{"id":"https://openalex.org/W2071651269","doi":"https://doi.org/10.1155/2009/354890","title":"Spectrum Allocation for Decentralized Transmission Strategies: Properties of Nash Equilibria","display_name":"Spectrum Allocation for Decentralized Transmission Strategies: Properties of Nash Equilibria","publication_year":2009,"publication_date":"2009-03-26","ids":{"openalex":"https://openalex.org/W2071651269","doi":"https://doi.org/10.1155/2009/354890","mag":"2071651269"},"language":"en","primary_location":{"id":"doi:10.1155/2009/354890","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/354890","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2009/354890","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2009/354890","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073018346","display_name":"Peter von Wrycza","orcid":null},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Peter von Wrycza","raw_affiliation_strings":["Department of Electrical Engineering, ACCESS Linnaeus Centre, Signal Processing Laboratory, Royal Institute of Technology (KTH), SE-100 44, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, ACCESS Linnaeus Centre, Signal Processing Laboratory, Royal Institute of Technology (KTH), SE-100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035099577","display_name":"Mallikarjun Shankar","orcid":"https://orcid.org/0000-0001-5289-7460"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"M. R. Bhavani Shankar","raw_affiliation_strings":["Department of Electrical Engineering, ACCESS Linnaeus Centre, Signal Processing Laboratory, Royal Institute of Technology (KTH), SE-100 44, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, ACCESS Linnaeus Centre, Signal Processing Laboratory, Royal Institute of Technology (KTH), SE-100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011373389","display_name":"Mats Bengtsson","orcid":"https://orcid.org/0000-0002-3599-5584"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Mats Bengtsson","raw_affiliation_strings":["Department of Electrical Engineering, ACCESS Linnaeus Centre, Signal Processing Laboratory, Royal Institute of Technology (KTH), SE-100 44, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, ACCESS Linnaeus Centre, Signal Processing Laboratory, Royal Institute of Technology (KTH), SE-100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080037825","display_name":"Bj\u00f6rn Ottersten","orcid":"https://orcid.org/0000-0003-2298-6774"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["LU","SE"],"is_corresponding":false,"raw_author_name":"Bj\u00f6rn Ottersten","raw_affiliation_strings":["Department of Electrical Engineering, ACCESS Linnaeus Centre, Signal Processing Laboratory, Royal Institute of Technology (KTH), SE-100 44, Stockholm, Sweden","Interdisciplinary Centre for Security, Reliability, and Trust, University of Luxembourg, Luxembourg, 1511, Luxembourg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, ACCESS Linnaeus Centre, Signal Processing Laboratory, Royal Institute of Technology (KTH), SE-100 44, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Interdisciplinary Centre for Security, Reliability, and Trust, University of Luxembourg, Luxembourg, 1511, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073018346"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":{"value":1665,"currency":"USD","value_usd":1665},"apc_paid":{"value":1665,"currency":"USD","value_usd":1665},"fwci":2.3795,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88398561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2009","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12146","display_name":"Power Line Communications and Noise","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T12146","display_name":"Power Line Communications and Noise","score":0.9995999932289124,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9968000054359436,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.7666624784469604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.675495982170105},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6433879137039185},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5803987383842468},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.5023698806762695},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.47067341208457947},{"id":"https://openalex.org/keywords/outcome","display_name":"Outcome (game