{"id":"https://openalex.org/W2755100104","doi":"https://doi.org/10.1134/s0005117917090120","title":"On an approach to constructing a characteristic function in cooperative differential games","display_name":"On an approach to constructing a characteristic function in cooperative differential games","publication_year":2017,"publication_date":"2017-09-01","ids":{"openalex":"https://openalex.org/W2755100104","doi":"https://doi.org/10.1134/s0005117917090120","mag":"2755100104"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117917090120","doi":"https://doi.org/10.1134/s0005117917090120","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117917090120","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"},"volume":null,"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/A5025516565","display_name":"Ekaterina Viktorovna Gromova","orcid":"https://orcid.org/0000-0003-0290-8373","observed_orcids":["https://orcid.org/0000-0003-0290-8373"]},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"E. V. Gromova","raw_affiliation_strings":["St. Petersburg State University, St. Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061944308","display_name":"Leon A. Petrosyan","orcid":"https://orcid.org/0000-0001-9393-3771","observed_orcids":["https://orcid.org/0000-0001-9393-3771"]},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"L. A. Petrosyan","raw_affiliation_strings":["St. Petersburg State University, St. Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025516565"],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":null,"apc_paid":null,"fwci":5.5739,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.9595402,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"78","issue":"9","first_page":"1680","last_page":"1692"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9110999703407288,"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":0.9110999703407288,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.08060000091791153,"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/T12158","display_name":"Guidance and Control Systems","score":0.0007999999797903001,"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/cooperative-differential-games","display_name":"cooperative differential games","score":0.8640000224113464},{"id":"https://openalex.org/keywords/characteristic-function","display_name":"characteristic function","score":0.8849999904632568},{"id":"https://openalex.org/keywords/superadditivity","display_name":"superadditivity","score":0.9459999799728394},{"id":"https://openalex.org/keywords/optimal-control-policy","display_name":"optimal control policy","score":0.8019999861717224},{"id":"https://openalex.org/keywords/coalition-formation","display_name":"coalition formation","score":0.718999981880188},{"id":"https://openalex.org/keywords/pollution-control","display_name":"pollution control","score":0.6269999742507935},{"id":"https://openalex.org/keywords/game-theoretic-solution-concepts","display_name":"game-theoretic solution concepts","score":0.45899999141693115}],"concepts":[{"id":"https://openalex.org/C20017120","wikidata":"https://www.wikidata.org/wiki/Q922087","display_name":"Superadditivity","level":2,"score":0.9263402223587036},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.8102448582649231},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.7881985902786255},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.6823021173477173},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6533679962158203},{"id":"https://openalex.org/C20538924","wikidata":"https://www.wikidata.org/wiki/Q822139","display_name":"Characteristic function (probability theory)","level":3,"score":0.6478379964828491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5760897397994995},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5721898674964905},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4280811548233032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36806225776672363},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.35474497079849243},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09106677770614624},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07596585154533386},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.059679239988327026},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05650213360786438},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117917090120","doi":"https://doi.org/10.1134/s0005117917090120","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117917090120","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W610661469","https://openalex.org/W1594802219","https://openalex.org/W1659904137","https://openalex.org/W1932937768","https://openalex.org/W2041755343","https://openalex.org/W2050803934","https://openalex.org/W2060477344","https://openalex.org/W2075784261","https://openalex.org/W2115172212","https://openalex.org/W2144846366","https://openalex.org/W2171240684","https://openalex.org/W2305975691","https://openalex.org/W2331890423","https://openalex.org/W2339348728","https://openalex.org/W2900643393","https://openalex.org/W3151521803","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2904286289","https://openalex.org/W3114403716","https://openalex.org/W2960111472","https://openalex.org/W38399508","https://openalex.org/W6983430712","https://openalex.org/W2734651405","https://openalex.org/W4394726261","https://openalex.org/W4387756879","https://openalex.org/W4249746722","https://openalex.org/W3035684979"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,17,83,96,100],"novel":[3],"approach":[4],"to":[5],"constructing":[6],"characteristic":[7,14,71,97],"functions":[8],"in":[9,22,74],"cooperative":[10],"differential":[11,102],"games.":[12],"A":[13],"function":[15,72,98],"of":[16,33,65,85,95,104],"coalition":[18,49],"S":[19],"is":[20,77],"computed":[21],"two":[23],"stages:":[24],"first,":[25],"optimal":[26],"control":[27],"strategies":[28,41,60],"maximizing":[29],"the":[30,34,45,48,52,62,66],"total":[31,63],"payoff":[32,64],"players":[35,46,67],"are":[36,42],"found,":[37],"and":[38],"next,":[39],"these":[40],"used":[43],"by":[44],"from":[47,56,68],"S,":[50,58],"while":[51],"other":[53,86],"players,":[54],"those":[55],"N":[57],"use":[59],"minimizing":[61],"S.":[69],"The":[70],"obtained":[73],"this":[75],"way":[76],"superadditive.":[78],"In":[79],"addition,":[80],"it":[81],"possesses":[82],"number":[84],"useful":[87],"properties.":[88],"As":[89],"an":[90],"example,":[91],"we":[92],"compute":[93],"values":[94],"for":[99],"specific":[101],"game":[103],"pollution":[105],"control.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":7}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2017-09-25T00:00:00"}