{"id":"https://openalex.org/W2744961076","doi":"https://doi.org/10.1007/s10479-005-2265-4","title":"A Globally Convergent Algorithm to Compute All Nash Equilibria for n-Person Games","display_name":"A Globally Convergent Algorithm to Compute All Nash Equilibria for n-Person Games","publication_year":2005,"publication_date":"2005-07-01","ids":{"openalex":"https://openalex.org/W2744961076","doi":"https://doi.org/10.1007/s10479-005-2265-4","mag":"2744961076"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-005-2265-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-005-2265-4","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.tilburguniversity.edu/en/publications/25abd738-2a4e-4fff-a53d-6edde90dda22","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085703430","display_name":"P. Jean\u2010Jacques Herings","orcid":"https://orcid.org/0000-0002-1100-8601"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"P. Jean-Jacques Herings","raw_affiliation_strings":["Department of Economics, Maastricht University, Maastricht, The Netherlands","Department of Economics, Maastricht University, P.O. Box 616, 6200, Maastricht, MD, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economics, Maastricht University, Maastricht, The Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"Department of Economics, Maastricht University, P.O. Box 616, 6200, Maastricht, MD, The Netherlands","institution_ids":["https://openalex.org/I34352273"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039983826","display_name":"Ronald Peeters","orcid":"https://orcid.org/0000-0001-5261-1119"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ronald Peeters","raw_affiliation_strings":["Department of Economics, Maastricht University, Maastricht, The Netherlands","Department of Economics, Maastricht University, P.O. Box 616, 6200, Maastricht, MD, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economics, Maastricht University, Maastricht, The Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"Department of Economics, Maastricht University, P.O. Box 616, 6200, Maastricht, MD, The Netherlands","institution_ids":["https://openalex.org/I34352273"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039983826","https://openalex.org/A5085703430"],"corresponding_institution_ids":["https://openalex.org/I34352273"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.41698019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"137","issue":"1","first_page":"349","last_page":"368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9771999716758728,"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":0.9771999716758728,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9259999990463257,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.923799991607666,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.8228473663330078},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.687735915184021},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5840844511985779},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5791730880737305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5442741513252258},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5342684388160706},{"id":"https://openalex.org/keywords/correlated-equilibrium","display_name":"Correlated equilibrium","score":0.4875435531139374},{"id":"https://openalex.org/keywords/normal-form-game","display_name":"Normal-form game","score":0.48171788454055786},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.46269282698631287},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45822298526763916},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4457663297653198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40641650557518005},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.400961697101593},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3732297420501709},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.3114362955093384},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.22884207963943481},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08134737610816956}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8228473663330078},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.687735915184021},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5840844511985779},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5791730880737305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5442741513252258},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5342684388160706},{"id":"https://openalex.org/C163630976","wikidata":"https://www.wikidata.org/wiki/Q964667","display_name":"Correlated equilibrium","level":5,"score":0.4875435531139374},{"id":"https://openalex.org/C155930848","wikidata":"https://www.wikidata.org/wiki/Q1069099","display_name":"Normal-form game","level":4,"score":0.48171788454055786},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.46269282698631287},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45822298526763916},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4457663297653198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40641650557518005},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.400961697101593},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3732297420501709},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.3114362955093384},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.22884207963943481},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08134737610816956},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/s10479-005-2265-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-005-2265-4","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:tilburguniversity.edu:openaire/25abd738-2a4e-4fff-a53d-6edde90dda22","is_oa":true,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/25abd738-2a4e-4fff-a53d-6edde90dda22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401490","display_name":"Research