{"id":"https://openalex.org/W2274894313","doi":"https://doi.org/10.1109/jsac.2016.2577278","title":"Pricing and Resource Allocation via Game Theory for a Small-Cell Video Caching System","display_name":"Pricing and Resource Allocation via Game Theory for a Small-Cell Video Caching System","publication_year":2016,"publication_date":"2016-06-06","ids":{"openalex":"https://openalex.org/W2274894313","doi":"https://doi.org/10.1109/jsac.2016.2577278","mag":"2274894313"},"language":"en","primary_location":{"id":"doi:10.1109/jsac.2016.2577278","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.2016.2577278","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Journal on Selected Areas in Communications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1602.06063","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jun Li","orcid":null},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Li","raw_affiliation_strings":["School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":null,"display_name":"He Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"He Chen","raw_affiliation_strings":["School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Youjia Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Youjia Chen","raw_affiliation_strings":["School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zihuai Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Zihuai Lin","raw_affiliation_strings":["School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Branka Vucetic","orcid":null},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Branka Vucetic","raw_affiliation_strings":["School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":null,"display_name":"Lajos Hanzo","orcid":null},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lajos Hanzo","raw_affiliation_strings":["Department of Electronics and Computer Science, University of Southampton, Southampton, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Computer Science, University of Southampton, Southampton, U.K","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":25.4976,"has_fulltext":false,"cited_by_count":151,"citation_normalized_percentile":{"value":0.99674219,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"34","issue":"8","first_page":"2115","last_page":"2129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.9484999775886536,"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/T11478","display_name":"Caching and Content Delivery","score":0.9484999775886536,"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/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.01759999990463257,"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.003800000064074993,"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/stackelberg-competition","display_name":"Stackelberg competition","score":0.8497999906539917},{"id":"https://openalex.org/keywords/upload","display_name":"Upload","score":0.6500999927520752},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.5092999935150146},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5042999982833862},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.4893999993801117},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.45559999346733093},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.4438999891281128},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.39590001106262207},{"id":"https://openalex.org/keywords/profit","display_name":"Profit (economics)","score":0.3792000114917755}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8725000023841858},{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.8497999906539917},{"id":"https://openalex.org/C71901391","wikidata":"https://www.wikidata.org/wiki/Q7126699","display_name":"Upload","level":2,"score":0.6500999927520752},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.572700023651123},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.5092999935150146},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5042999982833862},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.4893999993801117},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.45559999346733093},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.4438999891281128},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.39590001106262207},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.3792000114917755},{"id":"https://openalex.org/C116537","wikidata":"https://www.wikidata.org/wiki/Q2169973","display_name":"Service provider","level":3,"score":0.37049999833106995},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.321399986743927},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3172999918460846},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.31360000371932983},{"id":"https://openalex.org/C2780609101","wikidata":"https://www.wikidata.org/wiki/Q17156588","display_name":"Resource management (computing)","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3091999888420105},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.3073999881744385},{"id":"https://openalex.org/C95491727","wikidata":"https://www.wikidata.org/wiki/Q992968","display_name":"Mobile telephony","level":3,"score":0.30320000648498535},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.2976999878883362},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.2874000072479248},{"id":"https://openalex.org/C2780586970","wikidata":"https://www.wikidata.org/wiki/Q1357284","display_name":"Popularity","level":2,"score":0.2838999927043915},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.28220000863075256},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2761000096797943},{"id":"https://openalex.org/C101403955","wikidata":"https://www.wikidata.org/wiki/Q6707083","display_name":"Lyapunov optimization","level":5,"score":0.271699994802475},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.26489999890327454},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C3018412434","wikidata":"https://www.wikidata.org/wiki/Q7889","display_name":"Video game","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C2777780509","wikidata":"https://www.wikidata.org/wiki/Q1377422","display_name":"Profit maximization","level":3,"score":0.25099998712539673}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/jsac.2016.2577278","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.2016.2577278","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Journal on Selected Areas in