{"id":"https://openalex.org/W2086681812","doi":"https://doi.org/10.1007/s10589-013-9538-7","title":"Stochastic Nash equilibrium problems: sample average approximation and applications","display_name":"Stochastic Nash equilibrium problems: sample average approximation and applications","publication_year":2013,"publication_date":"2013-02-21","ids":{"openalex":"https://openalex.org/W2086681812","doi":"https://doi.org/10.1007/s10589-013-9538-7","mag":"2086681812"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-013-9538-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-013-9538-7","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.18452/8398","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076597279","display_name":"Huifu Xu","orcid":"https://orcid.org/0000-0001-8307-2920"},"institutions":[{"id":"https://openalex.org/I180825142","display_name":"City, University of London","ror":"https://ror.org/04489at23","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I180825142"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Huifu Xu","raw_affiliation_strings":["School of Engineering and Mathematical Sciences, City University of London, London, EC1V 0HB, UK","School of Engineering and Mathematical Sciences, City University of London, London, UK EC1V 0HB#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Mathematical Sciences, City University of London, London, EC1V 0HB, UK","institution_ids":["https://openalex.org/I180825142"]},{"raw_affiliation_string":"School of Engineering and Mathematical Sciences, City University of London, London, UK EC1V 0HB#TAB#","institution_ids":["https://openalex.org/I180825142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021385278","display_name":"Dali Zhang","orcid":"https://orcid.org/0000-0002-7945-4042"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dali Zhang","raw_affiliation_strings":["Sino-US Global Logistics Institute, Shanghai Jiao Tong University, Shanghai, 200030, China","Sino-US Global Logistics Institute, Shanghai Jiao Tong University,Shanghai,China,200030"],"affiliations":[{"raw_affiliation_string":"Sino-US Global Logistics Institute, Shanghai Jiao Tong University, Shanghai, 200030, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Sino-US Global Logistics Institute, Shanghai Jiao Tong University,Shanghai,China,200030","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076597279"],"corresponding_institution_ids":["https://openalex.org/I180825142"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.1827,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.95749929,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"55","issue":"3","first_page":"597","last_page":"645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9941999912261963,"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":0.9941999912261963,"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/T10969","display_name":"Water resources management and optimization","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9876999855041504,"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.8048492074012756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7798961400985718},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.5646848678588867},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5046731233596802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4988112449645996},{"id":"https://openalex.org/keywords/correlated-equilibrium","display_name":"Correlated equilibrium","score":0.47933754324913025},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.4369434714317322},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4337078630924225},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4186337888240814},{"id":"https://openalex.org/keywords/risk-dominance","display_name":"Risk dominance","score":0.4167243242263794},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.404136061668396},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.17719712853431702},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.1683122217655182},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15508857369422913},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15299788117408752}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8048492074012756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7798961400985718},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.5646848678588867},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5046731233596802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4988112449645996},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.47933754324913025},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.4369434714317322},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4337078630924225},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4186337888240814},{"id":"https://openalex.org/C22349654","wikidata":"https://www.wikidata.org/wiki/Q2039354","display_name":"Risk dominance","level":5,"score":0.4167243242263794},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.404136061668396},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.17719712853431702},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.1683122217655182},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15508857369422913},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15299788117408752},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10589-013-9538-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-013-9538-7","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:145459","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.152.7500","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.152.7500","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://edoc.hu-berlin.de/series/speps/2008-14/PDF/14.