{"id":"https://openalex.org/W3123057901","doi":"https://doi.org/10.1137/23m1617813","title":"A Mean Field Game Approach to Bitcoin Mining","display_name":"A Mean Field Game Approach to Bitcoin Mining","publication_year":2024,"publication_date":"2024-09-18","ids":{"openalex":"https://openalex.org/W3123057901","doi":"https://doi.org/10.1137/23m1617813","mag":"3123057901"},"language":"en","primary_location":{"id":"doi:10.1137/23m1617813","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1617813","pdf_url":null,"source":{"id":"https://openalex.org/S75627377","display_name":"SIAM Journal on Financial Mathematics","issn_l":"1945-497X","issn":["1945-497X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Financial Mathematics","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/A5103971710","display_name":"Charles Bertucci","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Charles Bertucci","raw_affiliation_strings":["CMAP, Ecole Polytechnique, UMR, 7641, 91120 Palaiseau, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMAP, Ecole Polytechnique, UMR, 7641, 91120 Palaiseau, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039642474","display_name":"Louis Bertucci","orcid":"https://orcid.org/0000-0003-3822-4256"},"institutions":[{"id":"https://openalex.org/I4210126561","display_name":"Institut Louis Bachelier","ror":"https://ror.org/02y5beg61","country_code":"FR","type":"nonprofit","lineage":["https://openalex.org/I4210126561"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Louis Bertucci","raw_affiliation_strings":["Institut Louis Bachelier, 75002, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Louis Bachelier, 75002, Paris, France","institution_ids":["https://openalex.org/I4210126561"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110011642","display_name":"Jean\u2010Michel Lasry","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Michel Lasry","raw_affiliation_strings":["Universit\u00e9 Paris-Dauphine, PSL Research University, UMR, 7534, CEREMADE, 75016 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Dauphine, PSL Research University, UMR, 7534, CEREMADE, 75016 Paris, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110316992","display_name":"Pierre\u2010Louis Lions","orcid":null},"institutions":[{"id":"https://openalex.org/I187986737","display_name":"Coll\u00e8ge de France","ror":"https://ror.org/04ex24z53","country_code":"FR","type":"education","lineage":["https://openalex.org/I187986737"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre-Louis Lions","raw_affiliation_strings":["Coll\u00e8ge de France, 3 rue d\u2019Ulm, 75005, Paris, France","Universit\u00e9 Paris-Dauphine, PSL Research University, UMR, 7534, CEREMADE, 75016 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coll\u00e8ge de France, 3 rue d\u2019Ulm, 75005, Paris, France","institution_ids":["https://openalex.org/I187986737"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Dauphine, PSL Research University, UMR, 7534, CEREMADE, 75016 Paris, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103971710"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5581,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.92417122,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"3","first_page":"960","last_page":"987"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10270","display_name":"Blockchain Technology Applications and Security","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T12137","display_name":"Economic theories and models","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cryptocurrency","display_name":"Cryptocurrency","score":0.8070223331451416},{"id":"https://openalex.org/keywords/blockchain","display_name":"Blockchain","score":0.7927594184875488},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5926380157470703},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5384933948516846},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4897904396057129},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4897897243499756},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4713073670864105},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.42672958970069885},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4193253815174103},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23776775598526},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16681253910064697},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.15204748511314392}],"concepts":[{"id":"https://openalex.org/C180706569","wikidata":"https://www.wikidata.org/wiki/Q13479982","display_name":"Cryptocurrency","level":2,"score":0.8070223331451416},{"id":"https://openalex.org/C2779687700","wikidata":"https://www.wikidata.org/wiki/Q20514253","display_name":"Blockchain","level":2,"score":0.7927594184875488},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5926380157470703},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5384933948516846},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4897904396057129},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4897897243499756},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4713073670864105},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42672958970069885},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4193253815174103},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23776775598526},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16681253910064697},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.15204748511314392},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1617813","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1617813","pdf_url":null,"source":{"id":"https://openalex.org/S75627377","display_name":"SIAM Journal on Financial Mathematics","issn_l":"1945-497X","issn":["1945-497X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Financial Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04794736v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04794736","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Financial Mathematics, 2024, 15 (3), pp.960-987. &#x27E8;10.1137/23M1617813&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5199999809265137}],"awards":[{"id":"https://openalex.org/G2597420370","display_name":null,"funder_award_id":"N000141712095","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4161691176","display_name":null,"funder_award_id":"FA9550-18-1-0494","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320325087","display_name":"Institut Louis Bachelier","ror":"https://ror.org/02y5beg61"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W2038686546","https://openalex.org/W2065124438","https://openalex.org/W2477114342","https://openalex.org/W2592068898","https://openalex.org/W2797520497","https://openalex.org/W2886838613","https://openalex.org/W2962753832","https://openalex.org/W2963850426","https://openalex.org/W2963993278","https://openalex.org/W3024978002","https://openalex.org/W3044364265","https://openalex.org/W3121688281","https://openalex.org/W3122067257","https://openalex.org/W3123262312","https://openalex.org/W3123792740","https://openalex.org/W3123978058","https://openalex.org/W3124404715","https://openalex.org/W3125698360","https://openalex.org/W3138214963","https://openalex.org/W3138950545","https://openalex.org/W3167860896","https://openalex.org/W4396696497"],"related_works":["https://openalex.org/W4210406818","https://openalex.org/W4306779889","https://openalex.org/W3211706803","https://openalex.org/W4382775358","https://openalex.org/W4246942721","https://openalex.org/W3209862047","https://openalex.org/W4386732777","https://openalex.org/W4304136894","https://openalex.org/W2989851257","https://openalex.org/W4303984095"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
