{"id":"https://openalex.org/W7125824851","doi":"https://doi.org/10.1137/24m1696676","title":"Verification Theorem Related to a Zero Sum Stochastic Differential Game Based on a Chain Rule for Nonsmooth Functions","display_name":"Verification Theorem Related to a Zero Sum Stochastic Differential Game Based on a Chain Rule for Nonsmooth Functions","publication_year":2026,"publication_date":"2026-01-27","ids":{"openalex":"https://openalex.org/W7125824851","doi":"https://doi.org/10.1137/24m1696676"},"language":"en","primary_location":{"id":"doi:10.1137/24m1696676","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1696676","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/handle/20.500.14299/258640","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5123948155","display_name":"Carlo Ciccarella","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I97565354","display_name":"University of Lausanne","ror":"https://ror.org/019whta54","country_code":"CH","type":"education","lineage":["https://openalex.org/I97565354"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Carlo Ciccarella","raw_affiliation_strings":["EPFL Lausanne, Institut de Math\u00e9matiques, Station 8, CH-1015 Lausanne Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL Lausanne, Institut de Math\u00e9matiques, Station 8, CH-1015 Lausanne Switzerland","institution_ids":["https://openalex.org/I97565354","https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5123971154","display_name":"Francesco Russo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francesco Russo","raw_affiliation_strings":["ENSTA Paris, Institut Polytechnique de Paris, Unit\u00e9 de Math\u00e9matiques appliqu\u00e9es, F-91120 Palaiseau France"],"affiliations":[{"raw_affiliation_string":"ENSTA Paris, Institut Polytechnique de Paris, Unit\u00e9 de Math\u00e9matiques appliqu\u00e9es, F-91120 Palaiseau France","institution_ids":["https://openalex.org/I4210107641"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5123948155"],"corresponding_institution_ids":["https://openalex.org/I5124864","https://openalex.org/I97565354"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18397416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"64","issue":"1","first_page":"409","last_page":"431"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.16899999976158142,"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"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.16899999976158142,"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"}},{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.07509999722242355,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.07339999824762344,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.6039000153541565},{"id":"https://openalex.org/keywords/chain-rule","display_name":"Chain rule (probability)","score":0.5799000263214111},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5720000267028809},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4505000114440918},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.43470001220703125},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.365200012922287},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.3481000065803528},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.31220000982284546}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8237000107765198},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.6039000153541565},{"id":"https://openalex.org/C33825631","wikidata":"https://www.wikidata.org/wiki/Q17004731","display_name":"Chain rule (probability)","level":5,"score":0.5799000263214111},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5720000267028809},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45579999685287476},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4505000114440918},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.43470001220703125},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37439998984336853},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.365200012922287},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3481000065803528},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3188000023365021},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.31220000982284546},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.29330000281333923},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28850001096725464},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.2867000102996826},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.2838999927043915},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.27059999108314514},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2667999863624573},{"id":"https://openalex.org/C43994743","wikidata":"https://www.wikidata.org/wiki/Q516776","display_name":"Measurable function","level":3,"score":0.26249998807907104},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2596000134944916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2572000026702881},{"id":"https://openalex.org/C2780861221","wikidata":"https://www.wikidata.org/wiki/Q913849","display_name":"Minimax theorem","level":3,"score":0.25450000166893005},{"id":"https://openalex.org/C193769641","wikidata":"https://www.wikidata.org/wiki/Q7496252","display_name":"Shift theorem","level":5,"score":0.25189998745918274}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/24m1696676","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1696676","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04637897v3","is_oa":false,"landing_page_url":"https://hal.science/hal-04637897","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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 Control and Optimization, 2026, 64 (1), pp.409-431. ⟨10.1137/24M1696676⟩","raw_type":"Journal articles"},{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/258640","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/258640","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/258640","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/258640","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"research article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5347332320","display_name":null,"funder_award_id":"ANR-22-CE40-0015-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W182285248","https://openalex.org/W1547240457","https://openalex.org/W1963838064","https://openalex.org/W1971441289","https://openalex.org/W1971594473","https://openalex.org/W1978500102","https://openalex.org/W1985296147","https://openalex.org/W1994394740","https://openalex.org/W2005303193","https://openalex.org/W2039256361","https://openalex.org/W2046047743","https://openalex.org/W2046599865","https://openalex.org/W2048917716","https://openalex.org/W2052982373","https://openalex.org/W2055905453","https://openalex.org/W2059922898","https://openalex.org/W2064365600","https://openalex.org/W2067726964","https://openalex.org/W2078895915","https://openalex.org/W2082615400","https://openalex.org/W2154825028","https://openalex.org/W2165609671","https://openalex.org/W2483919353","https://openalex.org/W2592346698","https://openalex.org/W2964255335","https://openalex.org/W3044885624","https://openalex.org/W3123934717","https://openalex.org/W4243590097","https://openalex.org/W4390640243","https://openalex.org/W4410629462"],"related_works":[],"abstract_inverted_index":{"EPFL":[0]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2026-01-28T00:00:00"}