{"id":"https://openalex.org/W2170217126","doi":"https://doi.org/10.1142/s021919890400023x","title":"STATISTICAL DYNAMICS IN PIECEWISE LINEAR COURNOT GAME WITH HETEROGENEOUS DUOPOLISTS","display_name":"STATISTICAL DYNAMICS IN PIECEWISE LINEAR COURNOT GAME WITH HETEROGENEOUS DUOPOLISTS","publication_year":2004,"publication_date":"2004-09-01","ids":{"openalex":"https://openalex.org/W2170217126","doi":"https://doi.org/10.1142/s021919890400023x","mag":"2170217126"},"language":"en","primary_location":{"id":"doi:10.1142/s021919890400023x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021919890400023x","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/A5086986783","display_name":"Akio Matsumoto","orcid":"https://orcid.org/0000-0003-4613-3653"},"institutions":[{"id":"https://openalex.org/I96679780","display_name":"Chuo University","ror":"https://ror.org/03qvqb743","country_code":"JP","type":"education","lineage":["https://openalex.org/I96679780"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"AKIO MATSUMOTO","raw_affiliation_strings":["Department of Economics, Chuo University, 742-1 Higashi-Nakano, Hachioji, Tokyo, 192-0393, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Economics, Chuo University, 742-1 Higashi-Nakano, Hachioji, Tokyo, 192-0393, Japan","institution_ids":["https://openalex.org/I96679780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086986783"],"corresponding_institution_ids":["https://openalex.org/I96679780"],"apc_list":null,"apc_paid":null,"fwci":1.1178,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.88126536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"06","issue":"03","first_page":"295","last_page":"321"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9916999936103821,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9916999936103821,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9656999707221985,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9610999822616577,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/cournot-competition","display_name":"Cournot competition","score":0.9558924436569214},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.6458370089530945},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6248655319213867},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6195827722549438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5688357353210449},{"id":"https://openalex.org/keywords/duopoly","display_name":"Duopoly","score":0.5470394492149353},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4695744216442108},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3499552607536316},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34075337648391724},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.30477291345596313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23991045355796814},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23588255047798157},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21573129296302795}],"concepts":[{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.9558924436569214},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6458370089530945},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6248655319213867},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6195827722549438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5688357353210449},{"id":"https://openalex.org/C180456769","wikidata":"https://www.wikidata.org/wiki/Q750207","display_name":"Duopoly","level":3,"score":0.5470394492149353},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4695744216442108},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3499552607536316},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34075337648391724},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.30477291345596313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23991045355796814},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23588255047798157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21573129296302795},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s021919890400023x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021919890400023x","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:CiteSeerX.psu:10.1.1.574.9139","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.574.9139","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.tamacc.chuo-u.ac.jp/keizaiken/discussno58.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:06:y:2004:i:03:n:s021919890400023x","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S021919890400023X","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":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/8"}],"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":21,"referenced_works":["https://openalex.org/W34828725","https://openalex.org/W133124769","https://openalex.org/W1543746018","https://openalex.org/W1964938522","https://openalex.org/W1969665421","https://openalex.org/W1972092669","https://openalex.org/W1982582947","https://openalex.org/W1990714979","https://openalex.org/W1995868605","https://openalex.org/W2001401050","https://openalex.org/W2004364390","https://openalex.org/W2009313082","https://openalex.org/W2030693903","https://openalex.org/W2050920251","https://openalex.org/W2061715180","https://openalex.org/W2072359078","https://openalex.org/W2086029040","https://openalex.org/W2107619343","https://openalex.org/W2977275423","https://openalex.org/W4234277200","https://openalex.org/W4254718130"],"related_works":["https://openalex.org/W1494754662","https://openalex.org/W1815186740","https://openalex.org/W2996496936","https://openalex.org/W1982613052","https://openalex.org/W2057294517","https://openalex.org/W2026482387","https://openalex.org/W2075268106","https://openalex.org/W3140326999","https://openalex.org/W2969940344","https://openalex.org/W2009265027"],"abstract_inverted_index":{"We":[0,41],"study":[1],"a":[2,15],"Cournot":[3,76,79],"duopoly":[4],"dynamic":[5],"model":[6,16],"in":[7],"which":[8],"reaction":[9],"functions":[10,36],"are":[11,70],"piecewise":[12],"linear.":[13],"Such":[14],"typically":[17],"generates":[18],"ergodic":[19],"chaos":[20],"when":[21],"it":[22],"involves":[23],"strong":[24],"nonlinearites.":[25],"To":[26],"investigate":[27],"statistical":[28],"properties,":[29],"we":[30],"construct":[31],"explicit":[32],"forms":[33],"of":[34,62,75],"density":[35],"associated":[37],"with":[38],"chaotic":[39,53],"trajectories.":[40],"demonstrate":[42],"that":[43],"the":[44,60,63,67,71],"long-run":[45],"average":[46,64,68],"behavior":[47],"possesses":[48],"regular":[49],"properties":[50],"although":[51],"each":[52],"trajectory":[54],"exhibits":[55],"irregular":[56],"motions.":[57],"In":[58],"particular,":[59],"ratios":[61],"outputs":[65,77],"and":[66,78],"profits":[69],"same":[72],"as":[73],"those":[74],"profits.":[80]},"counts_by_year":[{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}