{"id":"https://openalex.org/W4315797869","doi":"https://doi.org/10.1007/s11590-022-01968-5","title":"Pareto efficiency without topology","display_name":"Pareto efficiency without topology","publication_year":2023,"publication_date":"2023-01-13","ids":{"openalex":"https://openalex.org/W4315797869","doi":"https://doi.org/10.1007/s11590-022-01968-5"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-022-01968-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-022-01968-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-022-01968-5.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11590-022-01968-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000254848","display_name":"Christos E. Kountzakis","orcid":"https://orcid.org/0000-0002-6765-9104"},"institutions":[{"id":"https://openalex.org/I98805295","display_name":"University of the Aegean","ror":"https://ror.org/03zsp3p94","country_code":"GR","type":"education","lineage":["https://openalex.org/I98805295"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Christos Kountzakis","raw_affiliation_strings":["Department of Statistics and Actuarial-Financial Mathematics, University of the Aegean, 83200, Samos, Greece"],"raw_orcid":"https://orcid.org/0000-0002-6765-9104","affiliations":[{"raw_affiliation_string":"Department of Statistics and Actuarial-Financial Mathematics, University of the Aegean, 83200, Samos, Greece","institution_ids":["https://openalex.org/I98805295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079887760","display_name":"Damiano Rossello","orcid":"https://orcid.org/0000-0001-9128-4149"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Damiano Rossello","raw_affiliation_strings":["Department of Economics and Business, University of Catania, 95129, Catania, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economics and Business, University of Catania, 95129, Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000254848"],"corresponding_institution_ids":["https://openalex.org/I98805295"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.388,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60989777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"17","issue":"7","first_page":"1633","last_page":"1641"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9724000096321106,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12137","display_name":"Economic theories and models","score":0.9631999731063843,"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/mathematics","display_name":"Mathematics","score":0.6895026564598083},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.6669979095458984},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5570973753929138},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4984869956970215},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.4769096374511719},{"id":"https://openalex.org/keywords/weak-topology","display_name":"Weak topology (polar topology)","score":0.469635009765625},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.46943333745002747},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.464666485786438},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.44772225618362427},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.43887561559677124},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4273073375225067},{"id":"https://openalex.org/keywords/topological-vector-space","display_name":"Topological vector space","score":0.4188888967037201},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37169349193573},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.33528199791908264},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26512855291366577},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22962915897369385},{"id":"https://openalex.org/keywords/general-topology","display_name":"General topology","score":0.2246723473072052},{"id":"https://openalex.org/keywords/extension-topology","display_name":"Extension topology","score":0.21641817688941956}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6895026564598083},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.6669979095458984},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5570973753929138},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4984869956970215},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.4769096374511719},{"id":"https://openalex.org/C129866940","wikidata":"https://www.wikidata.org/wiki/Q505760","display_name":"Weak topology (polar topology)","level":5,"score":0.469635009765625},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.46943333745002747},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.464666485786438},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.44772225618362427},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.43887561559677124},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4273073375225067},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.4188888967037201},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37169349193573},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.33528199791908264},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26512855291366577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22962915897369385},{"id":"https://openalex.org/C129089157","wikidata":"https://www.wikidata.org/wiki/Q621550","display_name":"General topology","level":3,"score":0.2246723473072052},{"id":"https://openalex.org/C143913944","wikidata":"https://www.wikidata.org/wiki/Q5421952","display_name":"Extension topology","level":4,"score":0.21641817688941956},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-022-01968-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-022-01968-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-022-01968-5.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11590-022-01968-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11590-022-01968-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11590-022-01968-5.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324692","display_name":"University of the Aegean","ror":"https://ror.org/03zsp3p94"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4315797869.pdf"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W796814523","https://openalex.org/W1558624065","https://openalex.org/W1568689081","https://openalex.org/W1593542532","https://openalex.org/W1980465403","https://openalex.org/W1995545738","https://openalex.org/W2004567348","https://openalex.org/W2039165308","https://openalex.org/W2083818478","https://openalex.org/W2092818206","https://openalex.org/W2119116152","https://openalex.org/W2153015072","https://openalex.org/W4229824626","https://openalex.org/W4238179324","https://openalex.org/W4293583243","https://openalex.org/W4300576158","https://openalex.org/W6724753629"],"related_works":["https://openalex.org/W2386980296","https://openalex.org/W2350827812","https://openalex.org/W2043349812","https://openalex.org/W2985651944","https://openalex.org/W2036964317","https://openalex.org/W3164665595","https://openalex.org/W3172878398","https://openalex.org/W4237012300","https://openalex.org/W1983091703","https://openalex.org/W2063649902"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"a":[2,10,35],"vector":[3,78,98],"optimization":[4,79],"problem":[5,80],"over":[6],"spaces":[7,104],"endowed":[8],"with":[9],"topological":[11,84],"linear":[12,26],"structure,":[13,27],"existence":[14],"results":[15],"for":[16],"optima":[17],"(efficient":[18],"points)":[19],"are":[20],"known.":[21],"Relying":[22],"only":[23],"on":[24],"the":[25,28,44,57,64,74,77,93],"set":[29,37,58],"of":[30,46,59,76],"properly":[31],"efficient":[32,48,52],"points":[33,49,53,61],"from":[34,63],"convex":[36],"is":[38,67,71,81],"proved":[39],"to":[40],"be":[41],"nonempty":[42],"and":[43,50,100],"sets":[45],"Proper":[47],"Pareto":[51],"coincide,":[54],"provided":[55],"that":[56],"internal":[60],"picked":[62],"corresponding":[65],"cone":[66],"nonempty.":[68],"This":[69],"result":[70],"appealing":[72],"since":[73],"scalarization":[75],"valid":[82],"without":[83,106],"requirements.":[85],"A":[86],"As":[87],"an":[88],"important":[89],"consequence,":[90],"we":[91],"provide":[92],"Second":[94],"Welfare":[95],"Theorem":[96],"in":[97,102],"lattices":[99],"especially":[101],"Lebesgue":[103],"holds":[105],"topology.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}