{"id":"https://openalex.org/W4205199998","doi":"https://doi.org/10.1109/lcomm.2021.3137286","title":"Non-Uniform Pricing and Resource Allocation Economics for HetNet Based on Stackelberg Game","display_name":"Non-Uniform Pricing and Resource Allocation Economics for HetNet Based on Stackelberg Game","publication_year":2021,"publication_date":"2021-12-21","ids":{"openalex":"https://openalex.org/W4205199998","doi":"https://doi.org/10.1109/lcomm.2021.3137286"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2021.3137286","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2021.3137286","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Communications Letters","raw_type":"journal-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/A5101619150","display_name":"Miao Li","orcid":"https://orcid.org/0000-0001-6738-3980"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Miao Li","raw_affiliation_strings":["School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China. (e-mail: miaoli@hust.edu.cn)"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China. (e-mail: miaoli@hust.edu.cn)","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040872496","display_name":"Yixue Hao","orcid":"https://orcid.org/0000-0001-7296-2522"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yixue Hao","raw_affiliation_strings":["School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100343712","display_name":"Yin Zhang\u22c6","orcid":"https://orcid.org/0000-0002-1772-0763"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yin Zhang","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100337209","display_name":"Min Chen","orcid":"https://orcid.org/0000-0002-0960-4447"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Chen","raw_affiliation_strings":["School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101619150"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":0.8022,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.72572504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"26","issue":"3","first_page":"632","last_page":"636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9994999766349792,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9994999766349792,"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/T13553","display_name":"Age of Information Optimization","score":0.9973999857902527,"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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.9919000267982483,"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/femtocell","display_name":"Femtocell","score":0.9765741229057312},{"id":"https://openalex.org/keywords/stackelberg-competition","display_name":"Stackelberg competition","score":0.9720157384872437},{"id":"https://openalex.org/keywords/macrocell","display_name":"Macrocell","score":0.9699506759643555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.70069420337677},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5384727716445923},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5203075408935547},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.517085075378418},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.5092026591300964},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4980764389038086},{"id":"https://openalex.org/keywords/heterogeneous-network","display_name":"Heterogeneous network","score":0.49334993958473206},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14903903007507324},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.13636797666549683},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.1223168671131134},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.12093997001647949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.10396179556846619}],"concepts":[{"id":"https://openalex.org/C152504517","wikidata":"https://www.wikidata.org/wiki/Q572455","display_name":"Femtocell","level":3,"score":0.9765741229057312},{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.9720157384872437},{"id":"https://openalex.org/C2778291847","wikidata":"https://www.wikidata.org/wiki/Q1163937","display_name":"Macrocell","level":3,"score":0.9699506759643555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.70069420337677},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5384727716445923},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5203075408935547},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.517085075378418},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.5092026591300964},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4980764389038086},{"id":"https://openalex.org/C158207573","wikidata":"https://www.wikidata.org/wiki/Q5747224","display_name":"Heterogeneous network","level":4,"score":0.49334993958473206},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14903903007507324},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.13636797666549683},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.1223168671131134},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.12093997001647949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10396179556846619}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2021.3137286","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2021.3137286","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G3499157131","display_name":null,"funder_award_id":"2021XXJS107","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4728852371","display_name":null,"funder_award_id":"61802138","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G986807420","display_name":null,"funder_award_id":"62172079","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2795257846","https://openalex.org/W2807102958","https://openalex.org/W2886088331","https://openalex.org/W2909843364","https://openalex.org/W2959640473","https://openalex.org/W2963096242","https://openalex.org/W2971246517","https://openalex.org/W2987840032","https://openalex.org/W3043534913","https://openalex.org/W3112073723"],"related_works":["https://openalex.org/W2040311827","https://openalex.org/W2034139677","https://openalex.org/W2206637726","https://openalex.org/W1519632632","https://openalex.org/W2100031696","https://openalex.org/W2062756478","https://openalex.org/W1499498562","https://openalex.org/W4205199998","https://openalex.org/W1987099914","https://openalex.org/W2727195659"],"abstract_inverted_index":{"With":[0],"the":[1,4,10,13,15,19,31,37,43,48,68,100,107,117,120,124,133,136,156,174,184,195],"popularization":[2],"of":[3,30,47,123,138,146,173],"two-layer":[5],"distributed":[6],"heterogeneous":[7,20],"network":[8,21],"between":[9],"macrocell":[11,38,49],"and":[12,25,84,98,135,165],"femtocell,":[14],"interference":[16,29],"problem":[17,102],"in":[18,95,103],"will":[22],"become":[23],"more":[24,26],"complex.":[27],"The":[28],"femtocell":[32,85,126,151],"base":[33,39],"station":[34,40],"(FBS)":[35],"to":[36,60,66,72,155,187,194],"(MBS)":[41],"limits":[42],"achievable":[44],"rate":[45],"throughput":[46],"system.":[50],"In":[51,70,106,116],"this":[52,74,190],"letter,":[53],"a":[54,62,143,178],"two-stage":[55],"Stackelberg":[56,171,175],"game":[57],"was":[58,77],"used":[59],"design":[61],"non-uniform":[63,179],"pricing":[64,180,197],"scheme":[65,191],"solve":[67,99],"problem.":[69],"order":[71],"get":[73,130,170],"scheme,":[75],"it":[76],"first":[78,108],"made":[79,142],"that":[80,189],"MBS":[81,110],"management":[82,111],"platform":[83,112],"system":[86,127],"are":[87,162],"equivalent.":[88],"Then":[89],"we":[90,169],"set":[91],"an":[92],"incentive":[93],"mechanism":[94],"both":[96],"stages,":[97],"optimization":[101],"two":[104,160],"stages.":[105],"stage,":[109,119],"charged":[113],"for":[114,149],"interference.":[115],"second":[118],"total":[121,157],"benefit":[122,137],"entire":[125],"could":[128],"be":[129],"based":[131],"on":[132],"cost":[134],"each":[139,150],"femtocell.":[140],"FBS":[141],"reasonable":[144],"allocation":[145],"transmission":[147],"power":[148],"user":[152],"(FUE)":[153],"according":[154],"benefit.":[158],"These":[159],"stages":[161],"mutually":[163,166],"constrained":[164],"supportive.":[167],"Finally,":[168],"equilibrium":[172],"Game":[176],"as":[177],"scheme.":[181,198],"We":[182],"use":[183],"simulation":[185],"experiment":[186],"prove":[188],"is":[192],"superior":[193],"uniform":[196]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
