{"id":"https://openalex.org/W2078336125","doi":"https://doi.org/10.1137/s0363012903404511","title":"Differential Games with Ergodic Payoff","display_name":"Differential Games with Ergodic Payoff","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2078336125","doi":"https://doi.org/10.1137/s0363012903404511","mag":"2078336125"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012903404511","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012903404511","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/A5049391766","display_name":"Mrinal K. Ghosh","orcid":"https://orcid.org/0000-0003-4959-3065"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mrinal K. Ghosh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101969009","display_name":"K. S. Mallikarjuna Rao","orcid":"https://orcid.org/0000-0002-3894-7799"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. S. Mallikarjuna Rao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049391766"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3373,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.62894623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"43","issue":"6","first_page":"2020","last_page":"2035"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9962999820709229,"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":0.9962999820709229,"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":0.9932000041007996,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/ergodic-theory","display_name":"Ergodic theory","score":0.8836904764175415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8778836727142334},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.8426797986030579},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.624434232711792},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5303146243095398},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5216267704963684},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4951294958591461},{"id":"https://openalex.org/keywords/viscosity-solution","display_name":"Viscosity solution","score":0.48722711205482483},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.4759092926979065},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.44032707810401917},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43656104803085327},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42910483479499817},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4270571768283844},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3497604727745056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27401793003082275},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19077745079994202},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.1856987178325653},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.04835754632949829}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.8836904764175415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8778836727142334},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.8426797986030579},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.624434232711792},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5303146243095398},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5216267704963684},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4951294958591461},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.48722711205482483},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.4759092926979065},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.44032707810401917},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43656104803085327},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42910483479499817},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4270571768283844},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3497604727745056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27401793003082275},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19077745079994202},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.1856987178325653},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.04835754632949829},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0363012903404511","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012903404511","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:eprints.iisc.ac.in:3325","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.506.1817","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.506.1817","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.iisc.ernet.in/3325/1/DIFFERENTIAL_GAMES.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1487586009","https://openalex.org/W1550828720","https://openalex.org/W1973015059","https://openalex.org/W1986838484","https://openalex.org/W1987492112","https://openalex.org/W1991917939","https://openalex.org/W2001209238","https://openalex.org/W2032316144","https://openalex.org/W2053068479","https://openalex.org/W2060921867","https://openalex.org/W2076091926","https://openalex.org/W2076319278","https://openalex.org/W2091829906","https://openalex.org/W2096626244","https://openalex.org/W2106203939","https://openalex.org/W2338125180","https://openalex.org/W2498694880","https://openalex.org/W2503023465","https://openalex.org/W2749408143","https://openalex.org/W4244726376"],"related_works":["https://openalex.org/W2921570851","https://openalex.org/W4327987231","https://openalex.org/W4299308707","https://openalex.org/W2945356914","https://openalex.org/W3006342504","https://openalex.org/W4244849762","https://openalex.org/W1562243724","https://openalex.org/W2078336125","https://openalex.org/W4213403578","https://openalex.org/W4213471555"],"abstract_inverted_index":{"We":[0,9],"address":[1],"a":[2,30],"zero-sum":[3],"differential":[4],"game":[5],"with":[6],"ergodic":[7],"payoff.":[8],"study":[10],"this":[11],"problem":[12],"via":[13],"the":[14,27],"viscosity":[15],"solutions":[16],"of":[17,29],"an":[18],"associated":[19],"Hamilton--Jacobi--Isaacs":[20],"equation.":[21],"Under":[22],"certain":[23,34],"condition,":[24],"we":[25],"establish":[26],"existence":[28],"value":[31],"and":[32],"prove":[33],"representation":[35],"formulae.":[36]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-01T08:36:08.643496","created_date":"2025-10-10T00:00:00"}