{"id":"https://openalex.org/W2072946155","doi":"https://doi.org/10.1145/1566374.1566418","title":"The price of anarchy in bertrand games","display_name":"The price of anarchy in bertrand games","publication_year":2009,"publication_date":"2009-07-06","ids":{"openalex":"https://openalex.org/W2072946155","doi":"https://doi.org/10.1145/1566374.1566418","mag":"2072946155"},"language":"en","primary_location":{"id":"doi:10.1145/1566374.1566418","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1566374.1566418","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 10th ACM conference on Electronic commerce","raw_type":"proceedings-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/A5005407267","display_name":"Shuchi Chawla","orcid":"https://orcid.org/0000-0001-5583-2320"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shuchi Chawla","raw_affiliation_strings":["University of Wisconsin-Madison, Madison, WI, USA"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039949603","display_name":"Feng Niu","orcid":"https://orcid.org/0000-0003-2465-647X"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Feng Niu","raw_affiliation_strings":["University of Wisconsin-Madison, Madison, WI, USA"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005407267"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":2.4962,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.89471013,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"305","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9954000115394592,"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/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/price-of-anarchy","display_name":"Price of anarchy","score":0.7263613343238831},{"id":"https://openalex.org/keywords/selfishness","display_name":"Selfishness","score":0.6101760864257812},{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.5442663431167603},{"id":"https://openalex.org/keywords/bertrand-competition","display_name":"Bertrand competition","score":0.5374979972839355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5308030247688293},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.52027827501297},{"id":"https://openalex.org/keywords/service-provider","display_name":"Service provider","score":0.5137532949447632},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5012576580047607},{"id":"https://openalex.org/keywords/the-internet","display_name":"The Internet","score":0.4255712032318115},{"id":"https://openalex.org/keywords/internet-service-provider","display_name":"Internet service provider","score":0.4181833267211914},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.3782152831554413},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3598611354827881},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3349687457084656},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3342243432998657},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.265342652797699},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.21120670437812805},{"id":"https://openalex.org/keywords/price-of-stability","display_name":"Price of stability","score":0.1964494287967682},{"id":"https://openalex.org/keywords/oligopoly","display_name":"Oligopoly","score":0.14485254883766174},{"id":"https://openalex.org/keywords/cournot-competition","display_name":"Cournot competition","score":0.12322232127189636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11721339821815491},{"id":"https://openalex.org/keywords/marketing","display_name":"Marketing","score":0.11030155420303345}],"concepts":[{"id":"https://openalex.org/C82149807","wikidata":"https://www.wikidata.org/wiki/Q7242623","display_name":"Price of anarchy","level":4,"score":0.7263613343238831},{"id":"https://openalex.org/C2778841147","wikidata":"https://www.wikidata.org/wiki/Q36381317","display_name":"Selfishness","level":2,"score":0.6101760864257812},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.5442663431167603},{"id":"https://openalex.org/C142470991","wikidata":"https://www.wikidata.org/wiki/Q828555","display_name":"Bertrand competition","level":4,"score":0.5374979972839355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5308030247688293},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.52027827501297},{"id":"https://openalex.org/C116537","wikidata":"https://www.wikidata.org/wiki/Q2169973","display_name":"Service provider","level":3,"score":0.5137532949447632},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5012576580047607},{"id":"https://openalex.org/C110875604","wikidata":"https://www.wikidata.org/wiki/Q75","display_name":"The Internet","level":2,"score":0.4255712032318115},{"id":"https://openalex.org/C2986707884","wikidata":"https://www.wikidata.org/wiki/Q11371","display_name":"Internet