{"id":"https://openalex.org/W2137097622","doi":"https://doi.org/10.1145/2841228","title":"Network Cost-Sharing without Anonymity","display_name":"Network Cost-Sharing without Anonymity","publication_year":2016,"publication_date":"2016-02-03","ids":{"openalex":"https://openalex.org/W2137097622","doi":"https://doi.org/10.1145/2841228","mag":"2137097622"},"language":"en","primary_location":{"id":"doi:10.1145/2841228","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2841228","pdf_url":null,"source":{"id":"https://openalex.org/S4210173995","display_name":"ACM Transactions on Economics and Computation","issn_l":"2167-8375","issn":["2167-8375","2167-8383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Economics and Computation","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/A5022886322","display_name":"Tim Roughgarden","orcid":"https://orcid.org/0000-0002-7163-8306"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tim Roughgarden","raw_affiliation_strings":["Stanford University, Stanford, CA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046785442","display_name":"Okke Schrijvers","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Okke Schrijvers","raw_affiliation_strings":["Stanford University, Stanford, CA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022886322"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":15.0921,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.98453334,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"4","issue":"2","first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9987999796867371,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9987999796867371,"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":0.9975000023841858,"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/T11031","display_name":"Game Theory and Applications","score":0.9972000122070312,"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/submodular-set-function","display_name":"Submodular set function","score":0.7863079309463501},{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.651168167591095},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5669602751731873},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5370274186134338},{"id":"https://openalex.org/keywords/anonymity","display_name":"Anonymity","score":0.5367521047592163},{"id":"https://openalex.org/keywords/inefficiency","display_name":"Inefficiency","score":0.5112683773040771},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4925850033760071},{"id":"https://openalex.org/keywords/price-of-anarchy","display_name":"Price of anarchy","score":0.48480024933815},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48177072405815125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43943700194358826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41919419169425964},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41271576285362244},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3782758414745331},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.25559869408607483},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14653819799423218},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13992145657539368},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.08432462811470032}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.7863079309463501},{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.651168167591095},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5669602751731873},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5370274186134338},{"id":"https://openalex.org/C178005623","wikidata":"https://www.wikidata.org/wiki/Q308859","display_name":"Anonymity","level":2,"score":0.5367521047592163},{"id":"https://openalex.org/C2778869765","wikidata":"https://www.wikidata.org/wiki/Q6028363","display_name":"Inefficiency","level":2,"score":0.5112683773040771},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4925850033760071},{"id":"https://openalex.org/C82149807","wikidata":"https://www.wikidata.org/wiki/Q7242623","display_name":"Price of anarchy","level":4,"score":0.48480024933815},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48177072405815125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43943700194358826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41919419169425964},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41271576285362244},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3782758414745331},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.25559869408607483},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14653819799423218},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13992145657539368},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.08432462811470032},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C188466206","wikidata":"https://www.wikidata.org/wiki/Q7242626","display_name":"Price of stability","level":3,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C126285488","wikidata":"https://www.wikidata.org/wiki/Q178476","display_name":"Monetary policy","level":2,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2841228","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2841228","pdf_url":null,"source":{"id":"https://openalex.org/S4210173995","display_name":"ACM Transactions on Economics and Computation","issn_l":"2167-8375","issn":["2167-8375","2167-8383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Economics and Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.703.7240","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.703.7240","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://theory.stanford.edu/%7Etim/papers/nonanon.