{"id":"https://openalex.org/W2056881650","doi":"https://doi.org/10.1137/080739215","title":"Reflected Differential Games","display_name":"Reflected Differential Games","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2056881650","doi":"https://doi.org/10.1137/080739215","mag":"2056881650"},"language":"en","primary_location":{"id":"doi:10.1137/080739215","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080739215","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009560657","display_name":"Oana\u2010Silvia Serea","orcid":"https://orcid.org/0000-0001-8880-0798"},"institutions":[{"id":"https://openalex.org/I1325784139","display_name":"Yahoo (United Kingdom)","ror":"https://ror.org/038p3gq39","country_code":"GB","type":"company","lineage":["https://openalex.org/I1325784139","https://openalex.org/I4210134091"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Oana-Silvia Serea","raw_affiliation_strings":["oserea@yahoo.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"oserea@yahoo.fr#TAB#","institution_ids":["https://openalex.org/I1325784139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009560657"],"corresponding_institution_ids":["https://openalex.org/I1325784139"],"apc_list":null,"apc_paid":null,"fwci":0.3472,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.61481569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"48","issue":"4","first_page":"2516","last_page":"2532"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.8352251052856445},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.831964373588562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.830021858215332},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5989338755607605},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5835304260253906},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5753023624420166},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5403841137886047},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.5053618550300598},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4910612106323242},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.47544240951538086},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4579251706600189},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4395725429058075},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36544519662857056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3332393765449524},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.20455285906791687},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06194767355918884}],"concepts":[{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.8352251052856445},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.831964373588562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.830021858215332},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5989338755607605},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5835304260253906},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5753023624420166},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5403841137886047},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.5053618550300598},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4910612106323242},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.47544240951538086},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4579251706600189},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4395725429058075},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36544519662857056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3332393765449524},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.20455285906791687},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06194767355918884},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080739215","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080739215","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.8399999737739563}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1487586009","https://openalex.org/W1547240457","https://openalex.org/W1550828720","https://openalex.org/W1552025512","https://openalex.org/W1573659356","https://openalex.org/W1655172732","https://openalex.org/W1966660110","https://openalex.org/W1970030120","https://openalex.org/W1974495512","https://openalex.org/W1995605379","https://openalex.org/W2000958946","https://openalex.org/W2005666657","https://openalex.org/W2006718919","https://openalex.org/W2027256113","https://openalex.org/W2029188814","https://openalex.org/W2032316144","https://openalex.org/W2043900902","https://openalex.org/W2074621117","https://openalex.org/W2077062400","https://openalex.org/W2083331171","https://openalex.org/W2088907413","https://openalex.org/W2090480636","https://openalex.org/W2094004533","https://openalex.org/W2104924251","https://openalex.org/W2172352332","https://openalex.org/W2547189031","https://openalex.org/W2946202185","https://openalex.org/W3162519717","https://openalex.org/W4244726376"],"related_works":["https://openalex.org/W2117494769","https://openalex.org/W2800356679","https://openalex.org/W4234292432","https://openalex.org/W1987479130","https://openalex.org/W2964933021","https://openalex.org/W2983873455","https://openalex.org/W2093412621","https://openalex.org/W2896500802","https://openalex.org/W2897095542","https://openalex.org/W3128398222"],"abstract_inverted_index":{"This":[0],"paper":[1],"concerns":[2],"the":[3,23,27,37],"existence":[4],"of":[5],"a":[6,11,30,33],"possible":[7],"discontinuous":[8],"value":[9,24],"for":[10],"zero":[12],"sum":[13],"two-player":[14],"reflected":[15],"differential":[16,39],"game":[17],"under":[18],"Isaacs":[19],"condition.":[20],"We":[21],"characterize":[22],"function":[25],"as":[26],"unique":[28],"solution\u2014in":[29],"suitable":[31],"sense\u2014to":[32],"variational":[34],"inequality,":[35],"namely,":[36],"Hamilton\u2013Jacobi\u2013Isaacs":[38],"inclusion.":[40]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
