{"id":"https://openalex.org/W2053829299","doi":"https://doi.org/10.1016/j.amc.2010.01.048","title":"Differential games with mixed leadership: The open-loop solution","display_name":"Differential games with mixed leadership: The open-loop solution","publication_year":2010,"publication_date":"2010-01-26","ids":{"openalex":"https://openalex.org/W2053829299","doi":"https://doi.org/10.1016/j.amc.2010.01.048","mag":"2053829299"},"language":"en","primary_location":{"id":"doi:10.1016/j.amc.2010.01.048","doi":"https://doi.org/10.1016/j.amc.2010.01.048","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2010.01.048","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5019604570","display_name":"Tamer Ba\u015far","orcid":"https://orcid.org/0000-0003-4406-7875","observed_orcids":["https://orcid.org/0000-0003-4406-7875"]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tamer Ba\u015far","raw_affiliation_strings":["Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, 405 N. Mathews Ave., Urbana, IL 61801, USA","University of Illinois at Urbana Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, 405 N. Mathews Ave., Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois at Urbana Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027426452","display_name":"Alain Bensoussan","orcid":"https://orcid.org/0000-0003-2465-1249","observed_orcids":["https://orcid.org/0000-0003-2465-1249"]},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]},{"id":"https://openalex.org/I57664883","display_name":"Ajou University","ror":"https://ror.org/03tzb2h73","country_code":"KR","type":"education","lineage":["https://openalex.org/I57664883"]}],"countries":["HK","KR","US"],"is_corresponding":false,"raw_author_name":"Alain Bensoussan","raw_affiliation_strings":["School of Management, SM30, University of Texas at Dallas, 800 W. Campbell Rd., Richardson, TX 75080-3021, USA","Ajou University","Hong Kong Polytechnic University - Faculty of Business","University of Texas at Dallas - Naveen Jindal School of Management"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management, SM30, University of Texas at Dallas, 800 W. Campbell Rd., Richardson, TX 75080-3021, USA","institution_ids":["https://openalex.org/I162577319"]},{"raw_affiliation_string":"Ajou University","institution_ids":["https://openalex.org/I57664883"]},{"raw_affiliation_string":"Hong Kong Polytechnic University - Faculty of Business","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"University of Texas at Dallas - Naveen Jindal School of Management","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088868657","display_name":"SURESH P. SETHI","orcid":"https://orcid.org/0000-0001-9590-5627","observed_orcids":["https://orcid.org/0000-0001-9590-5627"]},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Suresh P. Sethi","raw_affiliation_strings":["School of Management, SM30, University of Texas at Dallas, 800 W. Campbell Rd., Richardson, TX 75080-3021, USA","University of Texas at Dallas Naveen Jindal School of Management"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management, SM30, University of Texas at Dallas, 800 W. Campbell Rd., Richardson, TX 75080-3021, USA","institution_ids":["https://openalex.org/I162577319"]},{"raw_affiliation_string":"University of Texas at Dallas Naveen Jindal School of Management","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088868657"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":{"value":3470,"currency":"USD","value_usd":3470},"apc_paid":null,"fwci":3.0516,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.91127328,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"217","issue":"3","first_page":"972","last_page":"979"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9735999703407288,"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":0.9735999703407288,"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/T12158","display_name":"Guidance and Control Systems","score":0.018799999728798866,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/differential-games","display_name":"differential games","score":0.8230000138282776},{"id":"https://openalex.org/keywords/stackelberg-equilibrium","display_name":"Stackelberg equilibrium","score":0.8059999942779541},{"id":"https://openalex.org/keywords/nonzero-sum-games","display_name":"non-zero-sum games","score":0.8090000152587891},{"id":"https://openalex.org/keywords/leader-follower-dynamics","display_name":"leader-follower dynamics","score":0.5809999704360962},{"id":"https://openalex.org/keywords/mixed-boundary-conditions","display_name":"mixed boundary conditions","score":0.7450000047683716},{"id":"https://openalex.org/keywords/linear-quadratic-differential-games","display_name":"linear-quadratic games","score":0.9240000247955322},{"id":"https://openalex.org/keywords/two-player-games","display_name":"two-player games","score":0.640999972820282}],"concepts":[{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.6476944088935852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5772603154182434},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.49910473823547363},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.49833250045776367},{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.48695310950279236},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.47349032759666443},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4159855246543884},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37802737951278687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32529425621032715},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26808950304985046},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2541709542274475},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.25094738602638245},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.2333885133266449},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1067395806312561},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.amc.2010.01.048","doi":"https://doi.org/10.1016/j.amc.2010.01.048","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2010.01.048","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1578630563","https://openalex.org/W1659904137","https://openalex.org/W1977562524","https://openalex.org/W1983902399","https://openalex.org/W1994312039","https://openalex.org/W2032085216","https://openalex.org/W2040158468","https://openalex.org/W2129241249","https://openalex.org/W2145546590","https://openalex.org/W2954039555"],"related_works":["https://openalex.org/W4241542359","https://openalex.org/W2049456220","https://openalex.org/W7165871363","https://openalex.org/W1993236412","https://openalex.org/W7161178452","https://openalex.org/W2047442440","https://openalex.org/W4417365214","https://openalex.org/W2804978805","https://openalex.org/W3154075302","https://openalex.org/W4312918178"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}