{"id":"https://openalex.org/W4408750483","doi":"https://doi.org/10.1007/s10878-025-01274-7","title":"Inefficiency of multiplicative approximate Nash equilibrium for scheduling games","display_name":"Inefficiency of multiplicative approximate Nash equilibrium for scheduling games","publication_year":2025,"publication_date":"2025-03-23","ids":{"openalex":"https://openalex.org/W4408750483","doi":"https://doi.org/10.1007/s10878-025-01274-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-025-01274-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-025-01274-7","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial 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/A5054532882","display_name":"Zhu-Yi-Nan Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhuyinan Wang","raw_affiliation_strings":["School of Mathematical Science, Zhejiang University, Hangzhou, 310058, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, Hangzhou, 310058, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110962519","display_name":"Chen Zhang","orcid":"https://orcid.org/0009-0006-7630-3421"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Zhang","raw_affiliation_strings":["School of Mathematical Science, Zhejiang University, Hangzhou, 310058, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, Hangzhou, 310058, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072850941","display_name":"Zhiyi Tan","orcid":"https://orcid.org/0000-0002-4714-5448"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiyi Tan","raw_affiliation_strings":["School of Mathematical Science, Zhejiang University, Hangzhou, 310058, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, Hangzhou, 310058, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054532882"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06205693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9993000030517578,"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":0.9923999905586243,"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":0.9800000190734863,"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/inefficiency","display_name":"Inefficiency","score":0.8484317064285278},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.7613890171051025},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7361463308334351},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6665145754814148},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6624062657356262},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.4998605251312256},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49634891748428345},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.44421887397766113},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4307440221309662},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.42691320180892944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42448702454566956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3834165036678314},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3118143379688263},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.1518082320690155},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13205304741859436}],"concepts":[{"id":"https://openalex.org/C2778869765","wikidata":"https://www.wikidata.org/wiki/Q6028363","display_name":"Inefficiency","level":2,"score":0.8484317064285278},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7613890171051025},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7361463308334351},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6665145754814148},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6624062657356262},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.4998605251312256},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49634891748428345},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.44421887397766113},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4307440221309662},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.42691320180892944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42448702454566956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3834165036678314},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3118143379688263},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.1518082320690155},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13205304741859436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-025-01274-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-025-01274-7","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:49:y:2025:i:3:d:10.1007_s10878-025-01274-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-025-01274-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6164241013","display_name":null,"funder_award_id":"12071427","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1513282132","https://openalex.org/W1725578675","https://openalex.org/W1978593916","https://openalex.org/W1982142541","https://openalex.org/W2002373723","https://openalex.org/W2017227260","https://openalex.org/W2021677593","https://openalex.org/W2026177035","https://openalex.org/W2041462779","https://openalex.org/W2054129049","https://openalex.org/W2056606651","https://openalex.org/W2072951587","https://openalex.org/W2086748851","https://openalex.org/W2087547812","https://openalex.org/W2089015050","https://openalex.org/W2099007327","https://openalex.org/W2111714984","https://openalex.org/W2143668930","https://openalex.org/W2275928668","https://openalex.org/W2889234503","https://openalex.org/W2983111355","https://openalex.org/W3003948755","https://openalex.org/W3010591586","https://openalex.org/W4206158564","https://openalex.org/W4388701614","https://openalex.org/W4390381945"],"related_works":["https://openalex.org/W2092374696","https://openalex.org/W1853631319","https://openalex.org/W4315489088","https://openalex.org/W2013767790","https://openalex.org/W2481143976","https://openalex.org/W4301347782","https://openalex.org/W3125812435","https://openalex.org/W1667857601","https://openalex.org/W2803932348","https://openalex.org/W1976009178"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}
