{"id":"https://openalex.org/W4409445766","doi":"https://doi.org/10.3390/computation13040097","title":"Pareto Efficiency in Euclidean Spaces and Its Applications in Economics","display_name":"Pareto Efficiency in Euclidean Spaces and Its Applications in Economics","publication_year":2025,"publication_date":"2025-04-14","ids":{"openalex":"https://openalex.org/W4409445766","doi":"https://doi.org/10.3390/computation13040097"},"language":"en","primary_location":{"id":"doi:10.3390/computation13040097","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13040097","pdf_url":"https://www.mdpi.com/2079-3197/13/4/97/pdf?version=1744624685","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/13/4/97/pdf?version=1744624685","any_repository_has_fulltext":true},"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/A5061871147","display_name":"Vasileia Tsachouridou-Papadatou","orcid":null},"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":false,"raw_author_name":"Vasileia Tsachouridou-Papadatou","raw_affiliation_strings":["Department of Statistics and Actuarial-Financial Mathematics, University of the Aegean, 83200 Samos, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Actuarial-Financial Mathematics, University of the Aegean, 83200 Samos, Greece","institution_ids":["https://openalex.org/I98805295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000254848"],"corresponding_institution_ids":["https://openalex.org/I98805295"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0829573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"4","first_page":"97","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9987000226974487,"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":0.9987000226974487,"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/T12137","display_name":"Economic theories and models","score":0.9894999861717224,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9794999957084656,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.6481808423995972},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6086333394050598},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5039741396903992},{"id":"https://openalex.org/keywords/pareto-efficiency","display_name":"Pareto efficiency","score":0.49596771597862244},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3761942386627197},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35680466890335083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35600030422210693},{"id":"https://openalex.org/keywords/neoclassical-economics","display_name":"Neoclassical economics","score":0.32818788290023804},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3181060552597046},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09196093678474426}],"concepts":[{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.6481808423995972},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6086333394050598},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5039741396903992},{"id":"https://openalex.org/C2778599509","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto efficiency","level":3,"score":0.49596771597862244},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3761942386627197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35680466890335083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35600030422210693},{"id":"https://openalex.org/C133425853","wikidata":"https://www.wikidata.org/wiki/Q60571","display_name":"Neoclassical economics","level":1,"score":0.32818788290023804},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3181060552597046},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09196093678474426}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation13040097","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13040097","pdf_url":"https://www.mdpi.com/2079-3197/13/4/97/pdf?version=1744624685","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4525de53005f43739dc85179d98a8696","is_oa":true,"landing_page_url":"https://doaj.org/article/4525de53005f43739dc85179d98a8696","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 13, Iss 4, p 97 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation13040097","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13040097","pdf_url":"https://www.mdpi.com/2079-3197/13/4/97/pdf?version=1744624685","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409445766.pdf","grobid_xml":"https://content.openalex.org/works/W4409445766.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1566820485","https://openalex.org/W1983898611","https://openalex.org/W1996376735","https://openalex.org/W2021146489","https://openalex.org/W2031393952","https://openalex.org/W2037430886","https://openalex.org/W2077546098","https://openalex.org/W2083246529","https://openalex.org/W2083818478","https://openalex.org/W2153015072","https://openalex.org/W2506044023","https://openalex.org/W2573734618","https://openalex.org/W2964348151","https://openalex.org/W3037839322","https://openalex.org/W3160355202","https://openalex.org/W4229824626","https://openalex.org/W4238179324","https://openalex.org/W4239995116","https://openalex.org/W4252722163","https://openalex.org/W4293583243","https://openalex.org/W4315797869","https://openalex.org/W6731952380"],"related_works":["https://openalex.org/W3032731072","https://openalex.org/W2481628805","https://openalex.org/W4367396453","https://openalex.org/W4237197131","https://openalex.org/W2320115115","https://openalex.org/W629236662","https://openalex.org/W4289666976","https://openalex.org/W2020821671","https://openalex.org/W2889135070","https://openalex.org/W2028337605"],"abstract_inverted_index":{"The":[0,70],"aim":[1],"of":[2,6,15,22,34,53,58,65,72],"the":[3,31,35,66,73],"first":[4],"part":[5,33],"this":[7,59,79],"paper":[8],"is":[9,61],"to":[10],"show":[11,38],"whether":[12],"a":[13,20,50,62],"set":[14,21],"Proper":[16],"Efficient":[17,24],"Points":[18,25],"and":[19],"Pareto":[23],"coincide":[26],"in":[27],"Euclidean":[28],"spaces.":[29],"In":[30],"second":[32],"paper,":[36],"we":[37],"that":[39],"supporting":[40],"prices,":[41],"which":[42],"are":[43,76],"actually":[44],"strictly":[45],"positive,":[46],"do":[47],"exist":[48],"for":[49,78],"large":[51],"class":[52],"exchange":[54],"economies.":[55],"A":[56],"consequence":[57],"result":[60],"generalized":[63],"form":[64],"Second":[67],"Welfare":[68],"theorem.":[69],"properties":[71],"cones\u2019":[74],"bases":[75],"significant":[77],"purpose.":[80]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
