{"id":"https://openalex.org/W3203163906","doi":"https://doi.org/10.1137/21m1442164","title":"Existence of Solutions for Deterministic Bilevel Games under a General Bayesian Approach","display_name":"Existence of Solutions for Deterministic Bilevel Games under a General Bayesian Approach","publication_year":2023,"publication_date":"2023-08-30","ids":{"openalex":"https://openalex.org/W3203163906","doi":"https://doi.org/10.1137/21m1442164","mag":"3203163906"},"language":"en","primary_location":{"id":"doi:10.1137/21m1442164","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1442164","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5047978518","display_name":"David Salas","orcid":"https://orcid.org/0000-0003-3924-366X"},"institutions":[{"id":"https://openalex.org/I4210144665","display_name":"University of O'Higgins","ror":"https://ror.org/044cse639","country_code":"CL","type":"education","lineage":["https://openalex.org/I4210144665"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"David Salas","raw_affiliation_strings":["Instituto de Ciencias de la Ingenier\u00eda, Universidad de O\u2019Higgins, Rancagua, 2820000 Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias de la Ingenier\u00eda, Universidad de O\u2019Higgins, Rancagua, 2820000 Chile","institution_ids":["https://openalex.org/I4210144665"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113924690","display_name":"Anton Svensson","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144665","display_name":"University of O'Higgins","ror":"https://ror.org/044cse639","country_code":"CL","type":"education","lineage":["https://openalex.org/I4210144665"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Anton Svensson","raw_affiliation_strings":["Instituto de Ciencias de la Ingenier\u00eda, Universidad de O\u2019Higgins, Rancagua, 2820000 Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias de la Ingenier\u00eda, Universidad de O\u2019Higgins, Rancagua, 2820000 Chile","institution_ids":["https://openalex.org/I4210144665"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210144665"],"apc_list":null,"apc_paid":null,"fwci":0.6909,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71552179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"33","issue":"3","first_page":"2311","last_page":"2340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9977999925613403,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9977999925613403,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9898999929428101,"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":0.9891999959945679,"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/bilevel-optimization","display_name":"Bilevel optimization","score":0.7894449234008789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7796851992607117},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6000304222106934},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5820282697677612},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5503862500190735},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3762974143028259},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32807791233062744},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.2424570620059967},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12551778554916382}],"concepts":[{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.7894449234008789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7796851992607117},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6000304222106934},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5820282697677612},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5503862500190735},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3762974143028259},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32807791233062744},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2424570620059967},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12551778554916382},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1442164","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1442164","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8399999737739563,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G5123294978","display_name":null,"funder_award_id":"11220586","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"},{"id":"https://openalex.org/G5429744046","display_name":null,"funder_award_id":"3210735","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W21949161","https://openalex.org/W79905171","https://openalex.org/W423603040","https://openalex.org/W648263199","https://openalex.org/W1498636830","https://openalex.org/W1510535768","https://openalex.org/W1513869646","https://openalex.org/W1568846557","https://openalex.org/W1588628884","https://openalex.org/W1593038947","https://openalex.org/W1596909900","https://openalex.org/W1687997734","https://openalex.org/W1771326151","https://openalex.org/W1838570244","https://openalex.org/W1964213270","https://openalex.org/W1972612549","https://openalex.org/W1975233143","https://openalex.org/W1977794212","https://openalex.org/W1988746870","https://openalex.org/W2005685319","https://openalex.org/W2053531868","https://openalex.org/W2057383708","https://openalex.org/W2096126893","https://openalex.org/W2098696428","https://openalex.org/W2139774323","https://openalex.org/W2163969905","https://openalex.org/W2294679248","https://openalex.org/W2322654430","https://openalex.org/W2330024298","https://openalex.org/W2499145065","https://openalex.org/W2549514423","https://openalex.org/W2796980109","https://openalex.org/W2802739963","https://openalex.org/W2889046694","https://openalex.org/W2902389027","https://openalex.org/W2941995410","https://openalex.org/W2963127561","https://openalex.org/W2980950815","https://openalex.org/W3023527104","https://openalex.org/W3036554028","https://openalex.org/W3043872422","https://openalex.org/W3107118572","https://openalex.org/W3108875551","https://openalex.org/W3109064640","https://openalex.org/W4232171345","https://openalex.org/W4234761190","https://openalex.org/W4236123449","https://openalex.org/W4249875616","https://openalex.org/W4250744658","https://openalex.org/W4290798604","https://openalex.org/W4292921873","https://openalex.org/W4301460572"],"related_works":["https://openalex.org/W4318070895","https://openalex.org/W3157915181","https://openalex.org/W3044651776","https://openalex.org/W3015956618","https://openalex.org/W2896140431","https://openalex.org/W1994745260","https://openalex.org/W2602511199","https://openalex.org/W147717802","https://openalex.org/W1536852012","https://openalex.org/W2558645170"],"abstract_inverted_index":{"In":[0],"1996,":[1],"Mallozzi":[2],"and":[3,111],"Morgan":[4],"[31]":[5],"proposed":[6],"a":[7,43,74,108],"new":[8,67],"model":[9],"for":[10,61,143],"bilevel":[11,63,104,144],"games":[12],"with":[13,107],"one":[14],"leader":[15,21],"(which":[16],"they":[17],"called":[18],"Intermediate).":[19],"The":[20],"has":[22],"only":[23],"partial":[24,38],"information":[25,39],"about":[26],"how":[27],"followers":[28],"select":[29],"their":[30],"response":[31],"among":[32],"possible":[33],"multiple":[34],"optimal":[35],"ones.":[36],"This":[37],"is":[40,81],"modeled":[41],"as":[42,87,89,139],"decision-dependent":[44],"distribution,":[45],"the":[46,50,54,59,96,99,112,121,126,129,140],"so-called":[47],"belief":[48,113],"of":[49,56,58,98,128],"leader.":[51],"We":[52,65],"study":[53],"existence":[55,68],"solutions":[57],"model,":[60],"general":[62],"games.":[64,145],"provide":[66],"results":[69],"based":[70],"on":[71,103],"Rectangular":[72],"Continuity,":[73],"property":[75],"introduced":[76],"in":[77],"this":[78],"work":[79],"which":[80,118],"verified":[82],"by":[83,115],"linear":[84,109],"lower-level":[85,91,110],"problems":[86,106],"well":[88],"regularized":[90],"problems.":[92],"Finally,":[93],"we":[94,119,134],"explore":[95],"performance":[97],"Differential":[100],"Evolution":[101],"metaheuristic":[102],"programming":[105],"induced":[114],"uniform":[116],"distributions,":[117],"call":[120],"Neutral":[122],"belief.":[123],"Due":[124],"to":[125,131,136],"similarity":[127],"approach":[130,142],"Bayesian":[132,141],"games,":[133],"propose":[135],"rename":[137],"it":[138]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-12-21T23:12:01.093139","created_date":"2025-10-10T00:00:00"}