{"id":"https://openalex.org/W2000596069","doi":"https://doi.org/10.1142/s0219198905000594","title":"CHARACTERIZATION AND APPROXIMATION OF VALUE FUNCTIONS OF DIFFERENTIAL GAMES WITH MAXIMUM COST IN INFINITE HORIZON","display_name":"CHARACTERIZATION AND APPROXIMATION OF VALUE FUNCTIONS OF DIFFERENTIAL GAMES WITH MAXIMUM COST IN INFINITE HORIZON","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W2000596069","doi":"https://doi.org/10.1142/s0219198905000594","mag":"2000596069"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198905000594","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198905000594","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","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/A5022584674","display_name":"Silvia Di Marco","orcid":"https://orcid.org/0000-0002-8840-4514"},"institutions":[{"id":"https://openalex.org/I4141589","display_name":"National University of Rosario","ror":"https://ror.org/02tphfq59","country_code":"AR","type":"education","lineage":["https://openalex.org/I4141589"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"S. DI MARCO","raw_affiliation_strings":["Dpto. de Matematica, Universidad de Rosario, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. de Matematica, Universidad de Rosario, Argentina","institution_ids":["https://openalex.org/I4141589"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080577288","display_name":"Alain Rapaport","orcid":"https://orcid.org/0000-0002-8515-0838"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. RAPAPORT","raw_affiliation_strings":["UMR Analyse des Syst\u00e8mes et Biom\u00e9trie, INRA Montpellier, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UMR Analyse des Syst\u00e8mes et Biom\u00e9trie, INRA Montpellier, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11788002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"07","issue":"04","first_page":"369","last_page":"393"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9921000003814697,"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":0.9921000003814697,"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/T12137","display_name":"Economic theories and models","score":0.9837999939918518,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9593999981880188,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/mathematics","display_name":"Mathematics","score":0.7943151593208313},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6802466511726379},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6559492349624634},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5236318111419678},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5014655590057373},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.49706557393074036},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.48139217495918274},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4791828393936157},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4205840229988098},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.41942453384399414},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3455444574356079},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23935559391975403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09782668948173523}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7943151593208313},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6802466511726379},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6559492349624634},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5236318111419678},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5014655590057373},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.49706557393074036},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.48139217495918274},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4791828393936157},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4205840229988098},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.41942453384399414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3455444574356079},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23935559391975403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09782668948173523},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0219198905000594","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198905000594","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01001122v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01001122","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":"International Game Theory Review, 2005, 7 (4), pp.369-393. ⟨10.1142/S0219198905000594⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:07:y:2005:i:04:n:s0219198905000594","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198905000594","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:07:y:2005:i:04:p:369-393","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219198905000594","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/1","display_name":"No poverty","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W85604706","https://openalex.org/W149761250","https://openalex.org/W204462166","https://openalex.org/W205546364","https://openalex.org/W950157316","https://openalex.org/W1487586009","https://openalex.org/W1552025512","https://openalex.org/W1974495512","https://openalex.org/W1998452137","https://openalex.org/W2028211430","https://openalex.org/W2033616550","https://openalex.org/W2056207177"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W4297791327","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2318923278","https://openalex.org/W2417585376","https://openalex.org/W4243706127","https://openalex.org/W2758222473"],"abstract_inverted_index":{"Value":[0],"functions":[1,41,58,134],"of":[2,24,38,46,67,71,73,83,95,97,105,111,120],"differential":[3],"games":[4],"with":[5],"L":[6],"\u221e":[7],"criterion":[8],"over":[9,102],"infinite":[10],"horizon":[11,85],"are":[12,59],"known":[13],"to":[14,21],"possess":[15],"poor":[16],"regularity.":[17],"As":[18],"an":[19,90,98],"alternative":[20],"generalized":[22,118],"solutions":[23,119],"the":[25,39,43,47,60,64,74,81,103],"Isaacs":[26,48,123],"equation,":[27],"that":[28,56],"usually":[29],"requires":[30],"some":[31],"regularity":[32,54],"properties,":[33],"we":[34],"propose":[35,89],"a":[36,68,121,130],"characterization":[37],"value":[40,57,86,133],"using":[42],"integral":[44],"form":[45],"equation.":[49,77,124],"We":[50,78,125],"prove,":[51],"without":[52],"any":[53],"assumption,":[55],"lowest":[61],"super-solution":[62],"and":[63,88],"largest":[65],"element":[66],"special":[69],"set":[70,104],"sub-solutions,":[72],"dynamic":[75],"programming":[76],"characterize":[79],"also":[80],"limits":[82],"finite":[84],"functions,":[87],"approximation":[91],"scheme":[92],"in":[93],"terms":[94],"iterations":[96],"infinitesimal":[99],"operator":[100,113],"defined":[101],"Lipschitz":[106],"continuous":[107],"functions.":[108],"The":[109],"images":[110],"this":[112],"can":[114,135],"be":[115,136],"characterized":[116],"by":[117],"classical":[122],"illustrate":[126],"these":[127],"results":[128],"on":[129],"example,":[131],"whose":[132],"determined":[137],"analytically.":[138]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}