{"id":"https://openalex.org/W2052334314","doi":"https://doi.org/10.1137/130931977","title":"Characterizations of the Free Disposal Condition for Nonconvex Economies on Infinite Dimensional Commodity Spaces","display_name":"Characterizations of the Free Disposal Condition for Nonconvex Economies on Infinite Dimensional Commodity Spaces","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2052334314","doi":"https://doi.org/10.1137/130931977","mag":"2052334314"},"language":"en","primary_location":{"id":"doi:10.1137/130931977","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130931977","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":true,"oa_status":"green","oa_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3265508","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110910717","display_name":"Alejandro Jofr\u00e9","orcid":"https://orcid.org/0000-0002-3530-8115"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Alejandro Jofr\u00e9","raw_affiliation_strings":["CMM y Departamento de Ingineria Matematic\u00e0 Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"CMM y Departamento de Ingineria Matematic\u00e0 Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038275535","display_name":"Abderrahim Jourani","orcid":"https://orcid.org/0000-0002-9774-2742"},"institutions":[{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4407990431"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Abderrahim Jourani","raw_affiliation_strings":["Universit\u00e9 de Bourgogne, Institut de Math\u00e9matiques de Bourgogne, UMR 5584 CNRS, B.P. 47870, 21078 Dijon, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Bourgogne, Institut de Math\u00e9matiques de Bourgogne, UMR 5584 CNRS, B.P. 47870, 21078 Dijon, France","institution_ids":["https://openalex.org/I4210112333","https://openalex.org/I1294671590","https://openalex.org/I177064439"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110910717"],"corresponding_institution_ids":["https://openalex.org/I69737025"],"apc_list":null,"apc_paid":null,"fwci":1.9986,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90612823,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"25","issue":"1","first_page":"699","last_page":"712"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10545","display_name":"Optimization and Variational Analysis","score":0.996399998664856,"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":0.935699999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.7782142162322998},{"id":"https://openalex.org/keywords/commodity","display_name":"Commodity","score":0.7737592458724976},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.7322899699211121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6622488498687744},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6391498446464539},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.587325394153595},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5641610622406006},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.4664072096347809},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4364965558052063},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.38445210456848145},{"id":"https://openalex.org/keywords/economy","display_name":"Economy","score":0.33106380701065063},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.19132867455482483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1812971830368042},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.15299013257026672},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10880473256111145},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.08782994747161865}],"concepts":[{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.7782142162322998},{"id":"https://openalex.org/C2779439359","wikidata":"https://www.wikidata.org/wiki/Q317088","display_name":"Commodity","level":2,"score":0.7737592458724976},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.7322899699211121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6622488498687744},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6391498446464539},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.587325394153595},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5641610622406006},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.4664072096347809},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4364965558052063},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.38445210456848145},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.33106380701065063},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.19132867455482483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1812971830368042},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.15299013257026672},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10880473256111145},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.08782994747161865},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/130931977","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130931977","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"},{"id":"pmh:oai:americanae.aecid.es:3265508","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3265508","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Siam Journal On Optimization","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:localhost:10533/148032","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/148032","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Siam Journal On Optimization","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorio.uchile.cl:2250/132625","is_oa":true,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/132625","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Art\u00edculo de revista"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3265508","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3265508","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Siam Journal On Optimization","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.5899999737739563,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W653279796","https://openalex.org/W828609018","https://openalex.org/W1551360398","https://openalex.org/W1618587029","https://openalex.org/W1691561291","https://openalex.org/W1968803668","https://openalex.org/W1988777005","https://openalex.org/W2010344839","https://openalex.org/W2011256027","https://openalex.org/W2021465972","https://openalex.org/W2030645995","https://openalex.org/W2039695974","https://openalex.org/W2068615580","https://openalex.org/W2071244693","https://openalex.org/W2074772521","https://openalex.org/W2080911211","https://openalex.org/W2083268302","https://openalex.org/W2087566894","https://openalex.org/W2096534942","https://openalex.org/W2110041091","https://openalex.org/W2112779277","https://openalex.org/W2119116152","https://openalex.org/W2126637409","https://openalex.org/W2136211845","https://openalex.org/W2144639810","https://openalex.org/W2149047254","https://openalex.org/W2153562582","https://openalex.org/W2160021184","https://openalex.org/W2316563059","https://openalex.org/W2934944248","https://openalex.org/W3140299790","https://openalex.org/W3157341860","https://openalex.org/W4231063669","https://openalex.org/W4249897045","https://openalex.org/W4251348386","https://openalex.org/W4251663129"],"related_works":["https://openalex.org/W2378813457","https://openalex.org/W2073298047","https://openalex.org/W2033790662","https://openalex.org/W1963790170","https://openalex.org/W2586328217","https://openalex.org/W3125131255","https://openalex.org/W2049264236","https://openalex.org/W2009156627","https://openalex.org/W2728870795","https://openalex.org/W2102258838"],"abstract_inverted_index":{"Our":[0],"aim":[1],"in":[2,32,41],"this":[3,51],"paper":[4],"is":[5],"to":[6,53,92],"prove":[7,54],"geometric":[8],"characterizations":[9],"of":[10,57,69,86],"the":[11,25,28,33,44,55,78,84,87],"free":[12,79],"disposal":[13,80],"condition":[14,34],"for":[15],"nonconvex":[16],"economies":[17],"on":[18],"infinite":[19],"dimensional":[20],"commodity":[21],"spaces":[22],"even":[23],"if":[24],"cone":[26,46],"and":[27,59],"production":[29,88],"set":[30,89],"involved":[31],"have":[35],"an":[36],"empty":[37],"interior":[38],"such":[39],"as":[40],"$L^1$":[42],"with":[43,90],"positive":[45],"$L^1_+$.":[47],"We":[48,64,75],"then":[49],"use":[50],"characterization":[52],"existence":[56],"Pareto":[58,61],"weak":[60],"optimal":[62],"points.":[63],"also":[65],"explore":[66],"a":[67],"notion":[68],"extremal":[70],"systems":[71],"\u00e0":[72],"la":[73],"Kruger--Mordukhovich.":[74],"show":[76],"that":[77],"hypothesis":[81],"alone":[82],"assures":[83],"extremality":[85],"respect":[91],"some":[93],"set.":[94]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}