{"id":"https://openalex.org/W2038382198","doi":"https://doi.org/10.1109/ciss.2012.6310935","title":"Spectrum pricing games with random valuations of secondary users","display_name":"Spectrum pricing games with random valuations of secondary users","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2038382198","doi":"https://doi.org/10.1109/ciss.2012.6310935","mag":"2038382198"},"language":"en","primary_location":{"id":"doi:10.1109/ciss.2012.6310935","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2012.6310935","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 46th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5035128835","display_name":"Gaurav S. Kasbekar","orcid":"https://orcid.org/0000-0002-9381-2803"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I922845939","display_name":"Philadelphia University","ror":"https://ror.org/03zzmyz63","country_code":"US","type":"education","lineage":["https://openalex.org/I922845939"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gaurav S. Kasbekar","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA","Department of Electrical and Systems Engineering at University of Pennsylvania, Philadelphia, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Electrical and Systems Engineering at University of Pennsylvania, Philadelphia, U.S.A","institution_ids":["https://openalex.org/I79576946","https://openalex.org/I922845939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111720851","display_name":"Saswati Sarkar","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I922845939","display_name":"Philadelphia University","ror":"https://ror.org/03zzmyz63","country_code":"US","type":"education","lineage":["https://openalex.org/I922845939"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saswati Sarkar","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA","Department of Electrical and Systems Engineering at University of Pennsylvania, Philadelphia, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Electrical and Systems Engineering at University of Pennsylvania, Philadelphia, U.S.A","institution_ids":["https://openalex.org/I79576946","https://openalex.org/I922845939"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T11499","display_name":"ICT Impact and Policies","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T11031","display_name":"Game Theory and Applications","score":0.9814000129699707,"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/cognitive-radio","display_name":"Cognitive radio","score":0.7279720306396484},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.7174070477485657},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.6022434234619141},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5671351552009583},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5435684323310852},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.5424557328224182},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4483710825443268},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.44812530279159546},{"id":"https://openalex.org/keywords/lease","display_name":"Lease","score":0.4363715350627899},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3198734521865845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3133774995803833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24431723356246948},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15718159079551697},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1519812047481537},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14901047945022583}],"concepts":[{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.7279720306396484},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.7174070477485657},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.6022434234619141},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5671351552009583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5435684323310852},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.5424557328224182},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4483710825443268},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.44812530279159546},{"id":"https://openalex.org/C2779614062","wikidata":"https://www.wikidata.org/wiki/Q716894","display_name":"Lease","level":2,"score":0.4363715350627899},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3198734521865845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3133774995803833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24431723356246948},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15718159079551697},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1519812047481537},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14901047945022583},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ciss.2012.6310935","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2012.6310935","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 46th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1500921919","https://openalex.org/W1832501529","https://openalex.org/W1936826912","https://openalex.org/W1984106325","https://openalex.org/W2007197597","https://openalex.org/W2038382198","https://openalex.org/W2085979825","https://openalex.org/W2097415784","https://openalex.org/W2098012117","https://openalex.org/W2098478158","https://openalex.org/W2101346210","https://openalex.org/W2110667918","https://openalex.org/W2117588937","https://openalex.org/W2117924085","https://openalex.org/W2119109694","https://openalex.org/W2130635539","https://openalex.org/W2139766131","https://openalex.org/W2140003641","https://openalex.org/W2143535483","https://openalex.org/W2144369278","https://openalex.org/W2170315403","https://openalex.org/W2488846068","https://openalex.org/W2494548329","https://openalex.org/W2504767107","https://openalex.org/W3124113862","https://openalex.org/W4249537365","https://openalex.org/W4301881298","https://openalex.org/W6640462963"],"related_works":["https://openalex.org/W3167818451","https://openalex.org/W3034924094","https://openalex.org/W3094954546","https://openalex.org/W1488708774","https://openalex.org/W1982811510","https://openalex.org/W4391100477","https://openalex.org/W4327779705","https://openalex.org/W1513698804","https://openalex.org/W4310560702","https://openalex.org/W2029712093"],"abstract_inverted_index":{"We":[0,70,97],"analyze":[1,71],"price":[2,50,73],"competition":[3,74],"among":[4],"primary":[5,29],"users":[6,59,107],"in":[7,13,91,101,109,113,119,126],"a":[8,17,43,49,76,81],"Cognitive":[9],"Radio":[10],"Network":[11],"(CRN),":[12],"which":[14,36,85,127],"there":[15],"are":[16,63,133],"random":[18,68],"and":[19,46,65,78],"unknown":[20],"number":[21],"of":[22,56,94,104,116,130],"secondary":[23,44,58,106],"users.":[24],"In":[25],"every":[26],"slot,":[27],"each":[28],"has":[30],"unused":[31],"bandwidth":[32,62],"with":[33],"some":[34],"probability,":[35],"it":[37],"would":[38],"like":[39],"to":[40,42,88,123],"lease":[41],"user,":[45],"must":[47],"set":[48],"for":[51,60],"this":[52,72],"bandwidth.":[53],"The":[54],"valuations":[55,103,129],"the":[57,92,102,105,114,117,120,124,128,131],"unit":[61],"independent":[64],"identically":[66],"distributed":[67],"variables.":[69],"as":[75],"game":[77],"explicitly":[79],"compute":[80],"Nash":[82],"Equilibrium":[83],"(NE),":[84],"we":[86],"show":[87,98],"be":[89],"unique":[90],"class":[93],"symmetric":[95],"NE.":[96],"that":[99],"randomness":[100],"results":[108],"significant":[110],"structural":[111],"differences":[112],"strategies":[115],"primaries":[118],"NE":[121],"compared":[122],"case":[125],"secondaries":[132],"constants.":[134]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}