{"id":"https://openalex.org/W4391697042","doi":"https://doi.org/10.1109/tmc.2024.3364372","title":"Game Analysis and Incentive Mechanism Design for Differentially Private Cross-Silo Federated Learning","display_name":"Game Analysis and Incentive Mechanism Design for Differentially Private Cross-Silo Federated Learning","publication_year":2024,"publication_date":"2024-02-09","ids":{"openalex":"https://openalex.org/W4391697042","doi":"https://doi.org/10.1109/tmc.2024.3364372"},"language":"en","primary_location":{"id":"doi:10.1109/tmc.2024.3364372","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmc.2024.3364372","pdf_url":null,"source":{"id":"https://openalex.org/S69141925","display_name":"IEEE Transactions on Mobile Computing","issn_l":"1536-1233","issn":["1536-1233","1558-0660","2161-9875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer 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 Transactions on Mobile Computing","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/A5102758235","display_name":"Wuxing Mao","orcid":"https://orcid.org/0009-0005-1956-8581"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wuxing Mao","raw_affiliation_strings":["School of Intelligent Systems Engineering, Sun Yat-sen University, Shenzhen, China"],"raw_orcid":"https://orcid.org/0009-0005-1956-8581","affiliations":[{"raw_affiliation_string":"School of Intelligent Systems Engineering, Sun Yat-sen University, Shenzhen, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086111868","display_name":"Qian Ma","orcid":"https://orcid.org/0000-0001-6398-4949"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian Ma","raw_affiliation_strings":["School of Intelligent Systems Engineering, Sun Yat-sen University, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-6398-4949","affiliations":[{"raw_affiliation_string":"School of Intelligent Systems Engineering, Sun Yat-sen University, Shenzhen, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022042645","display_name":"Guocheng Liao","orcid":"https://orcid.org/0000-0002-3200-6162"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guocheng Liao","raw_affiliation_strings":["School of Software Engineering, Sun Yat-sen University, Zhuhai, China"],"raw_orcid":"https://orcid.org/0000-0002-3200-6162","affiliations":[{"raw_affiliation_string":"School of Software Engineering, Sun Yat-sen University, Zhuhai, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100385692","display_name":"Xu Chen","orcid":"https://orcid.org/0000-0001-9943-6020"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Chen","raw_affiliation_strings":["School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-9943-6020","affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":3.3342,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.92749621,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"23","issue":"10","first_page":"9337","last_page":"9351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11704","display_name":"Mobile Crowdsensing and Crowdsourcing","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/1706","display_name":"Computer Science Applications"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/computer-science","display_name":"Computer science","score":0.7729290723800659},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.7503398656845093},{"id":"https://openalex.org/keywords/price-of-anarchy","display_name":"Price of anarchy","score":0.6998862028121948},{"id":"https://openalex.org/keywords/subgame-perfect-equilibrium","display_name":"Subgame perfect equilibrium","score":0.6794028878211975},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5823659896850586},{"id":"https://openalex.org/keywords/incentive","display_name":"Incentive","score":0.5561352372169495},{"id":"https://openalex.org/keywords/potential-game","display_name":"Potential game","score":0.5358527898788452},{"id":"https://openalex.org/keywords/upload","display_name":"Upload","score":0.5338825583457947},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.4954787492752075},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.47595831751823425},{"id":"https://openalex.org/keywords/private-information-retrieval","display_name":"Private information retrieval","score":0.47117334604263306},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.3102905750274658},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.269439160823822},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.19973281025886536},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.1518765389919281},{"id":"https://openalex.org/keywords/price-of-stability","display_name":"Price