theory)","score":0.4659695625305176},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.44684097170829773},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.4303137958049774},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.41420820355415344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2592710554599762},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24714481830596924},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.1345934271812439},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11207327246665955}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7666624784469604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.675495982170105},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6433879137039185},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5803987383842468},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.5023698806762695},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.47067341208457947},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.4659695625305176},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.44684097170829773},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.4303137958049774},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.41420820355415344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2592710554599762},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24714481830596924},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.1345934271812439},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11207327246665955},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2009/354890","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/354890","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2009/354890","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:283411728b194b8daa9e9da7a11e6f49","is_oa":true,"landing_page_url":"https://doaj.org/article/283411728b194b8daa9e9da7a11e6f49","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2009 (2009)","raw_type":"article"},{"id":"pmh:oai:orbilu.uni.lu:10993/9155","is_oa":false,"landing_page_url":"https://orbilu.uni.lu/handle/10993/9155","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing (2009)","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":{"id":"doi:10.1155/2009/354890","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/354890","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2009/354890","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2071651269.pdf","grobid_xml":"https://content.openalex.org/works/W2071651269.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1603765807","https://openalex.org/W2002937495","https://openalex.org/W2017148445","https://openalex.org/W2018932238","https://openalex.org/W2067050450","https://openalex.org/W2108680348","https://openalex.org/W2109100253","https://openalex.org/W2113230206","https://openalex.org/W2122962803","https://openalex.org/W2124409123","https://openalex.org/W2149803021","https://openalex.org/W2163844889","https://openalex.org/W2167032653","https://openalex.org/W2172185395","https://openalex.org/W2293033173","https://openalex.org/W2541839268","https://openalex.org/W2610857016"],"related_works":["https://openalex.org/W2236801283","https://openalex.org/W2728657731","https://openalex.org/W2481143976","https://openalex.org/W2092374696","https://openalex.org/W2803932348","https://openalex.org/W3207342620","https://openalex.org/W2803931294","https://openalex.org/W3124356797","https://openalex.org/W2600981374","https://openalex.org/W2111030377"],"abstract_inverted_index":{"The":[0,57,175],"interaction":[1],"of":[2,17,45,52,59,86,125,177],"two":[3,158],"transmit-receive":[4],"pairs":[5],"coexisting":[6],"in":[7,123,146],"the":[8,14,18,38,43,53,72,75,84,92,99,133,154,178,187],"same":[9,15],"area":[10],"and":[11,49,68,71,96,137,184],"communicating":[12],"using":[13,132],"portion":[16],"spectrum":[19],"is":[20,63,79,182],"analyzed":[21],"from":[22],"a":[23,30,47,116,141,147,157],"game":[24,48,118,142,181],"theoretic":[25],"perspective.":[26],"Each":[27],"pair":[28],"utilizes":[29],"decentralized":[31,148,168,180],"iterative":[32,93,134,188],"water-filling":[33,94,135,189],"scheme":[34,95],"to":[35,106,129,156,166,186],"greedily":[36],"maximize":[37],"individual":[39,100],"rate.":[40],"We":[41,82],"study":[42],"dynamics":[44],"such":[46,140],"find":[50],"properties":[51],"resulting":[54],"Nash":[55],"equilibria.":[56],"region":[58,85],"achievable":[60],"operating":[61,121],"points":[62,122],"characterized":[64],"for":[65,91,170],"both":[66],"low-":[67],"high-interference":[69],"systems,":[70],"dependence":[73],"on":[74],"various":[76],"system":[77,112],"parameters":[78],"explicitly":[80],"shown.":[81],"derive":[83],"possible":[87],"signal":[88],"space":[89],"partitioning":[90],"show":[97,138],"how":[98,139],"utility":[101],"functions":[102],"can":[103,143,163],"be":[104,144,164],"modified":[105,117,179],"alter":[107],"its":[108],"range.":[109],"Utilizing":[110],"global":[111],"knowledge,":[113],"we":[114,152],"design":[115,167],"encouraging":[119],"better":[120],"terms":[124],"sum":[126],"rate":[127],"compared":[128,185],"those":[130],"obtained":[131],"algorithm":[136,190],"imitated":[145],"noncooperative":[149],"setting.":[150],"Although":[151],"restrict":[153],"analysis":[155],"player":[159],"game,":[160],"analogous":[161],"concepts":[162],"used":[165],"algorithms":[169],"scenarios":[171],"with":[172],"more":[173],"players.":[174],"performance":[176],"evaluated":[183],"by":[191],"numerical":[192],"simulations.":[193]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}