{"id":"https://openalex.org/W2148889576","doi":"https://doi.org/10.1142/s0219198906000758","title":"GLOBAL BIFURCATIONS IN DUOPOLY WHEN THE COURNOT POINT IS DESTABILIZED VIA A SUBCRITICAL NEIMARK BIFURCATION","display_name":"GLOBAL BIFURCATIONS IN DUOPOLY WHEN THE COURNOT POINT IS DESTABILIZED VIA A SUBCRITICAL NEIMARK BIFURCATION","publication_year":2006,"publication_date":"2006-03-01","ids":{"openalex":"https://openalex.org/W2148889576","doi":"https://doi.org/10.1142/s0219198906000758","mag":"2148889576"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198906000758","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198906000758","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-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/A5064343513","display_name":"Anna Agliari","orcid":"https://orcid.org/0000-0002-5230-9304"},"institutions":[{"id":"https://openalex.org/I103320735","display_name":"Universit\u00e0 Cattolica del Sacro Cuore","ror":"https://ror.org/03h7r5v07","country_code":"IT","type":"education","lineage":["https://openalex.org/I103320735"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"ANNA AGLIARI","raw_affiliation_strings":["Dip. Scienze Economiche e Sociali, Catholic University, Via Emilia Parmense, 84. Piacenza I-29100, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. Scienze Economiche e Sociali, Catholic University, Via Emilia Parmense, 84. Piacenza I-29100, Italy","institution_ids":["https://openalex.org/I103320735"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045586765","display_name":"Laura Gardini","orcid":"https://orcid.org/0000-0002-3386-6543"},"institutions":[{"id":"https://openalex.org/I190397597","display_name":"University of Urbino","ror":"https://ror.org/04q4kt073","country_code":"IT","type":"education","lineage":["https://openalex.org/I190397597"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"LAURA GARDINI","raw_affiliation_strings":["Dip. Scienze Economiche, University of Urbino \"Carlo Bo\", Urbino I-61029, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. Scienze Economiche, University of Urbino \"Carlo Bo\", Urbino I-61029, Italy","institution_ids":["https://openalex.org/I190397597"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017254481","display_name":"T\u00f6nu Puu","orcid":null},"institutions":[{"id":"https://openalex.org/I90267481","display_name":"Ume\u00e5 University","ror":"https://ror.org/05kb8h459","country_code":"SE","type":"education","lineage":["https://openalex.org/I90267481"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"TONU PUU","raw_affiliation_strings":["Dep. Economics University of Umea, Umea SE-90187, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. Economics University of Umea, Umea SE-90187, Sweden","institution_ids":["https://openalex.org/I90267481"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064343513"],"corresponding_institution_ids":["https://openalex.org/I103320735"],"apc_list":null,"apc_paid":null,"fwci":11.4055,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.9788347,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"08","issue":"01","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11043","display_name":"Merger and Competition Analysis","score":0.9628000259399414,"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/T11043","display_name":"Merger and Competition Analysis","score":0.9628000259399414,"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/T12137","display_name":"Economic theories and models","score":0.911300003528595,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cournot-competition","display_name":"Cournot competition","score":0.9608954787254333},{"id":"https://openalex.org/keywords/duopoly","display_name":"Duopoly","score":0.71943598985672},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5775696039199829},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5386042594909668},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5317895412445068},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.5287820100784302},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.49765709042549133},{"id":"https://openalex.org/keywords/bertrand-competition","display_name":"Bertrand competition","score":0.49042150378227234},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.4712831377983093},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.44097185134887695},{"id":"https://openalex.org/keywords/oligopoly","display_name":"Oligopoly","score":0.43961578607559204},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.43268972635269165},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43097391724586487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41837918758392334},{"id":"https://openalex.org/keywords/marginal-cost","display_name":"Marginal cost","score":0.4132026731967926},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.283993124961853},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.202774316072464},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19936752319335938},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1794646978378296},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1691388487815857}],"concepts":[{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.9608954787254333},{"id":"https://openalex.org/C180456769","wikidata":"https://www.wikidata.org/wiki/Q750207","display_name":"Duopoly","level":3,"score":0.71943598985672},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5775696039199829},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5386042594909668},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5317895412445068},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.5287820100784302},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.49765709042549133},{"id":"https://openalex.org/C142470991","wikidata":"https://www.wikidata.org/wiki/Q828555","display_name":"Bertrand competition","level":4,"score":0.49042150378227234},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.4712831377983093},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.44097185134887695},{"id":"https://openalex.org/C121398111","wikidata":"https://www.wikidata.org/wiki/Q103639","display_name":"Oligopoly","level":3,"score":0.43961578607559204},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.43268972635269165},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43097391724586487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41837918758392334},{"id":"https://openalex.org/C66887028","wikidata":"https://www.wikidata.org/wiki/Q382444","display_name":"Marginal cost","level":2,"score":0.4132026731967926},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.283993124961853},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.202774316072464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19936752319335938},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1794646978378296},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1691388487815857},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219198906000758","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198906000758","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:08:y:2006:i:01:n:s0219198906000758","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198906000758","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"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:08:y:2006:i:01:p:1-20","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219198906000758","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.44999998807907104}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309889","display_name":"Chuo University","ror":"https://ror.org/03qvqb743"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W208210522","https://openalex.org/W213380922","https://openalex.org/W254123233","https://openalex.org/W319744201","https://openalex.org/W330360913","https://openalex.org/W332038533","https://openalex.org/W346441490","https://openalex.org/W347659370","https://openalex.org/W387561522","https://openalex.org/W597603452","https://openalex.org/W1496674971","https://openalex.org/W1516326325","https://openalex.org/W1517682289","https://openalex.org/W1544560039","https://openalex.org/W1578819294","https://openalex.org/W1940312345","https://openalex.org/W1974520525","https://openalex.org/W2036166961","https://openalex.org/W2050920251","https://openalex.org/W2060587651","https://openalex.org/W2087840616","https://openalex.org/W2089876099","https://openalex.org/W2130178658","https://openalex.org/W2135247307","https://openalex.org/W2138726006","https://openalex.org/W2159251357","https://openalex.org/W2171168672","https://openalex.org/W2492448836","https://openalex.org/W3151538348","https://openalex.org/W4292510609"],"related_works":["https://openalex.org/W3121507373","https://openalex.org/W2534486753","https://openalex.org/W1976903731","https://openalex.org/W2109403065","https://openalex.org/W1581434147","https://openalex.org/W2318387455","https://openalex.org/W2485478695","https://openalex.org/W2564307156","https://openalex.org/W2066622833","https://openalex.org/W2098834231"],"abstract_inverted_index":{"An":[0],"adaptive":[1],"oligopoly":[2],"model,":[3],"where":[4],"the":[5,11,41,51],"demand":[6],"function":[7],"is":[8,18],"isoelastic":[9],"and":[10,44],"competitors":[12],"operate":[13],"under":[14],"constant":[15],"marginal":[16],"costs,":[17],"considered.":[19],"The":[20,32],"Cournot":[21,54],"equilibrium":[22],"point":[23],"then":[24],"loses":[25],"stability":[26],"through":[27],"a":[28],"subcritical":[29],"Neimark":[30,42],"bifurcation.":[31],"present":[33],"paper":[34],"focuses":[35],"some":[36],"global":[37],"bifurcations,":[38],"which":[39,48],"precede":[40],"bifurcation,":[43],"produce":[45],"other":[46],"attractors":[47],"coexist":[49],"with":[50],"still":[52],"attractive":[53],"fixed":[55],"point.":[56]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-04T09:04:59.091469","created_date":"2025-10-10T00:00:00"}