{"id":"https://openalex.org/W2068266497","doi":"https://doi.org/10.1142/s0219198901000336","title":"(AVERAGE-) CONVEXITY OF COMMON POOL AND OLIGOPOLY TU-GAMES","display_name":"(AVERAGE-) CONVEXITY OF COMMON POOL AND OLIGOPOLY TU-GAMES","publication_year":2001,"publication_date":"2001-06-01","ids":{"openalex":"https://openalex.org/W2068266497","doi":"https://doi.org/10.1142/s0219198901000336","mag":"2068266497"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198901000336","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198901000336","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":true,"oa_status":"green","oa_url":"https://research.utwente.nl/en/publications/average-convexity-of-common-pool-and-oligopoly-tugames(2d50de5a-30df-41b6-97f0-b1cc73730db5).html","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004321871","display_name":"Theo Driessen","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"THEO S. H. DRIESSEN","raw_affiliation_strings":["Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands","Faculty of Mathematical Sciences, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"Faculty of Mathematical Sciences, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068525174","display_name":"Holger Ingmar Meinhardt","orcid":"https://orcid.org/0000-0002-8990-4190"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]},{"id":"https://openalex.org/I4210119349","display_name":"Karlsruhe University of Education","ror":"https://ror.org/01t1kq612","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210119349"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"HOLGER MEINHARDT","raw_affiliation_strings":["Projekt Umweltgemeing\u00fcter, Lehrstuhl f\u00fcr Volkswirtschaftslehre 3, Postfach 69 80, Universit\u00e4t Karlsruhe, Zirkel 2, D-76128 Karlsruhe, Germany","Universit\u00e4t Karlsruhe,"],"affiliations":[{"raw_affiliation_string":"Projekt Umweltgemeing\u00fcter, Lehrstuhl f\u00fcr Volkswirtschaftslehre 3, Postfach 69 80, Universit\u00e4t Karlsruhe, Zirkel 2, D-76128 Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Universit\u00e4t Karlsruhe,","institution_ids":["https://openalex.org/I4210119349"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004321871"],"corresponding_institution_ids":["https://openalex.org/I94624287"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16474588,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"03","issue":"02n03","first_page":"141","last_page":"158"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11043","display_name":"Merger and Competition Analysis","score":0.9595000147819519,"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":0.9595000147819519,"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":0.9592000246047974,"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/T11182","display_name":"Auction Theory and Applications","score":0.9294000267982483,"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/convexity","display_name":"Convexity","score":0.9312185049057007},{"id":"https://openalex.org/keywords/oligopoly","display_name":"Oligopoly","score":0.6309665441513062},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6119170188903809},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5509822964668274},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5486789345741272},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5317778587341309},{"id":"https://openalex.org/keywords/inverse-demand-function","display_name":"Inverse demand function","score":0.5162327289581299},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48133787512779236},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.4350558817386627},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4224541485309601},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41525959968566895},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2743470072746277},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.16545939445495605},{"id":"https://openalex.org/keywords/demand-curve","display_name":"Demand curve","score":0.11863285303115845}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.9312185049057007},{"id":"https://openalex.org/C121398111","wikidata":"https://www.wikidata.org/wiki/Q103639","display_name":"Oligopoly","level":3,"score":0.6309665441513062},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6119170188903809},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5509822964668274},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5486789345741272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5317778587341309},{"id":"https://openalex.org/C143685982","wikidata":"https://www.wikidata.org/wiki/Q1376545","display_name":"Inverse demand function","level":3,"score":0.5162327289581299},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48133787512779236},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.4350558817386627},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4224541485309601},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41525959968566895},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2743470072746277},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.16545939445495605},{"id":"https://openalex.org/C176398731","wikidata":"https://www.wikidata.org/wiki/Q8981416","display_name":"Demand