{"id":"https://openalex.org/W4392154777","doi":"https://doi.org/10.3390/g15020007","title":"Nash Equilibria in Two-Resource Congestion Games with Player-Specific Payoff Functions","display_name":"Nash Equilibria in Two-Resource Congestion Games with Player-Specific Payoff Functions","publication_year":2024,"publication_date":"2024-02-26","ids":{"openalex":"https://openalex.org/W4392154777","doi":"https://doi.org/10.3390/g15020007"},"language":"en","primary_location":{"id":"doi:10.3390/g15020007","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g15020007","pdf_url":"https://www.mdpi.com/2073-4336/15/2/7/pdf?version=1708949237","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"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":"Games","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-4336/15/2/7/pdf?version=1708949237","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5094002045","display_name":"Fatima Khanchouche","orcid":null},"institutions":[{"id":"https://openalex.org/I40193446","display_name":"University Ferhat Abbas of Setif","ror":"https://ror.org/02rzqza52","country_code":"DZ","type":"education","lineage":["https://openalex.org/I40193446"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Fatima Khanchouche","raw_affiliation_strings":["Fundamental and Numerical Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, Ferhat Abbas University of Setif 1, Setif 19137, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fundamental and Numerical Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, Ferhat Abbas University of Setif 1, Setif 19137, Algeria","institution_ids":["https://openalex.org/I40193446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089419270","display_name":"Samir Sbabou","orcid":null},"institutions":[{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Samir Sbabou","raw_affiliation_strings":["Center of Research in Economics and Management, University of Caen, Esplanade de la Paix, 14000 Caen, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Research in Economics and Management, University of Caen, Esplanade de la Paix, 14000 Caen, France","institution_ids":["https://openalex.org/I98702875"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107441382","display_name":"Hatem Smaoui","orcid":"https://orcid.org/0000-0002-5458-3948"},"institutions":[{"id":"https://openalex.org/I4210157513","display_name":"\u00c9cologie Marine Tropicale des Oc\u00e9ans Pacifique et Indien","ror":"https://ror.org/05kxt4539","country_code":"RE","type":"facility","lineage":["https://openalex.org/I102190016","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1327553481","https://openalex.org/I154202486","https://openalex.org/I154202486","https://openalex.org/I24715933","https://openalex.org/I2799535048","https://openalex.org/I2802818602","https://openalex.org/I4210088668","https://openalex.org/I4210090127","https://openalex.org/I4210107625","https://openalex.org/I4210113730","https://openalex.org/I4210131494","https://openalex.org/I4210157513","https://openalex.org/I4210166444","https://openalex.org/I4405257220"]}],"countries":["RE"],"is_corresponding":false,"raw_author_name":"Hatem Smaoui","raw_affiliation_strings":["Center of Economics and Management of the Indian Ocean, University of R\u00e9union, 15 Avenue Ren\u00e9 Cassin, BP 7115, 97715 Saint Denis, Cedex 9, France"],"raw_orcid":"https://orcid.org/0000-0002-5458-3948","affiliations":[{"raw_affiliation_string":"Center of Economics and Management of the Indian Ocean, University of R\u00e9union, 15 Avenue Ren\u00e9 Cassin, BP 7115, 97715 Saint Denis, Cedex 9, France","institution_ids":["https://openalex.org/I4210157513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072335518","display_name":"Abderrahmane Ziad","orcid":null},"institutions":[{"id":"https://openalex.org/I40193446","display_name":"University Ferhat Abbas of Setif","ror":"https://ror.org/02rzqza52","country_code":"DZ","type":"education","lineage":["https://openalex.org/I40193446"]},{"id":"https://openalex.org/I4210088544","display_name":"Centre de Recherche en \u00c9conomie et Management","ror":"https://ror.org/0047rmf80","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210088544","https://openalex.org/I4210105918","https://openalex.org/I4210150854","https://openalex.org/I56067802","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["DZ","FR"],"is_corresponding":false,"raw_author_name":"Abderrahmane Ziad","raw_affiliation_strings":["CREM\u2014Centre de Recherche en \u00c9conomie et Management, UNICAEN\u2014Universit\u00e9 de Caen Normandie, NU\u2014Normandie Universit\u00e9, 14000 Caen, France","Laboratoire de Math\u00e9matiques Appliqu\u00e9es (LaMA), Ferhat Abbas University of Setif 1, Setif 19137, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CREM\u2014Centre de Recherche en \u00c9conomie et Management, UNICAEN\u2014Universit\u00e9 de Caen Normandie, NU\u2014Normandie Universit\u00e9, 14000 Caen, France","institution_ids":["https://openalex.org/I4210088544","https://openalex.org/I4210105918","https://openalex.org/I98702875"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es (LaMA), Ferhat Abbas University of Setif 1, Setif 19137, Algeria","institution_ids":["https://openalex.org/I40193446"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5094002045"],"corresponding_institution_ids":["https://openalex.org/I40193446"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.7057,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70178616,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"15","issue":"2","first_page":"7","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9975000023841858,"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/T12137","display_name":"Economic theories and models","score":0.9969000220298767,"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.7413825988769531},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.7042453289031982},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.6538108587265015},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5741660594940186},{"id":"https://openalex.org/keywords/risk-dominance","display_name":"Risk