{"id":"https://openalex.org/W2032631202","doi":"https://doi.org/10.1142/s0219198911002903","title":"DUOPOLY MODELS WITH VERTICAL PRODUCT DIFFERENTIATION","display_name":"DUOPOLY MODELS WITH VERTICAL PRODUCT DIFFERENTIATION","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2032631202","doi":"https://doi.org/10.1142/s0219198911002903","mag":"2032631202"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198911002903","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198911002903","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/A5064677290","display_name":"Dave Furth","orcid":null},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"DAVE FURTH","raw_affiliation_strings":["Faculty of Economics and Business, University of Amsterdam, Roetersstraat 11, 1018 WB Amsterdam, The Netherlands","Faculty of Economics and Business, University of Amsterdam, Roetersstraat 11, 1018 WB, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Economics and Business, University of Amsterdam, Roetersstraat 11, 1018 WB Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]},{"raw_affiliation_string":"Faculty of Economics and Business, University of Amsterdam, Roetersstraat 11, 1018 WB, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064677290"],"corresponding_institution_ids":["https://openalex.org/I887064364"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.14475574,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"13","issue":"02","first_page":"121","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11043","display_name":"Merger and Competition Analysis","score":0.9994999766349792,"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":0.9994999766349792,"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/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11437","display_name":"Digital Platforms and Economics","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/duopoly","display_name":"Duopoly","score":0.9347093105316162},{"id":"https://openalex.org/keywords/product-differentiation","display_name":"Product differentiation","score":0.6646010875701904},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.6070811748504639},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5780683755874634},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.5270509719848633},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5113245844841003},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.5023815631866455},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4486435353755951},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.41614121198654175},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37692949175834656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1950456202030182},{"id":"https://openalex.org/keywords/cournot-competition","display_name":"Cournot competition","score":0.10878342390060425}],"concepts":[{"id":"https://openalex.org/C180456769","wikidata":"https://www.wikidata.org/wiki/Q750207","display_name":"Duopoly","level":3,"score":0.9347093105316162},{"id":"https://openalex.org/C33556415","wikidata":"https://www.wikidata.org/wiki/Q1200129","display_name":"Product differentiation","level":3,"score":0.6646010875701904},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.6070811748504639},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5780683755874634},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.5270509719848633},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5113245844841003},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.5023815631866455},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4486435353755951},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.41614121198654175},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37692949175834656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1950456202030182},{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.10878342390060425},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219198911002903","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198911002903","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:13:y:2011:i:02:n:s0219198911002903","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198911002903","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:13:y:2011:i:02:p:121-140","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219198911002903","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W368192545","https://openalex.org/W1489741075","https://openalex.org/W1966384122","https://openalex.org/W1972398989","https://openalex.org/W1978369028","https://openalex.org/W1981207063","https://openalex.org/W1998191601","https://openalex.org/W2023067240","https://openalex.org/W2036454494","https://openalex.org/W2052864322","https://openalex.org/W2065096726","https://openalex.org/W2084378950","https://openalex.org/W2094322305","https://openalex.org/W2103171378","https://openalex.org/W2300684981","https://openalex.org/W2313896093","https://openalex.org/W2740984722","https://openalex.org/W4230897335","https://openalex.org/W4240491954"],"related_works":["https://openalex.org/W2948820814","https://openalex.org/W3122520984","https://openalex.org/W2356471523","https://openalex.org/W2245685974","https://openalex.org/W2389243905","https://openalex.org/W4253510348","https://openalex.org/W3125378207","https://openalex.org/W2112172672","https://openalex.org/W3091292385","https://openalex.org/W3002415534"],"abstract_inverted_index":{"This":[0],"paper":[1,76],"deals":[2],"with":[3,6,97],"duopoly":[4],"models":[5],"vertical":[7],"product":[8],"differentiation.":[9],"These":[10],"are":[11,48,55,90],"two-stage":[12],"games.":[13],"In":[14,27,73],"the":[15,18,21,28,31,39,43,53,60,64,74,81,88],"first":[16],"stage,":[17,30],"quality":[19],"game,":[20,33],"two":[22],"firms":[23],"choose":[24,35],"their":[25,36],"quality.":[26],"second":[29],"price":[32,82],"they":[34],"prices.":[37],"When":[38,59],"market":[40,61],"is":[41,62,66,78],"covered,":[42],"properties":[44],"of":[45],"this":[46],"game":[47,83],"well":[49],"known,":[50],"even":[51],"when":[52,87],"consumers":[54,89],"not":[56,67],"uniformly":[57],"distributed.":[58],"uncovered":[63],"literature":[65],"always":[68],"clear":[69],"about":[70],"these":[71],"models.":[72],"present":[75],"it":[77],"shown":[79],"that":[80],"can":[84],"be":[85],"solved,":[86],"distributed":[91],"according":[92],"to":[93],"a":[94,98],"distribution":[95],"function":[96],"log-concave":[99],"density":[100],"function.":[101]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}