{"id":"https://openalex.org/W2065786610","doi":"https://doi.org/10.1134/s0005117914060071","title":"Generalized matchings for preferences represented by simplest semiorder: Stability and pareto optimality","display_name":"Generalized matchings for preferences represented by simplest semiorder: Stability and pareto optimality","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2065786610","doi":"https://doi.org/10.1134/s0005117914060071","mag":"2065786610"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117914060071","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117914060071","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","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/A5010225224","display_name":"Sofya Kiselgof","orcid":"https://orcid.org/0000-0002-5869-3888"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. G. Kisel\u2019gof","raw_affiliation_strings":["National Research University Higher School of Economics, Moscow, Russia","National Research University \u201cHigher School of Economics,\u201d Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]},{"raw_affiliation_string":"National Research University \u201cHigher School of Economics,\u201d Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010225224"],"corresponding_institution_ids":["https://openalex.org/I118501908"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14011618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"75","issue":"6","first_page":"1069","last_page":"1077"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":1.0,"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/T10991","display_name":"Game Theory and Voting Systems","score":1.0,"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/T11182","display_name":"Auction Theory and Applications","score":0.9933000206947327,"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":0.9894000291824341,"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/extension","display_name":"Extension (predicate logic)","score":0.765825629234314},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.762961208820343},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.6914269328117371},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6616959571838379},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6286848187446594},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6221815943717957},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5677259564399719},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5633690357208252},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5292023420333862},{"id":"https://openalex.org/keywords/stable-marriage-problem","display_name":"Stable marriage problem","score":0.5196263194084167},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.4999215602874756},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4464322626590729},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.29506349563598633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24540773034095764},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2028379738330841},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08582621812820435}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.765825629234314},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.762961208820343},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.6914269328117371},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6616959571838379},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6286848187446594},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6221815943717957},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5677259564399719},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5633690357208252},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5292023420333862},{"id":"https://openalex.org/C146393371","wikidata":"https://www.wikidata.org/wiki/Q620702","display_name":"Stable marriage problem","level":3,"score":0.5196263194084167},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.4999215602874756},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4464322626590729},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.29506349563598633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24540773034095764},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2028379738330841},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08582621812820435},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117914060071","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117914060071","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1512208169","https://openalex.org/W2068115726","https://openalex.org/W2110013180","https://openalex.org/W2116279087","https://openalex.org/W2318064754","https://openalex.org/W4230865752","https://openalex.org/W4235234911","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2145824340","https://openalex.org/W1963790170","https://openalex.org/W2073298047","https://openalex.org/W3200900840","https://openalex.org/W2586328217","https://openalex.org/W4322508012","https://openalex.org/W2342031859","https://openalex.org/W2044621860","https://openalex.org/W2033790662","https://openalex.org/W2049264236"],"abstract_inverted_index":{"We":[0,62],"consider":[1],"an":[2],"extension":[3],"of":[4,8,23,31,40,74,107],"the":[5,29,35,48,59,72,108],"classical":[6],"model":[7,13],"generalized":[9],"Gale-Shapley":[10],"matchings.":[11],"The":[12],"describes":[14],"a":[15,26,44,68,92],"two-sided":[16],"market:":[17],"on":[18,28,34,71],"one":[19],"side,":[20,37],"universities":[21,53],"each":[22,39,65,78],"which":[24,41],"has":[25,80],"restriction":[27],"number":[30],"enrolled":[32],"students;":[33],"other":[36],"applicants":[38,51],"can":[42],"get":[43],"single":[45],"place":[46],"in":[47],"university.":[49],"Both":[50],"and":[52,77,101],"have":[54],"preferences":[55,81],"with":[56],"respect":[57],"to":[58],"desired":[60,75],"distribution.":[61],"assume":[63],"that":[64,82,91],"applicant":[66],"constructs":[67],"linear":[69],"order":[70],"set":[73],"universities,":[76],"university":[79],"are":[83],"simplest":[84],"semiorders":[85],"For":[86],"this":[87],"modification,":[88],"we":[89,98],"show":[90],"stable":[93,109],"matching":[94],"always":[95],"exists.":[96],"Moreover,":[97],"formulate":[99],"necessary":[100],"sufficient":[102],"conditions":[103],"for":[104],"Pareto":[105],"optimality":[106],"matching.":[110]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}