service provider","level":3,"score":0.4181833267211914},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.3782152831554413},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3598611354827881},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3349687457084656},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3342243432998657},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.265342652797699},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.21120670437812805},{"id":"https://openalex.org/C188466206","wikidata":"https://www.wikidata.org/wiki/Q7242626","display_name":"Price of stability","level":3,"score":0.1964494287967682},{"id":"https://openalex.org/C121398111","wikidata":"https://www.wikidata.org/wiki/Q103639","display_name":"Oligopoly","level":3,"score":0.14485254883766174},{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.12322232127189636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11721339821815491},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.11030155420303345},{"id":"https://openalex.org/C126285488","wikidata":"https://www.wikidata.org/wiki/Q178476","display_name":"Monetary policy","level":2,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C556758197","wikidata":"https://www.wikidata.org/wiki/Q580018","display_name":"Monetary economics","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1566374.1566418","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1566374.1566418","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 10th ACM conference on Electronic commerce","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.188.617","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.188.617","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.wisc.edu/%7Eshuchi/papers/Bertrand-EC09.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1597315720","https://openalex.org/W1600999481","https://openalex.org/W1786177259","https://openalex.org/W1966298355","https://openalex.org/W2027725119","https://openalex.org/W2097555118","https://openalex.org/W2097568888","https://openalex.org/W2099481767","https://openalex.org/W2110155180","https://openalex.org/W2110373679","https://openalex.org/W2112269231","https://openalex.org/W2121907157","https://openalex.org/W2123733911","https://openalex.org/W2140529492","https://openalex.org/W2144615311","https://openalex.org/W2156307401","https://openalex.org/W2167101557","https://openalex.org/W2216069677","https://openalex.org/W3121324133","https://openalex.org/W3121701465","https://openalex.org/W4297563113","https://openalex.org/W6674661305","https://openalex.org/W7058505135"],"related_works":["https://openalex.org/W2039301641","https://openalex.org/W4376854896","https://openalex.org/W2052036526","https://openalex.org/W2099007327","https://openalex.org/W2134891947","https://openalex.org/W145217895","https://openalex.org/W2997462103","https://openalex.org/W4290667640","https://openalex.org/W2016734437","https://openalex.org/W2140356130"],"abstract_inverted_index":{"The":[0],"Internet":[1],"is":[2],"composed":[3],"of":[4,43,45,85,87],"multiple":[5],"economically-independent":[6],"service":[7,60,120],"providers":[8,61,121],"that":[9,124],"sell":[10],"bandwidth":[11],"in":[12,109,139],"their":[13,19,28,33,68,76,128],"networks":[14],"so":[15],"as":[16],"to":[17,31,65,74,92,141],"maximize":[18,32],"own":[20,34],"revenue.":[21],"Users,":[22],"on":[23,67,82,106,127],"the":[24,41,46,83,88,100,135],"other":[25],"hand,":[26],"route":[27,75],"traffic":[29,101],"selfishly":[30],"utility.":[35],"How":[36],"does":[37],"this":[38,50],"selfishness":[39],"impact":[40],"efficiency":[42],"operation":[44],"network?":[47],"To":[48],"answer":[49],"question":[51],"we":[52],"consider":[53],"a":[54],"two-stage":[55],"network":[56,107,142],"pricing":[57,111],"game":[58,89,112,138],"where":[59],"first":[62],"select":[63],"prices":[64],"charge":[66],"links,":[69],"and":[70],"users":[71,113],"pick":[72],"paths":[73],"traffic.":[77],"We":[78],"give":[79],"tight":[80],"bounds":[81],"price":[84],"anarchy":[86],"with":[90],"respect":[91],"social":[93],"value--the":[94],"total":[95],"value":[96],"obtained":[97],"by":[98],"all":[99],"routed.":[102],"Unlike":[103],"recent":[104],"work":[105],"pricing,":[108],"our":[110],"do":[114],"not":[115],"face":[116],"congestion":[117],"costs;":[118],"instead":[119],"must":[122],"ensure":[123],"capacity":[125],"constraints":[126],"links":[129],"are":[130],"satisfied.":[131],"Our":[132],"model":[133],"extends":[134],"classic":[136],"Bertrand":[137],"economics":[140],"settings.":[143]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}