{"id":"https://openalex.org/W2995408651","doi":"https://doi.org/10.1155/2019/4252151","title":"Investigations of Nonlinear Triopoly Models with Different Mechanisms","display_name":"Investigations of Nonlinear Triopoly Models with Different Mechanisms","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2995408651","doi":"https://doi.org/10.1155/2019/4252151","mag":"2995408651"},"language":"en","primary_location":{"id":"doi:10.1155/2019/4252151","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4252151","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4252151.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/4252151.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088545047","display_name":"Sameh Askar","orcid":"https://orcid.org/0000-0002-1167-2430"},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]},{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"S. S. Askar","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451","Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]},{"raw_affiliation_string":"Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051503260","display_name":"A. Al-khedhairi","orcid":"https://orcid.org/0000-0002-5242-0280"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"A. Al-khedhairi","raw_affiliation_strings":["Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088545047"],"corresponding_institution_ids":["https://openalex.org/I159247623","https://openalex.org/I28022161"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.5484,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83205642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11043","display_name":"Merger and Competition Analysis","score":0.9965999722480774,"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":0.9965999722480774,"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/T12851","display_name":"Firm Innovation and Growth","score":0.9821000099182129,"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/T11976","display_name":"Capital Investment and Risk Analysis","score":0.9642000198364258,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/nonlinear-system","display_name":"Nonlinear system","score":0.6151155829429626},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4752632975578308},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.33525246381759644},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33037203550338745},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1615624725818634},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11815926432609558}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6151155829429626},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4752632975578308},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.33525246381759644},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33037203550338745},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1615624725818634},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11815926432609558},{"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:10.1155/2019/4252151","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4252151","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4252151.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:4252151","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/4252151.xml","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:doaj.org/article:e54cd7ad45164c51a57a074da1f8b67b","is_oa":true,"landing_page_url":"https://doaj.org/article/e54cd7ad45164c51a57a074da1f8b67b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/4252151","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4252151","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4252151.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3837967329","display_name":null,"funder_award_id":"RG-1435-054","funder_id":"https://openalex.org/F4320335726","funder_display_name":"Deanship of Scientific Research, King Saud University"},{"id":"https://openalex.org/G494712993","display_name":null,"funder_award_id":"RG-1435-054","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"},{"id":"https://openalex.org/F4320335726","display_name":"Deanship of Scientific Research, King Saud University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2995408651.pdf","grobid_xml":"https://content.openalex.org/works/W2995408651.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1966894362","https://openalex.org/W1969053526","https://openalex.org/W1997777356","https://openalex.org/W2003908419","https://openalex.org/W2036166961","https://openalex.org/W2050920251","https://openalex.org/W2066661380","https://openalex.org/W2067706933","https://openalex.org/W2070505816","https://openalex.org/W2083892314","https://openalex.org/W2092665479","https://openalex.org/W2626936743","https://openalex.org/W2771509890","https://openalex.org/W3122000710","https://openalex.org/W4231281251","https://openalex.org/W4241511159"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W4402327032"],"abstract_inverted_index":{"This":[0],"paper":[1,20],"studies":[2],"the":[3,53,58,64,107,116,123,145,167],"dynamic":[4],"characteristics":[5],"of":[6,55,66,87,102,147,150,169],"triopoly":[7],"models":[8,152],"that":[9,112,144,159],"are":[10,38,126],"constructed":[11],"based":[12],"on":[13,34,57],"a":[14,28,46],"3\u2010dimensional":[15,47],"Cobb\u2013Douglas":[16],"utility":[17],"function.":[18],"The":[19,24,41,93,128],"presents":[21],"two":[22,103,132],"parts.":[23],"first":[25,108],"part":[26,95],"introduces":[27],"competition":[29,42],"among":[30],"three":[31],"rational":[32,140,163],"firms":[33,161],"which":[35,69],"their":[36],"prices":[37],"isoelastic":[39],"functions.":[40],"is":[43,70,74,79,153,172],"described":[44],"by":[45],"discrete":[48],"dynamical":[49],"system.":[50],"We":[51],"examine":[52],"impact":[54],"rationality":[56],"system\u2019s":[59],"steady":[60],"state":[61],"point.":[62],"Studying":[63],"stability/instability":[65],"this":[67],"point,":[68],"Nash":[71,88],"equilibrium":[72],"and":[73,90],"unique":[75],"in":[76],"those":[77,151],"models,":[78],"illustrated.":[80],"Numerically,":[81],"we":[82,110],"give":[83],"some":[84],"global":[85],"analysis":[86],"point":[89,149,171],"its":[91],"stability.":[92],"second":[94,129],"deals":[96],"with":[97,135,164],"heterogeneous":[98,133],"scenarios.":[99],"It":[100],"consists":[101],"different":[104],"models.":[105],"In":[106],"model,":[109],"assume":[111],"one":[113,139],"competitor":[114],"adopts":[115],"local":[117],"monopolistic":[118],"approximation":[119],"mechanism":[120,137],"(LMA)":[121],"while":[122],"other":[124],"opponents":[125],"rational.":[127],"model":[130],"assumes":[131],"players":[134],"LMA":[136],"against":[138],"firm.":[141],"Studies":[142],"show":[143],"stability":[146,168],"NE":[148,170],"not":[154],"guaranteed.":[155],"Furthermore,":[156],"simulation":[157],"shows":[158],"when":[160],"behave":[162],"symmetric":[165],"costs,":[166],"achievable.":[173]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
