{"id":"https://openalex.org/W2264212190","doi":"https://doi.org/10.1134/s0005117915100136","title":"Decomposition algorithm of searching equilibria in a dynamic game","display_name":"Decomposition algorithm of searching equilibria in a dynamic game","publication_year":2015,"publication_date":"2015-10-01","ids":{"openalex":"https://openalex.org/W2264212190","doi":"https://doi.org/10.1134/s0005117915100136","mag":"2264212190"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117915100136","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117915100136","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,"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"},"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/A5080331211","display_name":"Nikolay A. Krasovskii","orcid":"https://orcid.org/0000-0003-4313-0799"},"institutions":[{"id":"https://openalex.org/I4210105350","display_name":"N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/029fhmb28","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210105350","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I4210119369","display_name":"Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/02s4h3z39","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210119369"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"N. A. Krasovskii","raw_affiliation_strings":["Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia","institution_ids":["https://openalex.org/I4210119369","https://openalex.org/I4210105350"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057355901","display_name":"A.M. T\u00e4rasyev","orcid":"https://orcid.org/0000-0002-8366-9628"},"institutions":[{"id":"https://openalex.org/I4210119369","display_name":"Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/02s4h3z39","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210119369"]},{"id":"https://openalex.org/I4210105350","display_name":"N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/029fhmb28","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210105350","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. M. Tarasyev","raw_affiliation_strings":["Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia","institution_ids":["https://openalex.org/I4210119369","https://openalex.org/I4210105350"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080331211"],"corresponding_institution_ids":["https://openalex.org/I4210105350","https://openalex.org/I4210119369"],"apc_list":null,"apc_paid":null,"fwci":1.225,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.83234923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"76","issue":"10","first_page":"1865","last_page":"1893"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9959999918937683,"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":0.9959999918937683,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9684000015258789,"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.7567818760871887},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.654985249042511},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5395660996437073},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5116786956787109},{"id":"https://openalex.org/keywords/solution-concept","display_name":"Solution concept","score":0.5008814334869385},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.4631326496601105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45495831966400146},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.44622015953063965},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.4365192949771881},{"id":"https://openalex.org/keywords/competitive-equilibrium","display_name":"Competitive equilibrium","score":0.43615010380744934},{"id":"https://openalex.org/keywords/sequential-equilibrium","display_name":"Sequential equilibrium","score":0.4348275661468506},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.4273315966129303},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.3316110372543335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.320331335067749}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7567818760871887},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.654985249042511},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5395660996437073},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5116786956787109},{"id":"https://openalex.org/C11343654","wikidata":"https://www.wikidata.org/wiki/Q780008","display_name":"Solution concept","level":3,"score":0.5008814334869385},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.4631326496601105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45495831966400146},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.44622015953063965},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.4365192949771881},{"id":"https://openalex.org/C2780964549","wikidata":"https://www.wikidata.org/wiki/Q5156353","display_name":"Competitive equilibrium","level":2,"score":0.43615010380744934},{"id":"https://openalex.org/C201364048","wikidata":"https://www.wikidata.org/wiki/Q2897085","display_name":"Sequential