Communications","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:398604","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1602.06063","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.06063","pdf_url":"https://arxiv.org/pdf/1602.06063","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1602.06063","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.06063","pdf_url":"https://arxiv.org/pdf/1602.06063","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1185566941","display_name":null,"funder_award_id":"2013D02","funder_id":"https://openalex.org/F4320324856","funder_display_name":"Southeast University"},{"id":"https://openalex.org/G1733514037","display_name":null,"funder_award_id":"61501238","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4704380752","display_name":"Design of rateless network coded future wireless cellular systems","funder_award_id":"DP120100405","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G5536370483","display_name":null,"funder_award_id":"2013D02","funder_id":"https://openalex.org/F4320336270","funder_display_name":"National Mobile Communications Research Laboratory, Southeast University"},{"id":"https://openalex.org/G5585059550","display_name":null,"funder_award_id":"30916011205","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6790452837","display_name":"Design of Multi-Gigabit Millimeter Wave Cellular Networks","funder_award_id":"DP150104019","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G6797678190","display_name":"\u591a\u7528\u6237\u5bf9\u53cc\u591a\u5411\u4e2d\u7ee7\u534f\u540c\u5bbd\u5e26\u65e0\u7ebf\u7f51\u7edc\u5e72\u6270\u7ba1\u7406\u4e0e\u4f18\u5316\u8bbe\u8ba1\u7814\u7a76","funder_award_id":"61472190","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7541402009","display_name":"\u5e72\u6270\u534f\u4f5c\u591a\u57fa\u7ad9\u5bbd\u5e26\u65e0\u7ebf\u7f51\u7edc\u5bb9\u91cf\u548c\u5e72\u6270\u7ba1\u7406\u7814\u7a76","funder_award_id":"61271230","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320966","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320324856","display_name":"Southeast University","ror":"https://ror.org/04ct4d772"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320336270","display_name":"National Mobile Communications Research Laboratory, Southeast University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1972738071","https://openalex.org/W1988834815","https://openalex.org/W2009708702","https://openalex.org/W2038228267","https://openalex.org/W2039124714","https://openalex.org/W2066707812","https://openalex.org/W2083561767","https://openalex.org/W2083994692","https://openalex.org/W2094769796","https://openalex.org/W2103972037","https://openalex.org/W2111009006","https://openalex.org/W2113421802","https://openalex.org/W2118519969","https://openalex.org/W2122186362","https://openalex.org/W2129059062","https://openalex.org/W2136530738","https://openalex.org/W2137775453","https://openalex.org/W2139766131","https://openalex.org/W2145873277","https://openalex.org/W2160081863","https://openalex.org/W2963533254"],"related_works":[],"abstract_inverted_index":{"Evidence":[0],"indicates":[1],"that":[2,158,259],"downloading":[3],"on-demand":[4],"videos":[5,19,47,96],"accounts":[6],"for":[7,35,84,275],"a":[8,56,63,182,207],"dramatic":[9],"increase":[10],"in":[11,20,97],"data":[12],"traffic":[13],"over":[14,48],"cellular":[15],"networks.":[16],"Caching":[17],"popular":[18,46,95],"the":[21,37,42,82,85,91,98,108,119,126,136,152,155,162,169,177,188,193,196,202,212,223,229,236,240,242,246,249,253,267,277],"storage":[22,243],"of":[23,45,62,87,121,131,154,164,171,191,214,232,245,252],"small-cell":[24,29,58],"base":[25],"stations":[26],"(SBS),":[27],"namely,":[28],"caching,":[30],"is":[31],"an":[32,159,172,234],"efficient":[33],"technology":[34],"reducing":[36],"transmission":[38],"latency":[39],"while":[40],"mitigating":[41],"redundant":[43],"transmissions":[44,106],"back-haul":[49],"channels.":[50],"In":[51,198],"this":[52,116,215],"paper,":[53],"we":[54,180,200,219],"consider":[55],"commercialized":[57],"caching":[59],"system":[60,117],"consisting":[61],"network":[64],"service":[65],"provider":[66],"(NSP),":[67],"several":[68],"video":[69,105,163],"retailers":[70],"(VRs),":[71],"and":[72,90,138,146,195,248,287],"mobile":[73],"users":[74],"(MUs).":[75],"The":[76],"NSP":[77,194],"leases":[78],"its":[79,165,283],"SBSs":[80,127,139,237],"to":[81,107,185],"VRs":[83],"purpose":[86],"making":[88],"profits,":[89],"VRs,":[92,241],"after":[93],"storing":[94],"rented":[99],"SBSs,":[100,247],"can":[101],"provide":[102],"faster":[103],"local":[104],"MUs,":[109],"thereby":[110],"gaining":[111],"more":[112],"profits.":[113],"We":[114,133],"conceive":[115],"within":[118],"framework":[120,280],"Stackelberg":[122,183,203],"game":[123,184,216],"by":[124,205,281],"treating":[125],"as":[128,140],"specific":[129,156],"types":[130],"resources.":[132],"first":[134],"model":[135],"MUs":[137],"two":[141],"independent":[142],"Poisson":[143],"point":[144],"processes,":[145],"develop,":[147],"via":[148],"stochastic":[149,261],"geometry":[150],"theory,":[151],"probability":[153,178],"event":[157],"MU":[160],"obtains":[161],"choice":[166],"directly":[167],"from":[168],"memory":[170],"SBS.":[173],"Then,":[174],"based":[175],"on":[176,222,285],"derived,":[179],"formulate":[181],"jointly":[186],"maximize":[187],"average":[189],"profit":[190],"both":[192],"VRs.":[197,254],"addition,":[199],"investigate":[201],"equilibrium":[204],"solving":[206],"non-convex":[208],"optimization":[209],"problem.":[210],"With":[211],"aid":[213],"theoretic":[217],"framework,":[218],"shed":[220],"light":[221],"relationship":[224],"between":[225],"four":[226],"important":[227],"factors:":[228],"optimal":[230],"pricing":[231,286],"leasing":[233],"SBS,":[235],"allocation":[238],"among":[239],"size":[244],"popularity":[250],"distribution":[251],"Monte":[255],"Carlo":[256],"simulations":[257],"show":[258],"our":[260],"geometry-based":[262],"analytical":[263],"results":[264,271],"closely":[265],"match":[266],"empirical":[268],"ones.":[269],"Numerical":[270],"are":[272],"also":[273],"provided":[274],"quantifying":[276],"proposed":[278],"game-theoretic":[279],"showing":[282],"efficiency":[284],"resource":[288],"allocation.":[289]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":41},{"year":2018,"cited_by_count":25},{"year":2017,"cited_by_count":22},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}