{"id":"https://openalex.org/W3099896668","doi":"https://doi.org/10.1145/2701615","title":"A Bounded Budget Network Creation Game","display_name":"A Bounded Budget Network Creation Game","publication_year":2015,"publication_date":"2015-04-13","ids":{"openalex":"https://openalex.org/W3099896668","doi":"https://doi.org/10.1145/2701615","mag":"3099896668"},"language":"en","primary_location":{"id":"doi:10.1145/2701615","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2701615","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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 Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1111.0554","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015063009","display_name":"Shayan Ehsani","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shayan Ehsani","raw_affiliation_strings":["Sharif University of Technology, Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Sharif University of Technology, Stanford, CA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023466547","display_name":"Saber Shokat Fadaee","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Saber Shokat Fadaee","raw_affiliation_strings":["Sharif University of Technology, Boston, MA, USA"],"affiliations":[{"raw_affiliation_string":"Sharif University of Technology, Boston, MA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054840525","display_name":"MohammadAmin Fazli","orcid":"https://orcid.org/0000-0003-0153-8403"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammadamin Fazli","raw_affiliation_strings":["Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089076722","display_name":"Abbas Mehrabian","orcid":"https://orcid.org/0000-0002-0658-7709"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Abbas Mehrabian","raw_affiliation_strings":["University of Waterloo, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063931712","display_name":"Sina Sadeghian Sadeghabad","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sina Sadeghian Sadeghabad","raw_affiliation_strings":["Sharif University of Technology, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Sharif University of Technology, ON, Canada","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103408882","display_name":"MohammadAli Safari","orcid":"https://orcid.org/0009-0002-4286-6454"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammadali Safari","raw_affiliation_strings":["Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038928621","display_name":"Morteza Saghafian","orcid":"https://orcid.org/0000-0002-4201-5775"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Morteza Saghafian","raw_affiliation_strings":["Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5015063009"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1154,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.94111482,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"4","first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9514999985694885,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7601931691169739},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7174921035766602},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5976727604866028},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5551924109458923},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5455996990203857},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.4691518545150757},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.43233323097229004},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42379218339920044},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.41723254323005676},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3554390072822571},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17604339122772217}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7601931691169739},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7174921035766602},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5976727604866028},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5551924109458923},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5455996990203857},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.4691518545150757},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.43233323097229004},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42379218339920044},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.41723254323005676},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3554390072822571},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17604339122772217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2701615","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2701615","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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 Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1111.0554","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1111.0554","pdf_url":"https://arxiv.org/pdf/1111.0554","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1111.0554","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1111.0554","pdf_url":"https://arxiv.org/pdf/1111.0554","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3099896668.pdf","grobid_xml":"https://content.openalex.org/works/W3099896668.