{"id":"https://openalex.org/W2283697644","doi":"https://doi.org/10.1109/gamenets.2009.5137432","title":"Competitive optimization of cognitive radio MIMO systems via game theory","display_name":"Competitive optimization of cognitive radio MIMO systems via game theory","publication_year":2009,"publication_date":"2009-05-01","ids":{"openalex":"https://openalex.org/W2283697644","doi":"https://doi.org/10.1109/gamenets.2009.5137432","mag":"2283697644"},"language":"en","primary_location":{"id":"doi:10.1109/gamenets.2009.5137432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gamenets.2009.5137432","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Conference on Game Theory for Networks","raw_type":"proceedings-article"},"type":"book-chapter","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/A5041765559","display_name":"Gesualdo Scutari","orcid":"https://orcid.org/0000-0002-6453-6870"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Gesualdo Scutari","raw_affiliation_strings":["Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong, China","Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology, Hong Kong#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology, Hong Kong#TAB#","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054606088","display_name":"Daniel P. Palomar","orcid":"https://orcid.org/0000-0001-5250-4874"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Daniel P. Palomar","raw_affiliation_strings":["Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong, China","Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology, Hong Kong#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Department of Electronic and Computer Engineering, the Hong Kong University of Science and Technology, Hong Kong#TAB#","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084159640","display_name":"Sergio Barbarossa","orcid":"https://orcid.org/0000-0001-9846-8741"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sergio Barbarossa","raw_affiliation_strings":["INFOCOM Department, University of Roma La Sapienza, Rome, Italy","INFOCOM Department, the Sapienza University of Rome, Italy"],"affiliations":[{"raw_affiliation_string":"INFOCOM Department, University of Roma La Sapienza, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"INFOCOM Department, the Sapienza University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041765559"],"corresponding_institution_ids":["https://openalex.org/I200769079"],"apc_list":null,"apc_paid":null,"fwci":0.3625,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69173086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"452","last_page":"461"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9778000116348267,"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/cognitive-radio","display_name":"Cognitive radio","score":0.7217499017715454},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.676232099533081},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.659207820892334},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5607805252075195},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4995570182800293},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.46041518449783325},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4427972137928009},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.42444974184036255},{"id":"https://openalex.org/keywords/potential-game","display_name":"Potential game","score":0.4159456491470337},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.41303178668022156},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.38403356075286865},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.37973546981811523},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.34314244985580444},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.29493969678878784},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.22180253267288208},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18449902534484863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1787550449371338}],"concepts":[{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.7217499017715454},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.676232099533081},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.659207820892334},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5607805252075195},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4995570182800293},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.46041518449783325},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4427972137928009},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.42444974184036255},{"id":"https://openalex.org/C2778079155","wikidata":"https://www.wikidata.org/wiki/Q288500","display_name":"Potential game","level":3,"score":0.4159456491470337},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.41303178668022156},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.38403356075286865},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.37973546981811523},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.34314244985580444},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.29493969678878784},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.22180253267288208},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18449902534484863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1787550449371338},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/gamenets.2009.5137432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gamenets.2009.5137432","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Conference