{"id":"https://openalex.org/W2767220255","doi":"https://doi.org/10.1109/tcst.2017.2702120","title":"Complexity Analysis About Nonlinear Mixed Oligopolies Game Based on Production Cooperation","display_name":"Complexity Analysis About Nonlinear Mixed Oligopolies Game Based on Production Cooperation","publication_year":2017,"publication_date":"2017-11-07","ids":{"openalex":"https://openalex.org/W2767220255","doi":"https://doi.org/10.1109/tcst.2017.2702120","mag":"2767220255"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2017.2702120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2017.2702120","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","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/A5037162105","display_name":"Junhai Ma","orcid":"https://orcid.org/0000-0002-0827-5143"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junhai Ma","raw_affiliation_strings":["College of Management and Economics, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-0827-5143","affiliations":[{"raw_affiliation_string":"College of Management and Economics, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101527796","display_name":"Lijian Sun","orcid":"https://orcid.org/0000-0001-7832-7140"},"institutions":[{"id":"https://openalex.org/I132369690","display_name":"Tianjin University of Science and Technology","ror":"https://ror.org/018rbtf37","country_code":"CN","type":"education","lineage":["https://openalex.org/I132369690"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lijian Sun","raw_affiliation_strings":["College of Science, Tianjin University of Science and Technology, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0001-7832-7140","affiliations":[{"raw_affiliation_string":"College of Science, Tianjin University of Science and Technology, Tianjin, China","institution_ids":["https://openalex.org/I132369690"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.8725,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.91152698,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"26","issue":"4","first_page":"1532","last_page":"1539"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11043","display_name":"Merger and Competition Analysis","score":0.9803000092506409,"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/oligopoly","display_name":"Oligopoly","score":0.8251440525054932},{"id":"https://openalex.org/keywords/profit","display_name":"Profit (economics)","score":0.5336772799491882},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4989125728607178},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.49682262539863586},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.44546663761138916},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.423565149307251},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.39303824305534363},{"id":"https://openalex.org/keywords/industrial-organization","display_name":"Industrial organization","score":0.3852303624153137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35559481382369995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35513365268707275},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.32419654726982117},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.31549763679504395},{"id":"https://openalex.org/keywords/cournot-competition","display_name":"Cournot competition","score":0.11229056119918823},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08984920382499695}],"concepts":[{"id":"https://openalex.org/C121398111","wikidata":"https://www.wikidata.org/wiki/Q103639","display_name":"Oligopoly","level":3,"score":0.8251440525054932},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.5336772799491882},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4989125728607178},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.49682262539863586},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.44546663761138916},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.423565149307251},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.39303824305534363},{"id":"https://openalex.org/C40700","wikidata":"https://www.wikidata.org/wiki/Q1411783","display_name":"Industrial organization","level":1,"score":0.3852303624153137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35559481382369995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35513365268707275},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.32419654726982117},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.31549763679504395},{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.11229056119918823},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08984920382499695},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcst.2017.2702120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2017.2702120","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.550000011920929,"id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G1537600410","display_name":"\u4e00\u7c7b\u591a\u6e20\u9053\u65f6\u6ede\u4f9b\u5e94\u94fe\u7cfb\u7edf\u725b\u97ad\u6548\u5e94\u53ca\u63a7\u5236\u7814\u7a76","funder_award_id":"71571131","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322701","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W746781411","https://openalex.org/W1989277078","https://openalex.org/W2002442681","https://openalex.org/W2032844294","https://openalex.org/W2033186809","https://openalex.org/W2036258624","https://openalex.org/W2045912307","https://openalex.org/W2047869609","https://openalex.org/W2062957830","https://openalex.org/W2090304900","https://openalex.org/W2283374429","https://openalex.org/W2325309876","https://openalex.org/W2344179576","https://openalex.org/W2540417212"],"related_works":["https://openalex.org/W1993550116","https://openalex.org/W3203217726","https://openalex.org/W2013473227","https://openalex.org/W2141969758","https://openalex.org/W2160779916","https://openalex.org/W1491467418","https://openalex.org/W3122100129","https://openalex.org/W2042401112","https://openalex.org/W3146107264","https://openalex.org/W2545027421"],"abstract_inverted_index":{"Under":[0],"the":[1,34,65,72,75,79,90,96,99,102,114,119,124,127,130,133,138,141,145,149],"influence":[2,94],"of":[3,33,59,67,74,82,95,101,118,126,132,140,148],"\u201cthe":[4],"Belt":[5],"and":[6,23,61,63,85,129,154],"Road":[7],"Initiative\u201d":[8],"launched":[9],"by":[10],"Chinese":[11,14],"Government,":[12],"many":[13],"oligopoly":[15],"enterprises":[16,40],"begin":[17],"to":[18,28],"select":[19],"certain":[20],"international":[21],"partners":[22],"transfer":[24],"some":[25,32],"low-end":[26],"production":[27],"overseas,":[29],"while":[30],"keeping":[31],"high-end":[35],"links":[36],"domestic.":[37],"Therefore,":[38],"these":[39],"form":[41],"competition":[42],"at":[43],"both":[44],"sides.":[45],"To":[46],"represent":[47],"such":[48],"a":[49,54],"competitive":[50],"status,":[51],"we":[52,77,112],"establish":[53],"four-oligopoly":[55],"mixed":[56],"game":[57],"model":[58],"upstream":[60],"downstream,":[62],"examine":[64],"complexity":[66,131],"its":[68],"characteristics.":[69],"After":[70],"identifying":[71],"importance":[73],"parameters,":[76,121],"consider":[78],"stable":[80],"region":[81],"three":[83],"dimensions":[84],"based":[86],"on":[87,98,144],"which":[88,122],"find":[89,113],"equilibrium":[91],"point.":[92],"The":[93],"parameters":[97],"stability":[100],"system":[103,128,142],"is":[104],"then":[105],"studied.":[106],"Using":[107],"two":[108,120,150],"parameter":[109],"bifurcation":[110],"diagrams,":[111],"largest":[115],"Lyapunov":[116],"exponent":[117],"represents":[123],"path":[125],"system.":[134],"We":[135],"also":[136],"discuss":[137],"effect":[139],"instability":[143],"average":[146,156],"profit":[147,157],"sides":[151],"with":[152],"3-D":[153],"4-D":[155],"graphs.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}