{"id":"https://openalex.org/W2057129345","doi":"https://doi.org/10.1142/s0219198905000648","title":"BECKMANN'S EDGEWORTH-BERTRAND DUOPOLY EXAMPLE REVISITED","display_name":"BECKMANN'S EDGEWORTH-BERTRAND DUOPOLY EXAMPLE REVISITED","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W2057129345","doi":"https://doi.org/10.1142/s0219198905000648","mag":"2057129345"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198905000648","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198905000648","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/A5085465544","display_name":"Alexei F. Cheviakov","orcid":"https://orcid.org/0000-0002-9647-3683"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"ALEXEI F. CHEVIAKOV","raw_affiliation_strings":["Department of Mathematics, University of British, Columbia, Vancouver, B.C. V6T 1Z4, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British, Columbia, Vancouver, B.C. V6T 1Z4, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081961049","display_name":"John M. Hartwick","orcid":null},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"JOHN M. HARTWICK","raw_affiliation_strings":["Department of Economics, Queen's University, Kingston, Ontario K7L 3N6, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Economics, Queen's University, Kingston, Ontario K7L 3N6, Canada","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085465544"],"corresponding_institution_ids":["https://openalex.org/I141945490"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.16897239,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"07","issue":"04","first_page":"461","last_page":"472"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9983999729156494,"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":0.9983999729156494,"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/T11043","display_name":"Merger and Competition Analysis","score":0.998199999332428,"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":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.717631459236145},{"id":"https://openalex.org/keywords/duopoly","display_name":"Duopoly","score":0.6933407187461853},{"id":"https://openalex.org/keywords/bertrand-competition","display_name":"Bertrand competition","score":0.5669237375259399},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.5349997282028198},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4581140875816345},{"id":"https://openalex.org/keywords/limit-price","display_name":"Limit price","score":0.4529917240142822},{"id":"https://openalex.org/keywords/market-price","display_name":"Market price","score":0.43229416012763977},{"id":"https://openalex.org/keywords/price-level","display_name":"Price level","score":0.4227946102619171},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.36879611015319824},{"id":"https://openalex.org/keywords/oligopoly","display_name":"Oligopoly","score":0.3680001497268677},{"id":"https://openalex.org/keywords/monetary-economics","display_name":"Monetary economics","score":0.1195719838142395},{"id":"https://openalex.org/keywords/cournot-competition","display_name":"Cournot competition","score":0.1139320433139801}],"concepts":[{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.717631459236145},{"id":"https://openalex.org/C180456769","wikidata":"https://www.wikidata.org/wiki/Q750207","display_name":"Duopoly","level":3,"score":0.6933407187461853},{"id":"https://openalex.org/C142470991","wikidata":"https://www.wikidata.org/wiki/Q828555","display_name":"Bertrand competition","level":4,"score":0.5669237375259399},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.5349997282028198},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4581140875816345},{"id":"https://openalex.org/C134864226","wikidata":"https://www.wikidata.org/wiki/Q1545824","display_name":"Limit price","level":3,"score":0.4529917240142822},{"id":"https://openalex.org/C64112148","wikidata":"https://www.wikidata.org/wiki/Q160151","display_name":"Market price","level":2,"score":0.43229416012763977},{"id":"https://openalex.org/C34881761","wikidata":"https://www.wikidata.org/wiki/Q1936341","display_name":"Price level","level":2,"score":0.4227946102619171},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.36879611015319824},{"id":"https://openalex.org/C121398111","wikidata":"https://www.wikidata.org/wiki/Q103639","display_name":"Oligopoly","level":3,"score":0.3680001497268677},{"id":"https://openalex.org/C556758197","wikidata":"https://www.wikidata.org/wiki/Q580018","display_name":"Monetary economics","level":1,"score":0.1195719838142395},{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.1139320433139801},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219198905000648","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198905000648","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:07:y:2005:i:04:n:s0219198905000648","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198905000648","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:07:y:2005:i:04:p:461-472","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&amp;id=pii:S0219198905000648","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1562406545","https://openalex.org/W1960943634","https://openalex.org/W1996718907","https://openalex.org/W2007197597","https://openalex.org/W2330056579","https://openalex.org/W4249537365","https://openalex.org/W4300006923"],"related_works":["https://openalex.org/W1506398101","https://openalex.org/W1581434147","https://openalex.org/W1563505728","https://openalex.org/W1759411517","https://openalex.org/W3133772197","https://openalex.org/W2114654659","https://openalex.org/W2248575943","https://openalex.org/W2171933081","https://openalex.org/W2365361495","https://openalex.org/W2771455293"],"abstract_inverted_index":{"In":[0],"the":[1,12,43,73],"Edgeworth-Bertrand":[2],"price":[3,39,66],"game,":[4,57],"each":[5],"player":[6,70],"has":[7],"a":[8,19,69],"capacity":[9,36],"output,":[10],"faces":[11],"same":[13],"market":[14,27],"demand,":[15],"and":[16,62],"calls":[17],"out":[18],"price.":[20,30],"The":[21,31],"high-price":[22],"caller":[23,33],"gets":[24,34],"some":[25],"residual":[26],"at":[28,37],"her":[29,35,38,76],"low-price":[32],"or":[40],"all":[41],"of":[42,55,75],"market.":[44],"We":[45],"re-work":[46],"Beckmann's":[47],"closed":[48],"form":[49],"solution":[50],"to":[51],"his":[52],"symmetric":[53],"version":[54],"this":[56],"mostly":[58],"in":[59],"mixed":[60],"strategies,":[61],"observe":[63],"that":[64],"expected":[65],"played":[67],"by":[68],"declines":[71],"with":[72],"size":[74],"exogenously":[77],"given":[78],"capacity.":[79]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