portal (Tilburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193700539","host_organization_name":"Tilburg University","host_organization_lineage":["https://openalex.org/I193700539"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Herings, P J J & Peeters, R 2005, 'A globally convergent algorithm to compute all Nash equilibria for n-person games', Annals of Operations Research, vol. 137, no. 1-4, pp. 349-368. https://doi.org/10.1007/s10479-005-2265-4","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cris.maastrichtuniversity.nl:openaire/c08844df-f79d-4910-980e-f66e5dc7f508","is_oa":true,"landing_page_url":"https://cris.maastrichtuniversity.nl/en/publications/c08844df-f79d-4910-980e-f66e5dc7f508","pdf_url":null,"source":{"id":"https://openalex.org/S4306402616","display_name":"Research Publications (Maastricht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34352273","host_organization_name":"Maastricht University","host_organization_lineage":["https://openalex.org/I34352273"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Herings, P J J & Peeters, R J A P 2005, 'A Globally Convergent Algorithm to Compute All Nash Equilibria for n-Person Games', Annals of Operations Research, vol. 137, pp. 349-368. https://doi.org/10.1007/s10479-005-2265-4","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:RePEc:unm:umamet:2002053","is_oa":false,"landing_page_url":"https://cris.maastrichtuniversity.nl/ws/files/864625/guid-20bcaee3-cd57-49ae-9ccf-fc1b90daeaac-ASSET1.0.pdf","pdf_url":"https://cris.maastrichtuniversity.nl/ws/files/864625/guid-20bcaee3-cd57-49ae-9ccf-fc1b90daeaac-ASSET1.0.pdf","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:CiteSeerX.psu:10.1.1.585.9216","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.585.9216","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arno.unimaas.nl/show.cgi?fid=8936","raw_type":"text"},{"id":"mag:2744961076","is_oa":false,"landing_page_url":"https://ideas.repec.org/p/unm/umamet/2002053.html","pdf_url":null,"source":{"id":"https://openalex.org/S2764572978","display_name":"Meteor Research Memorandum","issn_l":"2666-8815","issn":["2666-8815"],"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":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Meteor Research Memorandum","raw_type":null},{"id":"mag:3125307766","is_oa":false,"landing_page_url":"https://EconPapers.repec.org/RePEc:unm:umamet:2002084","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":"RePEc: Research Papers in Economics","raw_type":null},{"id":"pmh:um:oai:cris.maastrichtuniversity.nl:publications/528d026c-b8fc-4104-a884-43e64c925bcc","is_oa":true,"landing_page_url":"https://cris.maastrichtuniversity.nl/en/publications/528d026c-b8fc-4104-a884-43e64c925bcc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"","raw_type":"info:eu-repo/semantics/workingpaper"}],"best_oa_location":{"id":"pmh:oai:tilburguniversity.edu:openaire/25abd738-2a4e-4fff-a53d-6edde90dda22","is_oa":true,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/25abd738-2a4e-4fff-a53d-6edde90dda22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401490","display_name":"Research portal (Tilburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193700539","host_organization_name":"Tilburg University","host_organization_lineage":["https://openalex.org/I193700539"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Herings, P J J & Peeters, R 2005, 'A globally convergent algorithm to compute all Nash equilibria for n-person games', Annals of Operations Research, vol. 137, no. 1-4, pp. 349-368. https://doi.org/10.1007/s10479-005-2265-4","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1014208060","https://openalex.org/W1509343694","https://openalex.org/W1969243841","https://openalex.org/W1975041748","https://openalex.org/W1979090083","https://openalex.org/W1979490178","https://openalex.org/W2008968905","https://openalex.org/W2027212082","https://openalex.org/W2028064704","https://openalex.org/W2028957138","https://openalex.org/W2032791009","https://openalex.org/W2036401256","https://openalex.org/W2037032585","https://openalex.org/W2052838637","https://openalex.org/W2054951214","https://openalex.org/W2057145339","https://openalex.org/W2067151918","https://openalex.org/W2074879283","https://openalex.org/W2091186243","https://openalex.org/W2094689434","https://openalex.org/W2103204014","https://openalex.org/W2131205703","https://openalex.org/W2132476962","https://openalex.org/W2143628714","https://openalex.org/W2151329291","https://openalex.org/W2186590998","https://openalex.org/W2336126276","https://openalex.org/W2482431526","https://openalex.org/W3023735859","https://openalex.org/W4245882032","https://openalex.org/W6633613377","https://openalex.org/W6636327924","https://openalex.org/W6676449093","https://openalex.org/W6789153387"],"related_works":["https://openalex.org/W3125307766","https://openalex.org/W3202684132","https://openalex.org/W2807823918","https://openalex.org/W2116838426","https://openalex.org/W1510190958","https://openalex.org/W1681550779","https://openalex.org/W2910774495","https://openalex.org/W2950348070","https://openalex.org/W2755681698","https://openalex.org/W2158362317","https://openalex.org/W2124580127","https://openalex.org/W1965019781","https://openalex.org/W2983279663","https://openalex.org/W2179957089","https://openalex.org/W1996920228","https://openalex.org/W2765459668","https://openalex.org/W2890600522","https://openalex.org/W2769347852","https://openalex.org/W1489801068","https://openalex.org/W2752268688"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