dominance","score":0.5548221468925476},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.49816179275512695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4874124825000763},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4766848087310791},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46333351731300354},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.45806294679641724},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.4072537422180176},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3955588936805725},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3147198557853699},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30214008688926697},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09278225898742676},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0845070481300354}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7413825988769531},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.7042453289031982},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.6538108587265015},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5741660594940186},{"id":"https://openalex.org/C22349654","wikidata":"https://www.wikidata.org/wiki/Q2039354","display_name":"Risk dominance","level":5,"score":0.5548221468925476},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.49816179275512695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4874124825000763},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4766848087310791},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46333351731300354},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.45806294679641724},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.4072537422180176},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3955588936805725},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3147198557853699},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30214008688926697},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09278225898742676},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0845070481300354},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/g15020007","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g15020007","pdf_url":"https://www.mdpi.com/2073-4336/15/2/7/pdf?version=1708949237","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"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":"Games","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04506452v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04506452","pdf_url":"https://hal.science/hal-04506452/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Games, 2024, Games, 15 (2), pp.7. ⟨10.3390/g15020007⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:RePEc:gam:jgames:v:15:y:2024:i:2:p:7-:d:1346235","is_oa":false,"landing_page_url":"https://www.mdpi.com/2073-4336/15/2/7/","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:RePEc:hal:journl:hal-04506452","is_oa":false,"landing_page_url":"https://hal.science/hal-04506452v1/document","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":"preprint"},{"id":"pmh:oai:doaj.org/article:ff102c24bef44b008f0adfa26ceeebff","is_oa":true,"landing_page_url":"https://doaj.org/article/ff102c24bef44b008f0adfa26ceeebff","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Games, Vol 15, Iss 2, p 7 (2024)","raw_type":"article"},{"id":"pmh:oai:econstor.eu:10419/330076","is_oa":true,"landing_page_url":"https://hdl.handle.net/10419/330076","pdf_url":null,"source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:article"}],"best_oa_location":{"id":"doi:10.3390/g15020007","is_oa":true,"landing_page_url":"https://doi.org/10.3390/g15020007","pdf_url":"https://www.mdpi.com/2073-4336/15/2/7/pdf?version=1708949237","source":{"id":"https://openalex.org/S6552842","display_name":"Games","issn_l":"2073-4336","issn":["2073-4336"],"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":"Games","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392154777.pdf","grobid_xml":"https://content.openalex.org/works/W4392154777.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1659857241","https://openalex.org/W1970500571","https://openalex.org/W1978317291","https://openalex.org/W2010679956","https://openalex.org/W2018136046","https://openalex.org/W2026637590","https://openalex.org/W2054129049","https://openalex.org/W2064829129","https://openalex.org/W2077066745","https://openalex.org/W2086748851","https://openalex.org/W2095094403","https://openalex.org/W2102736491","https://openalex.org/W2134373565","https://openalex.org/W2145297839","https://openalex.org/W2171306573","https://openalex.org/W2184208301","https://openalex.org/W3022321359","https://openalex.org/W3123742828","https://openalex.org/W4233515482","https://openalex.org/W4297563113","https://openalex.org/W4392154777","https://openalex.org/W6631508959","https://openalex.org/W6682770590","https://openalex.org/W6789668859","https://openalex.org/W6959304593"],"related_works":["https://openalex.org/W1853631319","https://openalex.org/W4301347782","https://openalex.org/W3192122086","https://openalex.org/W1976009178","https://openalex.org/W1667857601","https://openalex.org/W2092374696","https://openalex.org/W2013767790","https://openalex.org/W1554758635","https://openalex.org/W2077964199","https://openalex.org/W2760737027"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,27],"examine":[4],"the":[5,21],"class":[6],"of":[7,24],"congestion":[8],"games":[9],"with":[10],"player-specific":[11],"payoff":[12],"functions":[13],"introduced":[14],"by":[15],"Milchtaich,":[16],"I.":[17],"(1996).":[18],"Focusing":[19],"on":[20,49],"special":[22],"case":[23],"two":[25],"resources,":[26],"give":[28],"a":[29,45],"short":[30],"and":[31],"simple":[32],"method":[33],"for":[34],"identifying":[35],"all":[36],"Nash":[37],"equilibria":[38],"in":[39],"pure":[40],"strategies.":[41],"We":[42],"also":[43],"provide":[44],"computation":[46],"algorithm":[47],"based":[48],"our":[50],"theoretical":[51],"analysis.":[52]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}