of stability","score":0.12184882164001465},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.10223054885864258},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09949949383735657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.08863580226898193}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7729290723800659},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7503398656845093},{"id":"https://openalex.org/C82149807","wikidata":"https://www.wikidata.org/wiki/Q7242623","display_name":"Price of anarchy","level":4,"score":0.6998862028121948},{"id":"https://openalex.org/C175983524","wikidata":"https://www.wikidata.org/wiki/Q1615834","display_name":"Subgame perfect equilibrium","level":3,"score":0.6794028878211975},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5823659896850586},{"id":"https://openalex.org/C29122968","wikidata":"https://www.wikidata.org/wiki/Q1414816","display_name":"Incentive","level":2,"score":0.5561352372169495},{"id":"https://openalex.org/C2778079155","wikidata":"https://www.wikidata.org/wiki/Q288500","display_name":"Potential game","level":3,"score":0.5358527898788452},{"id":"https://openalex.org/C71901391","wikidata":"https://www.wikidata.org/wiki/Q7126699","display_name":"Upload","level":2,"score":0.5338825583457947},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.4954787492752075},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.47595831751823425},{"id":"https://openalex.org/C99221444","wikidata":"https://www.wikidata.org/wiki/Q1532069","display_name":"Private information retrieval","level":2,"score":0.47117334604263306},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3102905750274658},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.269439160823822},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.19973281025886536},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.1518765389919281},{"id":"https://openalex.org/C188466206","wikidata":"https://www.wikidata.org/wiki/Q7242626","display_name":"Price of stability","level":3,"score":0.12184882164001465},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.10223054885864258},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09949949383735657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.08863580226898193},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C556758197","wikidata":"https://www.wikidata.org/wiki/Q580018","display_name":"Monetary economics","level":1,"score":0.0},{"id":"https://openalex.org/C126285488","wikidata":"https://www.wikidata.org/wiki/Q178476","display_name":"Monetary policy","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tmc.2024.3364372","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmc.2024.3364372","pdf_url":null,"source":{"id":"https://openalex.org/S69141925","display_name":"IEEE Transactions on Mobile Computing","issn_l":"1536-1233","issn":["1536-1233","1558-0660","2161-9875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer 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 Transactions on Mobile Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2564567550","display_name":null,"funder_award_id":"62202512","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5902444403","display_name":null,"funder_award_id":"62372481","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G645405385","display_name":null,"funder_award_id":"U20A20159","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6482157743","display_name":null,"funder_award_id":"2021B151520008","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G6683776821","display_name":null,"funder_award_id":"2023A1515011853","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1968406976","https://openalex.org/W1974524469","https://openalex.org/W1981111067","https://openalex.org/W2027595342","https://openalex.org/W2078040677","https://openalex.org/W2125537511","https://openalex.org/W2157497706","https://openalex.org/W2535690855","https://openalex.org/W2963174860","https://openalex.org/W2963318081","https://openalex.org/W2963456518","https://openalex.org/W2963629772","https://openalex.org/W2963699739","https://openalex.org/W2964162474","https://openalex.org/W3015636663","https://openalex.org/W3016632787","https://openalex.org/W3022321359","https://openalex.org/W3027749727","https://openalex.org/W3033686777","https://openalex.org/W3041656022","https://openalex.org/W3047380981","https://openalex.org/W3085175993","https://openalex.org/W3111192549","https://openalex.org/W3112044954","https://openalex.org/W3112877893","https://openalex.org/W3118874133","https://openalex.org/W3120176213","https://openalex.org/W3122462552","https://openalex.org/W3128515475","https://openalex.org/W3146591378","https://openalex.org/W3156818449","https://openalex.org/W3176778145","https://openalex.org/W3184402277","https://openalex.org/W3204086931","https://openalex.org/W3205444512","https://openalex.org/W3205478485","https://openalex.org/W3206985409","https://openalex.org/W4206320562","https://openalex.org/W4224250975","https://openalex.org/W4226474523","https://openalex.org/W4234761190","https://openalex.org/W4283220764","https://openalex.org/W4288064643","https://openalex.org/W4290993799","https://openalex.org/W4292921873","https://openalex.org/W4297781872","https://openalex.org/W4313173408","https://openalex.org/W4384027004","https://openalex.org/W6692956712","https://openalex.org/W6755135904","https://openalex.org/W6764838729","https://openalex.org/W6765541894"],"related_works":["https://openalex.org/W2123036301","https://openalex.org/W2978423270","https://openalex.org/W2908767610","https://openalex.org/W4300514062","https://openalex.org/W2949715110","https://openalex.org/W2744490504","https://openalex.org/W2787689390","https://openalex.org/W2035069154","https://openalex.org/W1598931193","https://openalex.org/W1969954905"],"abstract_inverted_index":{"Cross-silo":[0],"federated":[1],"learning":[2,7],"(FL)":[3],"is":[4,154],"a":[5,13,74,115,155,159,171,235,267],"distributed":[6],"method":[8],"where":[9,79],"clients":[10,30,49,89,225,245,286],"collaboratively":[11],"train":[12],"global":[14],"model":[15,141],"without":[16],"exchanging":[17],"local":[18,33,93,125,189],"data.":[19],"However,":[20],"recent":[21],"works":[22,37],"reveal":[23],"that":[24,150,180,217,240,270,278,302],"potential":[25,156],"privacy":[26,76,106,167],"leakage":[27],"occurs":[28],"when":[29,285],"upload":[31],"their":[32,92],"updates.":[34],"Although":[35],"some":[36,227],"have":[38],"studied":[39],"privacy-preserving":[40,46,68],"mechanisms":[41,281],"in":[42,70,95,140,204,226],"FL,":[43],"the":[44,110,121,128,134,144,165,182,184,199,202,210,218,222,258,262,304],"selfish":[45,263],"behaviors":[47,69],"of":[48,123,130,137,186,201,206,212,224],"(who":[50],"are":[51,57,282,287],"usually":[52],"cost-sensitive":[53],"companies":[54],"or":[55],"organizations)":[56],"yet":[58],"to":[59,84,99,119,298],"be":[60],"explored.":[61],"In":[62],"this":[63,231],"paper,":[64],"we":[65,112,148,233,265],"formulate":[66],"clients'":[67,124,293],"cross-silo":[71],"FL":[72,131],"as":[73],"multi-stage":[75,166],"preservation":[77,168],"game,":[78,111],"each":[80,96,151,187],"stage":[81,152],"game":[82,153,157,169],"corresponds":[83],"one":[85],"training":[86,97,194],"iteration.":[87],"Specifically,":[88],"selfishly":[90],"perturb":[91],"updates":[94],"iteration":[98],"trade":[100],"off":[101],"between":[102],"convergence":[103,129,146],"performance":[104],"and":[105,164,215,246,252,290],"loss.":[107],"To":[108,229,255],"analyze":[109],"first":[113],"derive":[114],"novel":[116,145],"theoretical":[117],"bound":[118],"characterize":[120,198],"impact":[122],"perturbations":[126],"on":[127],"through":[132],"analyzing":[133],"corrective":[135],"effect":[136],"gradient":[138],"descent":[139],"training.":[142],"With":[143],"bound,":[147],"prove":[149],"with":[158,193,221,301],"unique":[160,172],"Nash":[161,175],"equilibrium":[162,176],"(NE)":[163],"admits":[170],"subgame":[173],"perfect":[174],"(SPNE).":[177],"We":[178,196],"show":[179,216,277],"at":[181,303],"SPNE,":[183],"magnitude":[185],"client's":[188],"perturbation":[190],"decreases":[191,220],"geometrically":[192],"iterations.":[195],"then":[197],"efficiency":[200,219],"SPNE":[203],"terms":[205],"social":[207,253,273],"cost":[208,295],"by":[209,296],"price":[211],"anarchy":[213],"(PoA),":[214],"number":[223],"cases.":[228],"tackle":[230],"problem,":[232],"propose":[234,266],"socially":[236],"efficient":[237],"incentive":[238],"mechanism":[239,269],"allows":[241],"monetary":[242],"transfer":[243],"among":[244],"guarantees":[247],"individual":[248],"rationality,":[249],"budget":[250],"balance,":[251],"efficiency.":[254,274],"further":[256],"elicit":[257],"private":[259],"information":[260],"from":[261],"clients,":[264],"truthful":[268],"achieves":[271],"approximate":[272],"Simulation":[275],"results":[276],"our":[279],"proposed":[280],"effective":[283],"even":[284],"highly":[288],"heterogeneous,":[289],"can":[291],"decrease":[292],"total":[294],"up":[297],"58.08%":[299],"compared":[300],"SPNE.":[305]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
