{"id":"https://openalex.org/W2150778261","doi":"https://doi.org/10.1142/s0218127402005789","title":"GLOBAL BIFURCATIONS OF BASINS IN A TRIOPOLY GAME","display_name":"GLOBAL BIFURCATIONS OF BASINS IN A TRIOPOLY GAME","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2150778261","doi":"https://doi.org/10.1142/s0218127402005789","mag":"2150778261"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127402005789","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127402005789","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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 Journal of Bifurcation and Chaos","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":false,"raw_author_name":"ANNA AGLIARI","raw_affiliation_strings":["Istituto di Econometria e Matematica, Universit\u00e0 Cattolica del Sacro Cuore, Largo Gemelli, 1, 20123 Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto di Econometria e Matematica, Universit\u00e0 Cattolica del Sacro Cuore, Largo Gemelli, 1, 20123 Milano, 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":["University of Urbino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Urbino, 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":["University of Umea, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Umea, Sweden","institution_ids":["https://openalex.org/I90267481"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.994,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.93603971,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"12","issue":"10","first_page":"2175","last_page":"2207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9772999882698059,"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/T12137","display_name":"Economic theories and models","score":0.9772999882698059,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9465000033378601,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11043","display_name":"Merger and Competition Analysis","score":0.9373999834060669,"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":0.7839251756668091},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.617639422416687},{"id":"https://openalex.org/keywords/inverse-demand-function","display_name":"Inverse demand function","score":0.5728541612625122},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5639786720275879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5316610336303711},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4998292922973633},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4874029755592346},{"id":"https://openalex.org/keywords/competitor-analysis","display_name":"Competitor analysis","score":0.45979616045951843},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.45692870020866394},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4438899755477905},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.43292129039764404},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4019640386104584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38160479068756104},{"id":"https://openalex.org/keywords/demand-curve","display_name":"Demand curve","score":0.3358476161956787},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.32206791639328003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21863597631454468},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13527792692184448},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.11829257011413574}],"concepts":[{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.7839251756668091},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.617639422416687},{"id":"https://openalex.org/C143685982","wikidata":"https://www.wikidata.org/wiki/Q1376545","display_name":"Inverse demand function","level":3,"score":0.5728541612625122},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5639786720275879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5316610336303711},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4998292922973633},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4874029755592346},{"id":"https://openalex.org/C127576917","wikidata":"https://www.wikidata.org/wiki/Q624630","display_name":"Competitor analysis","level":2,"score":0.45979616045951843},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.45692870020866394},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4438899755477905},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.43292129039764404},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4019640386104584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38160479068756104},{"id":"https://openalex.org/C176398731","wikidata":"https://www.wikidata.org/wiki/Q8981416","display_name":"Demand curve","level":2,"score":0.3358476161956787},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.32206791639328003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21863597631454468},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13527792692184448},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.11829257011413574},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127402005789","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127402005789","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"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 Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W331846077","https://openalex.org/W1544560039","https://openalex.org/W1597461812","https://openalex.org/W1972419255","https://openalex.org/W2036166961","https://openalex.org/W2050920251","https://openalex.org/W2060518702","https://openalex.org/W2074573657","https://openalex.org/W2087840616","https://openalex.org/W2977275423","https://openalex.org/W4205905703","https://openalex.org/W4231530765","https://openalex.org/W4233040091","https://openalex.org/W4285719527","https://openalex.org/W4292510609"],"related_works":["https://openalex.org/W1578423955","https://openalex.org/W2949793344","https://openalex.org/W2942107507","https://openalex.org/W2004176369","https://openalex.org/W2621908726","https://openalex.org/W1993446692","https://openalex.org/W3122277563","https://openalex.org/W1975948686","https://openalex.org/W3124065407","https://openalex.org/W3143857428"],"abstract_inverted_index":{"A":[0],"Cournot":[1],"model":[2],"based":[3],"on":[4],"bounded":[5],"inverse":[6],"demand":[7],"function":[8],"and":[9,23,74,98],"constant":[10],"marginal":[11],"production":[12],"costs":[13],"is":[14,21,47],"studied.":[15],"The":[16,38],"case":[17],"of":[18,36,40,44,72,94],"three":[19],"producers":[20,97],"considered":[22],"the":[24,34,41,45,50,56,66,70,76,82,91,100,103],"adjustment":[25],"process":[26],"reduces":[27],"to":[28,55,102],"a":[29],"three-dimensional":[30],"noninvertible":[31],"map":[32,46],"in":[33,59,69,75],"output":[35],"competitors.":[37],"analysis":[39],"dynamical":[42],"behavior":[43],"performed":[48],"by":[49],"\"critical":[51],"curve":[52],"method\",":[53],"extended":[54],"critical":[57],"surfaces":[58],"3D.":[60],"By":[61],"this":[62],"method,":[63],"we":[64],"explain":[65],"different":[67],"bifurcations":[68],"basins":[71],"attraction":[73],"attracting":[77],"sets.":[78],"In":[79],"particular,":[80],"given":[81],"economic":[83],"application,":[84],"feasible":[85],"trajectories":[86],"are":[87],"focused,":[88],"starting":[89],"from":[90],"simple":[92],"situation":[93],"two":[95],"identical":[96],"extending":[99],"results":[101],"generic":[104],"case.":[105]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