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W161648061","https://openalex.org/W181296567","https://openalex.org/W1526250527","https://openalex.org/W1909433976","https://openalex.org/W1983197449","https://openalex.org/W1985116094","https://openalex.org/W1990305446","https://openalex.org/W1991407520","https://openalex.org/W1999742901","https://openalex.org/W1999762141","https://openalex.org/W2027725119","https://openalex.org/W2032349632","https://openalex.org/W2043905543","https://openalex.org/W2059707428","https://openalex.org/W2080089319","https://openalex.org/W2100642498","https://openalex.org/W2114158004","https://openalex.org/W2115749516","https://openalex.org/W2115927996","https://openalex.org/W2117226423","https://openalex.org/W2121143261","https://openalex.org/W2136453484","https://openalex.org/W2146273102","https://openalex.org/W2148727560","https://openalex.org/W2164412965","https://openalex.org/W2570837385","https://openalex.org/W2594715668","https://openalex.org/W2680307343","https://openalex.org/W4244689644","https://openalex.org/W4248139151","https://openalex.org/W4389615622"],"related_works":["https://openalex.org/W2236801283","https://openalex.org/W2902222102","https://openalex.org/W2728657731","https://openalex.org/W1853631319","https://openalex.org/W2092374696","https://openalex.org/W2481143976","https://openalex.org/W2803932348","https://openalex.org/W3207342620","https://openalex.org/W2607684552","https://openalex.org/W2013767790"],"abstract_inverted_index":{"We":[0,108,131,226],"introduce":[1],"a":[2,12,27,74,95,127,203,209,322],"network":[3,139,273],"creation":[4],"game":[5,63],"in":[6,50,87,111,159,193,221,232,282,313],"which":[7,38],"each":[8,24,31,200,302],"player":[9,303],"(vertex)":[10],"has":[11,26,202,286,321],"fixed":[13],"budget":[14,205,300],"to":[15,18,34,47,73,94,140,211],"establish":[16,208],"links":[17],"other":[19,48,84,106],"players.":[20],"In":[21,66],"this":[22],"model,":[23],"link":[25,210],"unit":[28,204],"price,":[29],"and":[30,83,105,144,178,189,195,243,269],"agent":[32],"tries":[33],"minimize":[35],"its":[36,41,44,142],"cost,":[37],"is":[39,76,97,129,168,185,224,247,304,317],"either":[40,222],"eccentricity":[42],"or":[43,320],"total":[45],"distance":[46,79],"players":[49],"the":[51,56,62,67,70,77,81,88,91,98,103,119,123,133,137,148,163,172,215,233,245,260,264,272,283,299,314],"underlying":[52],"(undirected)":[53],"graph":[54,155,220,281,312],"of":[55,61,100,121,126,136,152,165,217,229,266,301],"created":[57,138],"network.":[58],"Two":[59],"versions":[60,113],"are":[64,175],"studied:":[65],"MAX":[68,194,234],"version,":[69,90,235],"cost":[71,92,135],"incurred":[72,93],"vertex":[75,82,96,104,128,201],"maximum":[78,149,183],"between":[80,102],"vertices,":[85],"and,":[86],"SUM":[89,196,284,315],"sum":[99,164],"distances":[101],"vertices.":[107],"prove":[109,180,277],"that":[110,181,237,258,278,297],"both":[112],"pure":[114],"Nash":[115],"equilibria":[116],"exist,":[117],"but":[118],"problem":[120],"finding":[122],"best":[124],"response":[125],"NP-hard.":[130],"take":[132],"social":[134],"be":[141],"diameter,":[143],"next":[145],"we":[146,179,276,295],"study":[147],"possible":[150],"diameter":[151,184,216,246,265,287,323],"an":[153],"equilibrium":[154,173,219,230,267,280,311],"with":[156],"n":[157,169,187,191,249,291],"vertices":[158,239],"various":[160],"cases.":[161],"When":[162,199],"players\u2019":[166],"budgets":[167,242,261],"\u2212":[170],"1,":[171],"graphs":[174,231,268],"always":[176],"trees,":[177],"their":[182],"\u0398(":[186],")":[188,192,292],"\u0398(log":[190],"versions,":[197],"respectively.":[198],"(i.e.,":[206],"can":[207],"just":[212],"one":[213],"vertex),":[214],"any":[218],"version":[223,285,316],"\u0398(1).":[225],"give":[227],"examples":[228],"such":[236],"all":[238],"have":[240],"positive":[241],"yet":[244],"\u03a9(\u221alog":[248],").":[250],"This":[251],"interesting":[252],"(and":[253],"perhaps":[254],"counterintuitive)":[255],"result":[256],"shows":[257],"increasing":[259],"may":[262],"increase":[263],"hence":[270],"deteriorate":[271],"structure.":[274],"Then":[275],"every":[279,310],"2":[288],"O":[289],"(\u221alog":[290],".":[293],"Finally,":[294],"show":[296],"if":[298],"at":[305],"least":[306],"k":[307,318],",":[308],"then":[309],"-connected":[319],"smaller":[324],"than":[325],"4.":[326]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}