{"id":"https://openalex.org/W3119823615","doi":"https://doi.org/10.1007/s11590-020-01688-8","title":"Optimization approach to Berge equilibrium for bimatrix game","display_name":"Optimization approach to Berge equilibrium for bimatrix game","publication_year":2021,"publication_date":"2021-01-04","ids":{"openalex":"https://openalex.org/W3119823615","doi":"https://doi.org/10.1007/s11590-020-01688-8","mag":"3119823615"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-020-01688-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-020-01688-8","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","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/A5070909936","display_name":"Rentsen Enkhbat","orcid":"https://orcid.org/0000-0003-0999-1069"},"institutions":[{"id":"https://openalex.org/I134987099","display_name":"Mongolian Academy of Sciences","ror":"https://ror.org/04qfh2k37","country_code":"MN","type":"government","lineage":["https://openalex.org/I134987099"]}],"countries":["MN"],"is_corresponding":true,"raw_author_name":"Rentsen Enkhbat","raw_affiliation_strings":["Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, Ulaanbaatar, Mongolia"],"raw_orcid":"https://orcid.org/0000-0003-0999-1069","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, Ulaanbaatar, Mongolia","institution_ids":["https://openalex.org/I134987099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053189261","display_name":"Batbileg Sukhee","orcid":"https://orcid.org/0000-0002-5070-7085"},"institutions":[{"id":"https://openalex.org/I64222039","display_name":"National University of Mongolia","ror":"https://ror.org/04855bv47","country_code":"MN","type":"education","lineage":["https://openalex.org/I64222039"]}],"countries":["MN"],"is_corresponding":false,"raw_author_name":"Batbileg Sukhee","raw_affiliation_strings":["National University of Mongolia, Ulaanbaatar, Mongolia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National University of Mongolia, Ulaanbaatar, Mongolia","institution_ids":["https://openalex.org/I64222039"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070909936"],"corresponding_institution_ids":["https://openalex.org/I134987099"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":1.4449,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81084039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"2","first_page":"711","last_page":"718"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T12137","display_name":"Economic theories and models","score":0.9990000128746033,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.7436127662658691},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.7180749773979187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5912929773330688},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.4350919723510742},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35029634833335876},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24335187673568726},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06567561626434326}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7436127662658691},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.7180749773979187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5912929773330688},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.4350919723510742},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35029634833335876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24335187673568726},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06567561626434326}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-020-01688-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-020-01688-8","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.5,"display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G318106746","display_name":null,"funder_award_id":"P2019-3751","funder_id":"https://openalex.org/F4320317039","funder_display_name":"National University of Mongolia"}],"funders":[{"id":"https://openalex.org/F4320317039","display_name":"National University of Mongolia","ror":"https://ror.org/04855bv47"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W564354643","https://openalex.org/W1530756071","https://openalex.org/W1988183228","https://openalex.org/W1991128723","https://openalex.org/W1994401526","https://openalex.org/W2035014516","https://openalex.org/W2042413420","https://openalex.org/W2077249294","https://openalex.org/W2138560586","https://openalex.org/W2330024298","https://openalex.org/W2502261143","https://openalex.org/W2601509482","https://openalex.org/W2612987063","https://openalex.org/W2763465111","https://openalex.org/W2788001710","https://openalex.org/W2908703657","https://openalex.org/W2971084750","https://openalex.org/W3023165582","https://openalex.org/W4232551704","https://openalex.org/W4234761190"],"related_works":["https://openalex.org/W2803931294","https://openalex.org/W1554758635","https://openalex.org/W2500870930","https://openalex.org/W2218535193","https://openalex.org/W2282604764","https://openalex.org/W2470927734","https://openalex.org/W2468739564","https://openalex.org/W2171981925","https://openalex.org/W4302558842","https://openalex.org/W2503523034"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}