{"id":"https://openalex.org/W4308480220","doi":"https://doi.org/10.1109/lcsys.2022.3214857","title":"Inverse Matrix Games With Unique Quantal Response Equilibrium","display_name":"Inverse Matrix Games With Unique Quantal Response Equilibrium","publication_year":2022,"publication_date":"2022-11-03","ids":{"openalex":"https://openalex.org/W4308480220","doi":"https://doi.org/10.1109/lcsys.2022.3214857"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2022.3214857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2022.3214857","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems 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/A5100397986","display_name":"Yue Yu","orcid":"https://orcid.org/0000-0002-8309-1838"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yue Yu","raw_affiliation_strings":["Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA"],"raw_orcid":"https://orcid.org/0000-0002-8309-1838","affiliations":[{"raw_affiliation_string":"Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021421906","display_name":"Jonathan Salfity","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jonathan Salfity","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070827615","display_name":"David Fridovich-Keil","orcid":"https://orcid.org/0000-0002-5866-6441"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Fridovich-Keil","raw_affiliation_strings":["Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX, USA"],"raw_orcid":"https://orcid.org/0000-0002-5866-6441","affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068441112","display_name":"Ufuk Topcu","orcid":"https://orcid.org/0000-0003-0819-9985"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ufuk Topcu","raw_affiliation_strings":["Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA"],"raw_orcid":"https://orcid.org/0000-0003-0819-9985","affiliations":[{"raw_affiliation_string":"Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100397986"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":1.9214,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84244058,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"643","last_page":"648"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.958299994468689,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9549000263214111,"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":0.7475452423095703},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6221686005592346},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6094925999641418},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5932086706161499},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5504742860794067},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49897074699401855},{"id":"https://openalex.org/keywords/normal-form-game","display_name":"Normal-form game","score":0.46550896763801575},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4446566104888916},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4242221415042877},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.41856253147125244},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.4051453173160553},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3088685870170593}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7475452423095703},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6221686005592346},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6094925999641418},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5932086706161499},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5504742860794067},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49897074699401855},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.46550896763801575},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4446566104888916},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4242221415042877},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.41856253147125244},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.4051453173160553},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3088685870170593},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2022.3214857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2022.3214857","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1033131904","display_name":null,"funder_award_id":"1652113","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4287712900","display_name":null,"funder_award_id":"2211432","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8824396161","display_name":null,"funder_award_id":"2211548","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332693","display_name":"Cockrell School of Engineering, University of Texas at Austin","ror":"https://ror.org/00hj54h04"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W85889939","https://openalex.org/W205960364","https://openalex.org/W1971547063","https://openalex.org/W1972221945","https://openalex.org/W1975978960","https://openalex.org/W2045980827","https://openalex.org/W2058677708","https://openalex.org/W2067050450","https://openalex.org/W2072459156","https://openalex.org/W2168238812","https://openalex.org/W2264897026","https://openalex.org/W2331890423","https://openalex.org/W2404673495","https://openalex.org/W2496276084","https://openalex.org/W2747307439","https://openalex.org/W2962756936","https://openalex.org/W2963727072","https://openalex.org/W3124237217","https://openalex.org/W4213305796","https://openalex.org/W4234761190","https://openalex.org/W4293775970","https://openalex.org/W6633117799","https://openalex.org/W6773575949"],"related_works":["https://openalex.org/W2166366941","https://openalex.org/W3097817394","https://openalex.org/W2137469025","https://openalex.org/W2077964199","https://openalex.org/W282191634","https://openalex.org/W4312141693","https://openalex.org/W2131967794","https://openalex.org/W1473969641","https://openalex.org/W2374666693","https://openalex.org/W2111030377"],"abstract_inverted_index":{"In":[0],"an":[1],"inverse":[2,31],"game":[3,17,32],"problem,":[4],"one":[5],"needs":[6],"to":[7,68],"infer":[8],"the":[9,13,30,42,58,65,82,94],"cost":[10,43,83],"function":[11],"of":[12,37,64,96],"players":[14],"in":[15,99],"a":[16,20,25,35],"such":[18],"that":[19],"desired":[21],"joint":[22],"strategy":[23],"is":[24,48],"Nash":[26,66],"equilibrium.":[27],"We":[28,53,75,92],"study":[29],"problem":[33],"for":[34,57,80],"class":[36],"multiplayer":[38],"matrix":[39,84],"games,":[40],"where":[41],"perceived":[44],"by":[45,50],"each":[46],"player":[47],"corrupted":[49],"random":[51],"noise.":[52],"provide":[54],"sufficient":[55],"conditions":[56],"players\u2019":[59],"quantal":[60],"response":[61],"equilibrium\u2014a":[62],"generalization":[63],"equilibrium":[67],"games":[69],"with":[70],"perception":[71],"noise\u2014to":[72],"be":[73],"unique.":[74],"develop":[76],"efficient":[77],"optimization":[78],"algorithms":[79],"inferring":[81],"based":[85],"on":[86],"semidefinite":[87],"programs":[88],"and":[89,103],"bilevel":[90],"optimization.":[91],"demonstrate":[93],"application":[95],"these":[97],"methods":[98],"encouraging":[100],"collision":[101],"avoidance":[102],"fair":[104],"resource":[105],"allocation.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}