{"id":"https://openalex.org/W2089672906","doi":"https://doi.org/10.1142/s0219198904000137","title":"SOME PROPERTIES OF THE BELLMAN\u2013ISAACS EQUATION FOR THE GAMES ON SURFACES OF REVOLUTION","display_name":"SOME PROPERTIES OF THE BELLMAN\u2013ISAACS EQUATION FOR THE GAMES ON SURFACES OF REVOLUTION","publication_year":2004,"publication_date":"2004-03-01","ids":{"openalex":"https://openalex.org/W2089672906","doi":"https://doi.org/10.1142/s0219198904000137","mag":"2089672906"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198904000137","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198904000137","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/A5111748353","display_name":"Arik Melikyan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210092536","display_name":"Institute for Problems in Mechanics","ror":"https://ror.org/00nj22y86","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210092536","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"ARIK MELIKYAN","raw_affiliation_strings":["Institute for Problems in Mechanics, Russian Academy of Sciences, Vernadsky Ave., 101-1, Moscow 117526, Russia"],"affiliations":[{"raw_affiliation_string":"Institute for Problems in Mechanics, Russian Academy of Sciences, Vernadsky Ave., 101-1, Moscow 117526, Russia","institution_ids":["https://openalex.org/I4210092536"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111748353"],"corresponding_institution_ids":["https://openalex.org/I4210092536"],"apc_list":null,"apc_paid":null,"fwci":0.77,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7826625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"06","issue":"01","first_page":"171","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7373397350311279},{"id":"https://openalex.org/keywords/pursuer","display_name":"Pursuer","score":0.7187066078186035},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6912409067153931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5280528664588928},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.5279718041419983},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5056774616241455},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.4513331353664398},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4359610974788666},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3474603593349457},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.343852162361145},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.22834280133247375},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2057827115058899},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17392882704734802},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10901299118995667}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7373397350311279},{"id":"https://openalex.org/C2776927521","wikidata":"https://www.wikidata.org/wiki/Q468489","display_name":"Pursuer","level":2,"score":0.7187066078186035},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6912409067153931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5280528664588928},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.5279718041419983},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5056774616241455},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.4513331353664398},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4359610974788666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3474603593349457},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.343852162361145},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.22834280133247375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2057827115058899},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17392882704734802},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10901299118995667},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219198904000137","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198904000137","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:RePEc:wsi:igtrxx:v:06:y:2004:i:01:n:s0219198904000137","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198904000137","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1536244238","https://openalex.org/W1545080735","https://openalex.org/W4254199793"],"related_works":["https://openalex.org/W2066061202","https://openalex.org/W114019308","https://openalex.org/W2735367601","https://openalex.org/W2734442305","https://openalex.org/W2953938893","https://openalex.org/W2003150006","https://openalex.org/W2068579964","https://openalex.org/W2046396881","https://openalex.org/W2082026843","https://openalex.org/W2572049207"],"abstract_inverted_index":{"Certain":[0],"geometrical":[1],"properties":[2,103],"of":[3,16,28,30,54,85,88,96,104,108,114],"a":[4,9,37,69,83],"dynamic":[5,70],"game":[6,18,21],"may":[7,45],"generate":[8],"situation":[10],"when":[11],"in":[12,59,79,122,135,166],"some":[13],"subspace":[14],"D":[15,60],"the":[17,20,26,31,42,52,91,94,105,109,115,129,146,150,158,163,167],"space":[19],"value":[22],"depends":[23],"only":[24],"on":[25,82,117,131,170],"coordinates":[27],"one":[29,44,61,119],"players.":[32,110],"Consequently,":[33],"that":[34,74],"player":[35],"has":[36,62],"definite":[38],"optimal":[39,64],"behavior,":[40],"while":[41],"other":[43,57],"exploit":[46],"an":[47,63,152],"arbitrary":[48],"control":[49,65],"till":[50],"reaching":[51],"boundary":[53],"D.":[55],"In":[56,149],"words,":[58],"problem":[66,169],"rather":[67],"than":[68],"game.":[71],"We":[72],"show":[73],"such":[75],"phenomenon":[76],"takes":[77],"place":[78],"pursuit-evasion":[80],"games":[81,116,130],"family":[84],"2D":[86],"surfaces":[87],"revolution,":[89],"including":[90],"cones":[92,118],"and":[93,137],"hyperboloids":[95,132],"two":[97],"sheets,":[98],"due":[99],"to":[100,156,162],"special":[101],"convexity":[102],"reachability":[106],"sets":[107],"The":[111],"complete":[112],"solution":[113],"can":[120],"find":[121],"Melikyan":[123,138],"[1998],":[124,128],"Melikyan,":[125],"et":[126],"al.":[127],"are":[133],"investigated":[134],"Hovakimyan":[136],"[2000].":[139],"This":[140],"paper":[141],"presents":[142],"new":[143],"results":[144],"for":[145],"latter":[147],"games.":[148],"considerations":[151],"important":[153],"role":[154],"happen":[155],"play":[157],"focal":[159],"points,":[160],"conjugate":[161],"pursuer's":[164],"positions":[165],"variational":[168],"geodesic":[171],"lines.":[172]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}