curve","level":2,"score":0.11863285303115845},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1142/s0219198901000336","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198901000336","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:ris.utwente.nl:openaire_cris_publications/01a2d955-c68f-46b4-a51a-89331aa3f814","is_oa":false,"landing_page_url":"https://research.utwente.nl/en/publications/01a2d955-c68f-46b4-a51a-89331aa3f814","pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Driessen, T & Meinhardt, H 2001, '(Average-) convexity of common pool and oligopoly TU-games', International game theory review, vol. 3, no. 2-3, pp. 141-158. https://doi.org/10.1142/S0219198901000336","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:03:y:2001:i:02n03:n:s0219198901000336","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198901000336","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:ris.utwente.nl:openaire_cris_publications/2d50de5a-30df-41b6-97f0-b1cc73730db5","is_oa":false,"landing_page_url":"https://research.utwente.nl/en/publications/2d50de5a-30df-41b6-97f0-b1cc73730db5","pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Driessen, T & Meinhardt, H 2000, (Average-) convexity of common pool and oligopoly TU-games. Memorandum, no. 1558, University of Twente, Enschede.","raw_type":"info:eu-repo/semantics/report"},{"id":"pmh:ut:oai:ris.utwente.nl:publications/01a2d955-c68f-46b4-a51a-89331aa3f814","is_oa":false,"landing_page_url":"https://research.utwente.nl/en/publications/average-convexity-of-common-pool-and-oligopoly-tugames(01a2d955-c68f-46b4-a51a-89331aa3f814).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International game theory review, 3(2-3), 141 - 158. World Scientific Publishing Co. Pte Ltd","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:ut:oai:ris.utwente.nl:publications/2d50de5a-30df-41b6-97f0-b1cc73730db5","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/average-convexity-of-common-pool-and-oligopoly-tugames(2d50de5a-30df-41b6-97f0-b1cc73730db5).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/report"},{"id":"mag:2068266497","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:ut:oai:ris.utwente.nl:publications/2d50de5a-30df-41b6-97f0-b1cc73730db5","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/average-convexity-of-common-pool-and-oligopoly-tugames(2d50de5a-30df-41b6-97f0-b1cc73730db5).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1971724189","https://openalex.org/W2030724624","https://openalex.org/W2063396546","https://openalex.org/W2077536535","https://openalex.org/W2085648025","https://openalex.org/W2096095415","https://openalex.org/W2102667381","https://openalex.org/W2226396244"],"related_works":["https://openalex.org/W2745261881","https://openalex.org/W2596824371","https://openalex.org/W119483277","https://openalex.org/W1996826928","https://openalex.org/W2415721549","https://openalex.org/W2949436252","https://openalex.org/W1971197367","https://openalex.org/W2587991115","https://openalex.org/W2107555698","https://openalex.org/W140737474","https://openalex.org/W2949957598","https://openalex.org/W3122509924","https://openalex.org/W2770455315","https://openalex.org/W3036003939","https://openalex.org/W2508310922","https://openalex.org/W3125988203","https://openalex.org/W3100479849","https://openalex.org/W2074168675","https://openalex.org/W2540238269","https://openalex.org/W2099162968"],"abstract_inverted_index":{"The":[0,20,60],"paper":[1],"studies":[2],"both":[3],"the":[4,44,53,74,90,99,102,116,121,143],"convexity":[5,100,117],"and":[6,89],"average-convexity":[7,122],"properties":[8],"for":[9,124],"a":[10,25,31,49,113,125,135],"particular":[11],"class":[12],"of":[13,101,115,138],"cooperative":[14,126],"TU-games":[15],"called":[16],"common":[17,21,54,103,139],"pool":[18,22,55,104,140],"games.":[19,59],"situation":[23],"involves":[24],"cost":[26,46,65,75],"function":[27,47,94,147],"as":[28,30,82,84,120],"well":[29,83],"(weakly":[32],"decreasing)":[33],"average":[34,87,91,144],"joint":[35,92,145],"production":[36,93,146],"function.":[37,152],"Firstly,":[38],"it":[39],"is":[40,48,109],"shown":[41],"that,":[42],"if":[43],"relevant":[45],"linear":[50],"function,":[51],"then":[52],"games":[56,133,141],"are":[57,67,134],"convex":[58],"convexity,":[61],"however,":[62],"fails":[63],"whenever":[64,142],"functions":[66,76],"arbitrary.":[68],"We":[69],"present":[70],"sufficient":[71],"conditions":[72],"involving":[73],"(like":[77],"weakly":[78,85],"decreasing":[79,86],"marginal":[80],"costs":[81],"costs)":[88],"in":[95],"order":[96],"to":[97,111],"guarantee":[98],"game.":[105,127],"A":[106],"similar":[107],"approach":[108],"effective":[110],"investigate":[112],"relaxation":[114],"property":[118,123],"known":[119],"An":[128],"example":[129],"illustrates":[130],"that":[131],"oligopoly":[132],"special":[136],"case":[137],"represents":[148],"an":[149],"inverse":[150],"demand":[151]},"counts_by_year":[],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2025-10-10T00:00:00"}
