318059","https://openalex.org/W2317101256","https://openalex.org/W2593675399","https://openalex.org/W2612128370","https://openalex.org/W2891769296","https://openalex.org/W2902799532","https://openalex.org/W3004091590","https://openalex.org/W3023958918","https://openalex.org/W3024205498","https://openalex.org/W3046071425","https://openalex.org/W3080206672","https://openalex.org/W3092479710","https://openalex.org/W3173604896","https://openalex.org/W4205555171","https://openalex.org/W4233664785","https://openalex.org/W6633441273"],"related_works":["https://openalex.org/W2141320029","https://openalex.org/W1905304908","https://openalex.org/W4300522556","https://openalex.org/W377669739","https://openalex.org/W4233955877","https://openalex.org/W2075268106","https://openalex.org/W2225076318","https://openalex.org/W2013271236","https://openalex.org/W2378949955","https://openalex.org/W229426558"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2023-11-24T00:00:00"}