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:coopap:v:55:y:2013:i:3:p:597-645","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-013-9538-7","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"},{"id":"pmh:oai:edoc.hu-berlin.de:18452/9050","is_oa":false,"landing_page_url":"http://edoc.hu-berlin.de/18452/9050","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"book"},{"id":"doi:10.18452/8398","is_oa":true,"landing_page_url":"https://doi.org/10.18452/8398","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.18452/8398","is_oa":true,"landing_page_url":"https://doi.org/10.18452/8398","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":101,"referenced_works":["https://openalex.org/W48523452","https://openalex.org/W171742655","https://openalex.org/W222274241","https://openalex.org/W290038075","https://openalex.org/W599484449","https://openalex.org/W1490324987","https://openalex.org/W1521407771","https://openalex.org/W1528330203","https://openalex.org/W1531856058","https://openalex.org/W1543439990","https://openalex.org/W1549732571","https://openalex.org/W1551045639","https://openalex.org/W1551360398","https://openalex.org/W1571025862","https://openalex.org/W1578430072","https://openalex.org/W1579824288","https://openalex.org/W1632219083","https://openalex.org/W1965069249","https://openalex.org/W1967737508","https://openalex.org/W1972221945","https://openalex.org/W1972500662","https://openalex.org/W1972612549","https://openalex.org/W1975049860","https://openalex.org/W1975273219","https://openalex.org/W1986324933","https://openalex.org/W1994325510","https://openalex.org/W2000257769","https://openalex.org/W2016436026","https://openalex.org/W2016859229","https://openalex.org/W2021244475","https://openalex.org/W2023986907","https://openalex.org/W2026883227","https://openalex.org/W2034336709","https://openalex.org/W2039000181","https://openalex.org/W2041219907","https://openalex.org/W2041262529","https://openalex.org/W2044155094","https://openalex.org/W2047531301","https://openalex.org/W2049565231","https://openalex.org/W2050419975","https://openalex.org/W2051783828","https://openalex.org/W2053276889","https://openalex.org/W2055635846","https://openalex.org/W2057225839","https://openalex.org/W2057579296","https://openalex.org/W2059120410","https://openalex.org/W2061627126","https://openalex.org/W2062916395","https://openalex.org/W2064133327","https://openalex.org/W2066194037","https://openalex.org/W2071261925","https://openalex.org/W2074499214","https://openalex.org/W2076530146","https://openalex.org/W2076736386","https://openalex.org/W2080474145","https://openalex.org/W2082477992","https://openalex.org/W2083979805","https://openalex.org/W2087233288","https://openalex.org/W2089755116","https://openalex.org/W2090787683","https://openalex.org/W2099520242","https://openalex.org/W2099767994","https://openalex.org/W2102686853","https://openalex.org/W2103246054","https://openalex.org/W2106254871","https://openalex.org/W2110024506","https://openalex.org/W2112383528","https://openalex.org/W2116598569","https://openalex.org/W2118929276","https://openalex.org/W2124325500","https://openalex.org/W2130238915","https://openalex.org/W2134809310","https://openalex.org/W2138250302","https://openalex.org/W2139774323","https://openalex.org/W2147018820","https://openalex.org/W2147288643","https://openalex.org/W2153562582","https://openalex.org/W2156260808","https://openalex.org/W2158244088","https://openalex.org/W2159230854","https://openalex.org/W2159560375","https://openalex.org/W2160805461","https://openalex.org/W2162885967","https://openalex.org/W2166063259","https://openalex.org/W2170269759","https://openalex.org/W2171587393","https://openalex.org/W2482182218","https://openalex.org/W2502261143","https://openalex.org/W2506952443","https://openalex.org/W2570938806","https://openalex.org/W2906694379","https://openalex.org/W3106992008","https://openalex.org/W3157341860","https://openalex.org/W4233583182","https://openalex.org/W4236123449","https://openalex.org/W4238366554","https://openalex.org/W4241481124","https://openalex.org/W4249513058","https://openalex.org/W4250744658","https://openalex.org/W4301258660","https://openalex.org/W4301791716"],"related_works":["https://openalex.org/W1554758635","https://openalex.org/W4301347782","https://openalex.org/W1667857601","https://openalex.org/W1853631319","https://openalex.org/W2500870930","https://openalex.org/W2760737027","https://openalex.org/W2077964199","https://openalex.org/W4299551322","https://openalex.org/W3022607018","https://openalex.org/W157961742"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}