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W197281699","https://openalex.org/W596079477","https://openalex.org/W1494325299","https://openalex.org/W1499377038","https://openalex.org/W1519411016","https://openalex.org/W1533368239","https://openalex.org/W1544203918","https://openalex.org/W1558409237","https://openalex.org/W1583864908","https://openalex.org/W1620314949","https://openalex.org/W1870956571","https://openalex.org/W1969212926","https://openalex.org/W1972645710","https://openalex.org/W1991307017","https://openalex.org/W1992071237","https://openalex.org/W2007583146","https://openalex.org/W2010064710","https://openalex.org/W2013391976","https://openalex.org/W2014925795","https://openalex.org/W2024234219","https://openalex.org/W2027725119","https://openalex.org/W2034019401","https://openalex.org/W2038644905","https://openalex.org/W2076641899","https://openalex.org/W2077616196","https://openalex.org/W2086084048","https://openalex.org/W2095094403","https://openalex.org/W2099967914","https://openalex.org/W2110243058","https://openalex.org/W2113529747","https://openalex.org/W2113726644","https://openalex.org/W2124332176","https://openalex.org/W2146457340","https://openalex.org/W2161428096","https://openalex.org/W2161641787","https://openalex.org/W2162057799","https://openalex.org/W2164115065","https://openalex.org/W2171779188","https://openalex.org/W2172152464","https://openalex.org/W2180145689","https://openalex.org/W2216069677","https://openalex.org/W2251356912","https://openalex.org/W2493238591","https://openalex.org/W2497061186","https://openalex.org/W2561675875","https://openalex.org/W2949547757","https://openalex.org/W3022321359","https://openalex.org/W3123380468","https://openalex.org/W4243096188","https://openalex.org/W4298404569"],"related_works":["https://openalex.org/W1595919516","https://openalex.org/W2945022594","https://openalex.org/W2966531942","https://openalex.org/W2194604332","https://openalex.org/W2108516916","https://openalex.org/W2061191605","https://openalex.org/W2089041911","https://openalex.org/W2964322278","https://openalex.org/W4234867169","https://openalex.org/W1975388665"],"abstract_inverted_index":{"We":[0],"consider":[1],"network":[2,100,158],"cost-sharing":[3,101,146,159,166],"games":[4,55,102,160],"with":[5,103],"nonanonymous":[6,104],"cost":[7,11,24,32,90,105,115],"functions,":[8,106],"where":[9,185],"the":[10,28,37,89,109,129,154,174,188],"of":[12,19,47,61,67,91,112,145,157,190,199],"each":[13],"edge":[14],"is":[15,25,70,170,187,193],"a":[16,143,149],"submodular":[17,114],"function":[18,97,197],"its":[20],"users,":[21],"and":[22,51,95,127,135,165,192],"this":[23,68],"shared":[26],"using":[27],"Shapley":[29],"value.":[30],"Nonanonymous":[31],"functions":[33],"model":[34],"asymmetries":[35],"between":[36],"players,":[38,191],"which":[39],"can":[40,56],"arise":[41],"from":[42],"different":[43],"bandwidth":[44],"requirements,":[45],"durations":[46],"use,":[48],"services":[49],"needed,":[50],"so":[52],"on.":[53],"These":[54,117],"possess":[57],"multiple":[58],"Nash":[59,93],"equilibria":[60,94],"wildly":[62],"varying":[63],"quality.":[64],"The":[65],"goal":[66],"article":[69],"to":[71,138],"identify":[72],"well-motivated":[73],"equilibrium":[74],"refinements":[75],"that":[76],"admit":[77],"good":[78],"worst-case":[79,119,155],"approximation":[80],"bounds.":[81],"Our":[82],"primary":[83],"results":[84],"are":[85],"tight":[86],"bounds":[87,120],"on":[88],"strong":[92],"potential":[96],"minimizers":[98],"in":[99,133,142],"parameterized":[107],"by":[108],"set":[110,124],"C":[111,125],"allowable":[113],"functions.":[116],"two":[118,162],"coincide":[121],"for":[122,195],"every":[123],",":[126,184],"equal":[128],"summability":[130],"parameter":[131,151,169],"introduced":[132],"Roughgarden":[134],"Sundararajan":[136],"[2009]":[137],"characterize":[139],"efficiency":[140],"loss":[141],"family":[144],"mechanisms.":[147,167],"Thus,":[148],"single":[150],"simultaneously":[152],"governs":[153],"inefficiency":[156],"(in":[161],"incomparable":[163],"senses)":[164],"This":[168],"always":[171],"at":[172],"most":[173],"k":[175,180,183,186],"th":[176],"Harmonic":[177],"number":[178,189],"H":[179],"\u2248":[181],"ln":[182],"constant":[194],"many":[196],"classes":[198],"interest.":[200]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}