{"id":"https://openalex.org/W1900031937","doi":"https://doi.org/10.1007/978-3-540-77949-0_10","title":"Bifurcation Analysis of Reinforcement Learning Agents in the Selten\u2019s Horse Game","display_name":"Bifurcation Analysis of Reinforcement Learning Agents in the Selten\u2019s Horse Game","publication_year":2008,"publication_date":"2008-02-08","ids":{"openalex":"https://openalex.org/W1900031937","doi":"https://doi.org/10.1007/978-3-540-77949-0_10","mag":"1900031937"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77949-0_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77949-0_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5014791481","display_name":"Alessandro Lazaric","orcid":"https://orcid.org/0000-0002-8970-413X"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alessandro Lazaric","raw_affiliation_strings":["Department of Electronics and Information, Politecnico di Milano, piazza Leonardo da Vinci 32, I-20133, Milan, Italy","Politecnico di Milano, Department of Electronics and Information, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Information, Politecnico di Milano, piazza Leonardo da Vinci 32, I-20133, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Politecnico di Milano, Department of Electronics and Information, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064277708","display_name":"Enrique Mu\u00f1oz de Cote","orcid":"https://orcid.org/0000-0002-3249-096X"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Enrique Munoz de Cote","raw_affiliation_strings":["Department of Electronics and Information, Politecnico di Milano, piazza Leonardo da Vinci 32, I-20133, Milan, Italy","Politecnico di Milano, Department of Electronics and Information, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Information, Politecnico di Milano, piazza Leonardo da Vinci 32, I-20133, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Politecnico di Milano, Department of Electronics and Information, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069148682","display_name":"Fabio Dercole","orcid":"https://orcid.org/0000-0001-9256-0651"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabio Dercole","raw_affiliation_strings":["Department of Electronics and Information, Politecnico di Milano, piazza Leonardo da Vinci 32, I-20133, Milan, Italy","Politecnico di Milano, Department of Electronics and Information, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Information, Politecnico di Milano, piazza Leonardo da Vinci 32, I-20133, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Politecnico di Milano, Department of Electronics and Information, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017130830","display_name":"Marcello Restelli","orcid":"https://orcid.org/0000-0002-6322-1076"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marcello Restelli","raw_affiliation_strings":["Department of Electronics and Information, Politecnico di Milano, piazza Leonardo da Vinci 32, I-20133, Milan, Italy","Politecnico di Milano, Department of Electronics and Information, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Information, Politecnico di Milano, piazza Leonardo da Vinci 32, I-20133, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Politecnico di Milano, Department of Electronics and Information, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014791481"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.14691358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"129","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/replicator-equation","display_name":"Replicator equation","score":0.8713195323944092},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.7350365519523621},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6195018291473389},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5526840090751648},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.48045891523361206},{"id":"https://openalex.org/keywords/fictitious-play","display_name":"Fictitious play","score":0.4777368903160095},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.44424548745155334},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.43851256370544434},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4147935211658478},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.376414954662323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31745481491088867},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.2821861505508423},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13868844509124756},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.08892038464546204},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07071048021316528}],"concepts":[{"id":"https://openalex.org/C50318809","wikidata":"https://www.wikidata.org/wiki/Q2145081","display_name":"Replicator equation","level":3,"score":0.8713195323944092},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.7350365519523621},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6195018291473389},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5526840090751648},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.48045891523361206},{"id":"https://openalex.org/C145071142","wikidata":"https://www.wikidata.org/wiki/Q1411116","display_name":"Fictitious play","level":3,"score":0.4777368903160095},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.44424548745155334},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.43851256370544434},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4147935211658478},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.376414954662323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31745481491088867},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.2821861505508423},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13868844509124756},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.08892038464546204},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07071048021316528},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-77949-0_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77949-0_10","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:re.public.polimi.it:11311/549212","is_oa":false,"landing_page_url":"https://link.springer.com/chapter/10.1007/978-3-540-77949-0_10","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W32403112","https://openalex.org/W1486587973","https://openalex.org/W1515851193","https://openalex.org/W1542941925","https://openalex.org/W1596321532","https://openalex.org/W1806023971","https://openalex.org/W1995622844","https://openalex.org/W2031098375","https://openalex.org/W2067393629","https://openalex.org/W2081696580","https://openalex.org/W2110667918","https://openalex.org/W2121863487","https://openalex.org/W3199187481","https://openalex.org/W4214717370","https://openalex.org/W4248083116"],"related_works":["https://openalex.org/W2137413016","https://openalex.org/W2094046875","https://openalex.org/W2069713792","https://openalex.org/W110415256","https://openalex.org/W370258010","https://openalex.org/W2084334224","https://openalex.org/W2334634358","https://openalex.org/W4388906764","https://openalex.org/W2953100338","https://openalex.org/W2051166715"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