equilibrium","level":5,"score":0.4348275661468506},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.4273315966129303},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.3316110372543335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.320331335067749}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1134/s0005117915100136","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117915100136","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,"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"},{"id":"pmh:oai:pure.iiasa.ac.at:11298","is_oa":false,"landing_page_url":"http://pure.iiasa.ac.at/id/eprint/11298/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401423","display_name":"IIASA PURE (International Institute of Applied Systems Analysis)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1317774081","host_organization_name":"International Institute for Applied Systems Analysis","host_organization_lineage":["https://openalex.org/I1317774081"],"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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320327324","display_name":"International Institute for Applied Systems Analysis","ror":"https://ror.org/02wfhk785"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W155007335","https://openalex.org/W1484920448","https://openalex.org/W1539945301","https://openalex.org/W1552612980","https://openalex.org/W1578630563","https://openalex.org/W1586945714","https://openalex.org/W2013635262","https://openalex.org/W2033692867","https://openalex.org/W2035266053","https://openalex.org/W2062663664","https://openalex.org/W2066630623","https://openalex.org/W2070214254","https://openalex.org/W2081651208","https://openalex.org/W2085728653","https://openalex.org/W2164346911","https://openalex.org/W2243419840","https://openalex.org/W4243845907","https://openalex.org/W4298694598","https://openalex.org/W6634182003"],"related_works":["https://openalex.org/W3215039732","https://openalex.org/W3139793263","https://openalex.org/W2953375265","https://openalex.org/W2097226409","https://openalex.org/W4299590005","https://openalex.org/W4302558842","https://openalex.org/W2408729172","https://openalex.org/W1979147872","https://openalex.org/W2952611531","https://openalex.org/W4221157020"],"abstract_inverted_index":{"This":[0,113],"paper":[1],"considers":[2],"a":[3,68,88,128,137,142,151,191,195,199],"noncooperative":[4,69,200],"game":[5,202],"of":[6,10,26,40,49,67,95,106,120,131,167,173,223],"several":[7],"players":[8],"(governments":[9],"neighboring":[11],"countries)":[12],"participating":[13,175],"in":[14,198],"emission":[15,171],"reduction":[16,172],"trading.":[17],"A":[18,84],"special":[19],"emphasis":[20],"is":[21,100,111,148,185],"placed":[22],"on":[23,54],"the":[24,35,38,41,50,93,107,155,161,165,174,188,207,211,230],"case":[25],"two":[27],"players,":[28],"one":[29],"representing":[30],"Eastern":[31],"European":[32],"countries":[33,39],"and":[34,61,72,78,97,164,225],"other":[36],"being":[37],"former":[42],"Soviet":[43],"Union.":[44],"We":[45,205],"perform":[46],"statistical":[47],"analysis":[48],"model":[51],"parameters":[52],"based":[53],"real":[55],"data":[56],"under":[57,203],"quadratic":[58],"cost":[59,162],"functions":[60,163,166],"logarithmic":[62],"utility":[63],"functions.":[64],"The":[65,146],"concepts":[66],"Nash":[70,96,139],"equilibrium":[71,109,133,140,183,224,231],"cooperative":[73,143],"Pareto":[74,98,144],"maxima":[75],"are":[76,82,232],"introduced":[77],"connections":[79],"between":[80],"them":[81],"established.":[83],"new":[85],"concept,":[86],"i.e.,":[87],"market":[89,108,132,182],"equilibrium,":[90],"which":[91,135],"combines":[92],"properties":[94],"equilibria,":[99],"rigorously":[101],"defined.":[102],"An":[103,177],"analytical":[104,114,217],"solution":[105,115],"problem":[110],"given.":[112],"can":[116],"serve":[117],"for":[118],"verification":[119],"numerical":[121,221],"search":[122],"algorithms.":[123],"In":[124],"addition,":[125],"we":[126],"propose":[127],"computational":[129,213],"algorithm":[130,147,226],"search,":[134],"shifts":[136],"competitive":[138],"to":[141,181,229],"maximum.":[145],"interpreted":[149],"as":[150],"repeated":[152,192,201],"auction,":[153],"where":[154],"auctioneer":[156,178],"possesses":[157],"no":[158],"information":[159],"about":[160],"environmental":[168],"effect":[169],"from":[170],"countries.":[176],"strategy":[179],"leading":[180],"attainment":[184],"considered.":[186],"From":[187],"game-theoretic":[189],"viewpoint,":[190],"auction":[193],"describes":[194],"learning":[196],"process":[197],"uncertainty.":[204],"compare":[206],"results":[208],"gained":[209],"by":[210],"proposed":[212],"algorithms":[214],"with":[215],"their":[216],"counterparts.":[218],"And":[219],"finally,":[220],"calculations":[222],"trajectories":[227],"converging":[228],"demonstrated.":[233]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}