{"id":"https://openalex.org/W2013481991","doi":"https://doi.org/10.4236/tel.2012.21013","title":"Stackelberg-Walras and Cournot-Walras Equilibria in Mixed Markets: A Comparison","display_name":"Stackelberg-Walras and Cournot-Walras Equilibria in Mixed Markets: A Comparison","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2013481991","doi":"https://doi.org/10.4236/tel.2012.21013","mag":"2013481991"},"language":"en","primary_location":{"id":"doi:10.4236/tel.2012.21013","doi":"https://doi.org/10.4236/tel.2012.21013","is_oa":true,"landing_page_url":"https://doi.org/10.4236/tel.2012.21013","pdf_url":"http://www.scirp.org/journal/PaperDownload.aspx?paperID=17366","source":{"id":"https://openalex.org/S2764708357","display_name":"Theoretical Economics Letters","issn_l":"2162-2078","issn":["2162-2078","2162-2086"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Economics Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.scirp.org/journal/PaperDownload.aspx?paperID=17366","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038345791","display_name":"Ludovic A. Julien","orcid":"https://orcid.org/0000-0001-7398-3157","observed_orcids":["https://orcid.org/0000-0001-7398-3157"]},"institutions":[{"id":"https://openalex.org/I40434647","display_name":"Universit\u00e9 Paris Nanterre","ror":"https://ror.org/013bkhk48","country_code":"FR","type":"education","lineage":["https://openalex.org/I40434647"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Ludovic A. Julien","raw_affiliation_strings":["Paris West University Nanterre La D\u00e9fense"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Paris West University Nanterre La D\u00e9fense","institution_ids":["https://openalex.org/I40434647"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038345791"],"corresponding_institution_ids":["https://openalex.org/I40434647"],"apc_list":null,"apc_paid":null,"fwci":0.6937,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82525015,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"02","issue":"01","first_page":"69","last_page":"74"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9883000254631042,"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":0.9883000254631042,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.006200000178068876,"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/T11031","display_name":"Game Theory and Applications","score":0.0017999999690800905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mixed-markets","display_name":"mixed markets","score":0.8460000157356262},{"id":"https://openalex.org/keywords/continuum-of-traders","display_name":"continuum of traders","score":0.7549999952316284},{"id":"https://openalex.org/keywords/cobb-douglas-utility","display_name":"Cobb-Douglas utility","score":0.8960000276565552},{"id":"https://openalex.org/keywords/best-response-functions","display_name":"best response functions","score":0.8140000104904175},{"id":"https://openalex.org/keywords/uniqueness-of-equilibrium","display_name":"uniqueness of equilibrium","score":0.4339999854564667}],"concepts":[{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.9275952577590942},{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.8025890588760376},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.765211820602417},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5410157442092896},{"id":"https://openalex.org/C103382277","wikidata":"https://www.wikidata.org/wiki/Q282640","display_name":"General equilibrium theory","level":2,"score":0.5205865502357483},{"id":"https://openalex.org/C2775962089","wikidata":"https://www.wikidata.org/wiki/Q16721782","display_name":"Exchange economy","level":2,"score":0.5070745944976807},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3950658142566681},{"id":"https://openalex.org/C133425853","wikidata":"https://www.wikidata.org/wiki/Q60571","display_name":"Neoclassical economics","level":1,"score":0.3369064927101135}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.4236/tel.2012.21013","doi":"https://doi.org/10.4236/tel.2012.21013","is_oa":true,"landing_page_url":"https://doi.org/10.4236/tel.2012.21013","pdf_url":"http://www.scirp.org/journal/PaperDownload.aspx?paperID=17366","source":{"id":"https://openalex.org/S2764708357","display_name":"Theoretical Economics Letters","issn_l":"2162-2078","issn":["2162-2078","2162-2086"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Economics Letters","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.848.5854","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.848.5854","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scirp.org/journal/PaperDownload.aspx?paperID%3D17366","raw_type":"text"},{"id":"mag:3122083601","doi":null,"is_oa":false,"landing_page_url":"https://econpapers.repec.org/RePEc:hal:journl:halshs-01228009","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,"listed_in":[],"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":"RePEc: Research Papers in Economics","raw_type":null},{"id":"pmh:oai:HAL:hal-01449902v1","doi":null,"is_oa":false,"landing_page_url":"https://hal-univ-paris10.archives-ouvertes.fr/hal-01449902","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2162-2086","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-05758740v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-05758740","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theoretical Economics Letters, 2012, 02 (01), pp.69-74. ⟨10.4236/tel.2012.21013⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:halshs-01228009v1","doi":null,"is_oa":false,"landing_page_url":"https://shs.hal.science/halshs-01228009","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theoretical Economics Letters, 2012, 2 (1), pp.69-74","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.4236/tel.2012.21013","doi":"https://doi.org/10.4236/tel.2012.21013","is_oa":true,"landing_page_url":"https://doi.org/10.4236/tel.2012.21013","pdf_url":"http://www.scirp.org/journal/PaperDownload.aspx?paperID=17366","source":{"id":"https://openalex.org/S2764708357","display_name":"Theoretical Economics Letters","issn_l":"2162-2078","issn":["2162-2078","2162-2086"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Economics Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2013481991.pdf","grobid_xml":"https://content.openalex.org/works/W2013481991.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1987895243","https://openalex.org/W2022671377","https://openalex.org/W2025782431","https://openalex.org/W2041607896","https://openalex.org/W2045026196","https://openalex.org/W2068435804","https://openalex.org/W2094311552","https://openalex.org/W2131704270","https://openalex.org/W2141855738","https://openalex.org/W3122429340"],"related_works":["https://openalex.org/W2156973113","https://openalex.org/W2141855738","https://openalex.org/W2022671377","https://openalex.org/W1967399197","https://openalex.org/W2329080580","https://openalex.org/W2076056845","https://openalex.org/W3121861248","https://openalex.org/W1630119568","https://openalex.org/W2145630305","https://openalex.org/W3122429340"],"abstract_inverted_index":{"In":[0],"this":[1],"note,":[2],"we":[3],"compare":[4],"two":[5],"strategic":[6],"general":[7],"equilibrium":[8,12],"concepts:":[9],"the":[10,14,36,39,48,51,59,69,72],"Stackelberg-Walras":[11],"and":[13,26,50,61,67],"Cournot-Walras":[15,52],"equilibrium.":[16,82],"We":[17],"thus":[18],"consider":[19],"a":[20,27],"market":[21],"exchange":[22],"economy":[23],"embodying":[24],"atoms":[25,64],"continuum":[28],"of":[29,38,63,71],"traders.":[30],"It":[31],"is":[32],"shown":[33],"that,":[34],"when":[35],"preferences":[37,62],"small":[40],"traders":[41],"are":[42,65,77],"represented":[43],"by":[44],"Cobb-Douglas":[45],"utility":[46],"functions,":[47],"Stackel-berg-Walras":[49],"equilibria":[53],"can":[54],"coincide":[55],"only":[56],"if":[57],"1)":[58],"endowments":[60],"identical":[66],"2)":[68],"elasticity":[70],"followers\u2019":[73],"best":[74],"response":[75],"functions":[76],"equal":[78],"to":[79],"zero":[80],"in":[81]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}