{"id":"https://openalex.org/W2033687415","doi":"https://doi.org/10.1145/1540358.1540363","title":"A mean field approach to competition in large scale wireless systems","display_name":"A mean field approach to competition in large scale wireless systems","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2033687415","doi":"https://doi.org/10.1145/1540358.1540363","mag":"2033687415"},"language":"en","primary_location":{"id":"doi:10.1145/1540358.1540363","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1540358.1540363","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 MobiHoc S3 workshop on MobiHoc S3 - MobiHoc S3 '09","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/A5027497766","display_name":"Sachin Adlakha","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":true,"raw_author_name":"Sachin Adlakha","raw_affiliation_strings":["Stanford University, Stanford, CA, USA","Stanford University Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042177635","display_name":"Ramesh Johari","orcid":"https://orcid.org/0000-0002-3960-0770"},"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":"Ramesh Johari","raw_affiliation_strings":["Stanford University, Stanford, CA, USA","Stanford University Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091598160","display_name":"Gabriel Y. Weintraub","orcid":"https://orcid.org/0000-0001-6111-507X"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gabriel Weintraub","raw_affiliation_strings":["Columbia University, New York, NY, USA","Columbia University, New York, NY/USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Columbia University, New York, NY/USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074116801","display_name":"Andrea Goldsmith","orcid":"https://orcid.org/0000-0001-5686-800X"},"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":"Andrea Goldsmith","raw_affiliation_strings":["Stanford University, Stanford, CA, USA","Stanford University Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027497766"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.14540596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"13","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9986000061035156,"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":0.9986000061035156,"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/T12137","display_name":"Economic theories and models","score":0.9819999933242798,"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/T12288","display_name":"Optimization and Search Problems","score":0.9743000268936157,"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/computer-science","display_name":"Computer science","score":0.7190808653831482},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.5927140116691589},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5635606646537781},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5608768463134766},{"id":"https://openalex.org/keywords/markov-perfect-equilibrium","display_name":"Markov perfect equilibrium","score":0.5542482733726501},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.5470800995826721},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.5396032929420471},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4987173080444336},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44860202074050903},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.44673773646354675},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4245142638683319},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4096151292324066},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.399664968252182},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17449408769607544},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0899621844291687}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7190808653831482},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.5927140116691589},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5635606646537781},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5608768463134766},{"id":"https://openalex.org/C67091656","wikidata":"https://www.wikidata.org/wiki/Q6771328","display_name":"Markov perfect equilibrium","level":3,"score":0.5542482733726501},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.5470800995826721},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.5396032929420471},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4987173080444336},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44860202074050903},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.44673773646354675},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4245142638683319},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4096151292324066},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.399664968252182},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17449408769607544},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0899621844291687},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1540358.1540363","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1540358.1540363","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 MobiHoc S3 workshop on MobiHoc S3 - MobiHoc S3 '09","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1983321045","https://openalex.org/W2107555698","https://openalex.org/W3023995834"],"related_works":["https://openalex.org/W1660242800","https://openalex.org/W2077211377","https://openalex.org/W2485872624","https://openalex.org/W1006270037","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340","https://openalex.org/W4378447264"],"abstract_inverted_index":{"We":[0,10,74],"study":[1],"competition":[2],"between":[3],"wireless":[4],"devices":[5,23,35,108],"in":[6,24,109],"a":[7],"dynamic":[8],"setting.":[9],"model":[11,83],"such":[12,44],"systems":[13],"as":[14],"non-cooperative":[15],"stochastic":[16,25],"games.":[17,112],"Computing":[18],"the":[19,32,41,55,68,82,86,88,92,103],"equilibrium":[20,90,104],"behavior":[21,105],"of":[22,34,43,71,85,106],"games":[26],"is":[27],"computationally":[28],"prohibitive,":[29],"especially":[30],"when":[31],"number":[33],"are":[36],"large.":[37],"To":[38],"deal":[39],"with":[40],"complexity":[42],"large":[45,110],"scale":[46,111],"systems,":[47],"we":[48],"use":[49,101],"an":[50],"approximate":[51],"solution":[52],"concept":[53],"called":[54],"oblivious":[56,89],"equilibrium,":[57],"(proposed":[58],"by":[59],"Weintraub":[60],"et.":[61],"al)":[62],"where":[63],"each":[64],"device":[65],"reacts":[66],"to":[67,100],"aggregate":[69],"state":[70],"other":[72],"devices.":[73],"show":[75],"that":[76],"under":[77],"some":[78],"structural":[79],"assumptions":[80],"on":[81],"primitives":[84],"game,":[87],"approximates":[91],"actual":[93],"Markov":[94],"perfect":[95],"equilibrium.":[96],"This":[97],"allows":[98],"us":[99],"compute":[102],"these":[107]},"counts_by_year":[{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}