{"id":"https://openalex.org/W1993402578","doi":"https://doi.org/10.1007/s10957-014-0673-9","title":"Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly","display_name":"Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly","publication_year":2014,"publication_date":"2014-11-06","ids":{"openalex":"https://openalex.org/W1993402578","doi":"https://doi.org/10.1007/s10957-014-0673-9","mag":"1993402578"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-014-0673-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-014-0673-9","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","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/A5076682139","display_name":"Baasansuren Jadamba","orcid":"https://orcid.org/0000-0001-5624-1098"},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"B. Jadamba","raw_affiliation_strings":["Center for Applied and Computational Mathematics, Rochester Institute of Technology, 85 Lomb Memorial Drive, Rochester, NY, 14623, USA","Center for Applied and Computational Mathematics, Rochester Institute of Technology, Rochester, USA 14623#TAB#"],"affiliations":[{"raw_affiliation_string":"Center for Applied and Computational Mathematics, Rochester Institute of Technology, 85 Lomb Memorial Drive, Rochester, NY, 14623, USA","institution_ids":["https://openalex.org/I155173764"]},{"raw_affiliation_string":"Center for Applied and Computational Mathematics, Rochester Institute of Technology, Rochester, USA 14623#TAB#","institution_ids":["https://openalex.org/I155173764"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087986773","display_name":"Fabio Raciti","orcid":"https://orcid.org/0000-0002-0892-5011"},"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":"F. Raciti","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale A. Doria 6, 95125, Catania, Italy","Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Catania, Italy 95125"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale A. Doria 6, 95125, Catania, Italy","institution_ids":["https://openalex.org/I39063666"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Catania, Italy 95125","institution_ids":["https://openalex.org/I39063666"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076682139"],"corresponding_institution_ids":["https://openalex.org/I155173764"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4723,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.81633672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"165","issue":"3","first_page":"1050","last_page":"1070"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9987999796867371,"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":0.9987999796867371,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9646999835968018,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.7257528305053711},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6970400810241699},{"id":"https://openalex.org/keywords/oligopoly","display_name":"Oligopoly","score":0.670506477355957},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6575379967689514},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5900070667266846},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.49624162912368774},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.49440646171569824},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4938078820705414},{"id":"https://openalex.org/keywords/cournot-competition","display_name":"Cournot competition","score":0.45875266194343567},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.44859328866004944},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4448249936103821},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.43278664350509644},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3767252564430237},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.346116840839386},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.3314914107322693},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1266217827796936},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11206066608428955}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7257528305053711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6970400810241699},{"id":"https://openalex.org/C121398111","wikidata":"https://www.wikidata.org/wiki/Q103639","display_name":"Oligopoly","level":3,"score":0.670506477355957},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6575379967689514},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5900070667266846},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.49624162912368774},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.49440646171569824},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4938078820705414},{"id":"https://openalex.org/C16520705","wikidata":"https://www.wikidata.org/wiki/Q601799","display_name":"Cournot competition","level":2,"score":0.45875266194343567},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.44859328866004944},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4448249936103821},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.43278664350509644},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3767252564430237},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.346116840839386},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.3314914107322693},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1266217827796936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11206066608428955},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-014-0673-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-014-0673-9","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:165:y:2015:i:3:d:10.1007_s10957-014-0673-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-014-0673-9","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1490731862","https://openalex.org/W1953994949","https://openalex.org/W1966823320","https://openalex.org/W1969621471","https://openalex.org/W1979460428","https://openalex.org/W1996723413","https://openalex.org/W2012573895","https://openalex.org/W2030317353","https://openalex.org/W2047382992","https://openalex.org/W2050502803","https://openalex.org/W2055192098","https://openalex.org/W2057319937","https://openalex.org/W2061627126","https://openalex.org/W2072912908","https://openalex.org/W2075099638","https://openalex.org/W2078742969","https://openalex.org/W2078816386","https://openalex.org/W2082477992","https://openalex.org/W2084459108","https://openalex.org/W2108521965","https://openalex.org/W2108968995","https://openalex.org/W2112383528","https://openalex.org/W2140440675","https://openalex.org/W2140776371","https://openalex.org/W2147977073","https://openalex.org/W2159230854","https://openalex.org/W2167628049","https://openalex.org/W2328946772","https://openalex.org/W3217016363","https://openalex.org/W4248606763"],"related_works":["https://openalex.org/W3125408155","https://openalex.org/W2059828722","https://openalex.org/W2667199344","https://openalex.org/W2758005379","https://openalex.org/W840887606","https://openalex.org/W1997581040","https://openalex.org/W2080849740","https://openalex.org/W2377277161","https://openalex.org/W3123406447","https://openalex.org/W2794835544"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}