on Game Theory for Networks","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/169580","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/169580","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"","raw_type":"info:eu-repo/semantics/bookPart"},{"id":"pmh:oai:iris.uniroma1.it:11573/186081","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?eid=2-s2.0-70349978593&partnerID=65&md5=88178037ccde821843ac4a5672df91f2","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-46434","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-46434","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Conference paper"},{"id":"pmh:oai:repository.ust.hk:1783.1-46434","is_oa":false,"landing_page_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000274558900057","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference paper"},{"id":"mag:2283697644","is_oa":false,"landing_page_url":"http://repository.ust.hk/ir/Record/1783.1-16127","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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1989873462","https://openalex.org/W2061992737","https://openalex.org/W2071707134","https://openalex.org/W2100553541","https://openalex.org/W2108680348","https://openalex.org/W2112996088","https://openalex.org/W2115300267","https://openalex.org/W2118809092","https://openalex.org/W2120445834","https://openalex.org/W2124409123","https://openalex.org/W2124590431","https://openalex.org/W2127593435","https://openalex.org/W2127886694","https://openalex.org/W2144000019","https://openalex.org/W2147077179","https://openalex.org/W2149803021","https://openalex.org/W2153620960","https://openalex.org/W2161272050","https://openalex.org/W2166977026","https://openalex.org/W2167032653","https://openalex.org/W2610471112"],"related_works":["https://openalex.org/W2138912443","https://openalex.org/W2115300267","https://openalex.org/W2377672215","https://openalex.org/W2006247455","https://openalex.org/W2073744844","https://openalex.org/W3005271225","https://openalex.org/W1982597307","https://openalex.org/W2035579432","https://openalex.org/W2121285295","https://openalex.org/W2804568154","https://openalex.org/W2889377357","https://openalex.org/W1573834243","https://openalex.org/W1964927439","https://openalex.org/W2340346292","https://openalex.org/W2043374957","https://openalex.org/W2952151447","https://openalex.org/W3042227168","https://openalex.org/W2080560113","https://openalex.org/W2044350590","https://openalex.org/W2900935782"],"abstract_inverted_index":{"The":[0],"concept":[1],"of":[2,23,31,77,138,148,152,171,177,184,204],"cognitive":[3,56,190],"radio":[4,191],"(CR)":[5],"has":[6],"recently":[7],"received":[8],"great":[9],"attention":[10],"from":[11],"the":[12,24,29,39,73,82,91,96,114,118,142,149,154,164,168,178,185,205],"researchers'":[13],"community":[14],"as":[15,103,194],"a":[16,47,104,135],"promising":[17],"paradigm":[18],"to":[19,54,116],"achieve":[20],"efficient":[21],"use":[22],"frequency":[25],"resource":[26,97],"by":[27,85],"allowing":[28],"coexistence":[30],"licensed":[32],"(primary)":[33],"and":[34,144,160,207],"unlicensed":[35],"(secondary)":[36],"users":[37,65,87,102],"in":[38,59],"same":[40],"bandwidth.":[41],"In":[42],"this":[43],"paper,":[44],"we":[45],"propose":[46],"distributed":[48,159,196],"approach":[49],"based":[50,174],"on":[51,72],"game":[52],"theory":[53],"design":[55],"MIMO":[57,124],"transceiver":[58],"hierarchical":[60],"CR":[61],"networks,":[62],"where":[63,108],"primary":[64],"establish":[66],"null":[67],"and/or":[68,129],"soft":[69],"shaping":[70,131],"constraints":[71],"transmit":[74,127],"covariance":[75],"matrix":[76],"secondary":[78,86,101],"users,":[79,206],"so":[80],"that":[81,140],"interference":[83],"generated":[84],"be":[88],"confined":[89],"within":[90],"interference-temperature":[92,179],"limits.":[93],"We":[94,133],"formulate":[95],"allocation":[98],"problem":[99],"among":[100],"strategic":[105],"noncooperative":[106],"game,":[107],"each":[109],"transmit/receive":[110],"pair":[111],"competes":[112],"against":[113,199],"others":[115],"maximize":[117],"information":[119],"rate":[120],"over":[121],"his":[122],"own":[123],"channel,":[125],"under":[126],"power":[128],"null/soft":[130],"constraints.":[132],"provide":[134],"unified":[136],"set":[137],"conditions":[139],"guarantee":[141],"uniqueness":[143],"global":[145],"asymptotic":[146],"stability":[147],"Nash":[150],"equilibrium":[151],"all":[153],"proposed":[155,165],"games":[156],"through":[157],"totally":[158],"asynchronous":[161],"algorithms.":[162],"Interestingly,":[163],"algorithms":[166],"overcome":[167],"main":[169],"drawback":[170],"classical":[172],"waterfilling":[173],"algorithms-the":[175],"violation":[176],"limits-and":[180],"they":[181],"have":[182],"many":[183],"desired":[186],"features":[187],"required":[188],"for":[189],"applications,":[192],"such":[193],"low-complexity,":[195],"nature,":[197],"robustness":[198],"missing":[200],"or":[201],"outdated":[202],"updates":[203],"fast":[208],"convergence":[209],"behavior.":[210]},"counts_by_year":[],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}