{"id":"https://openalex.org/W823910107","doi":null,"title":"Limitations and Extensions of the WoLF-PHC Algorithm","display_name":"Limitations and Extensions of the WoLF-PHC Algorithm","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W823910107","mag":"823910107"},"language":"en","primary_location":{"id":"pmh:oai:scholarsarchive.byu.edu:etd-2221","doi":null,"is_oa":true,"landing_page_url":"https://scholarsarchive.byu.edu/etd/1222","pdf_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2221&context=etd","source":{"id":"https://openalex.org/S4377196308","display_name":"ScholarsArchive  (Brigham Young University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I100005738","host_organization_name":"Brigham Young University","host_organization_lineage":["https://openalex.org/I100005738"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2221&context=etd","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086990029","display_name":"Philip R. Cook","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Philip R. Cook","raw_affiliation_strings":["Brigham Young Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Brigham Young Univ","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086990029"],"corresponding_institution_ids":["https://openalex.org/I100005738"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":93},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.8471999764442444,"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":0.8471999764442444,"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/T11574","display_name":"Artificial Intelligence in Games","score":0.13179999589920044,"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/T11031","display_name":"Game Theory and Applications","score":0.014499999582767487,"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/q-learning","display_name":"Q-learning","score":0.6660000085830688},{"id":"https://openalex.org/keywords/multi-agent-games","display_name":"multi-agent games","score":0.7490000128746033},{"id":"https://openalex.org/keywords/self-play","display_name":"self-play","score":0.7149999737739563},{"id":"https://openalex.org/keywords/algorithm-divergence","display_name":"algorithm divergence","score":0.5950000286102295},{"id":"https://openalex.org/keywords/nash-equilibrium-convergence","display_name":"Nash equilibrium convergence","score":0.8119999766349792},{"id":"https://openalex.org/keywords/partial-commitment","display_name":"partial commitment","score":0.7400000095367432},{"id":"https://openalex.org/keywords/matrix-games","display_name":"matrix games","score":0.7639999985694885}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5134871602058411},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47907859086990356}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:scholarsarchive.byu.edu:etd-2221","doi":null,"is_oa":true,"landing_page_url":"https://scholarsarchive.byu.edu/etd/1222","pdf_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2221&context=etd","source":{"id":"https://openalex.org/S4377196308","display_name":"ScholarsArchive  (Brigham Young University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I100005738","host_organization_name":"Brigham Young University","host_organization_lineage":["https://openalex.org/I100005738"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations","raw_type":"text"},{"id":"mag:823910107","doi":null,"is_oa":false,"landing_page_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2221&context=etd","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:scholarsarchive.byu.edu:etd-2221","doi":null,"is_oa":true,"landing_page_url":"https://scholarsarchive.byu.edu/etd/1222","pdf_url":"https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2221&context=etd","source":{"id":"https://openalex.org/S4377196308","display_name":"ScholarsArchive  (Brigham Young University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I100005738","host_organization_name":"Brigham Young University","host_organization_lineage":["https://openalex.org/I100005738"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theses and Dissertations","raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W823910107.pdf","grobid_xml":"https://content.openalex.org/works/W823910107.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W183139520","https://openalex.org/W1513468570","https://openalex.org/W1521977997","https://openalex.org/W1523067185","https://openalex.org/W1542941925","https://openalex.org/W1551034208","https://openalex.org/W1556191380","https://openalex.org/W1587589241","https://openalex.org/W1594602740","https://openalex.org/W1594871463","https://openalex.org/W1603313671","https://openalex.org/W1607392272","https://openalex.org/W1641379095","https://openalex.org/W1656616331","https://openalex.org/W1812360833","https://openalex.org/W2012661833","https://openalex.org/W2053616263","https://openalex.org/W2054716087","https://openalex.org/W2062663664","https://openalex.org/W2065821056","https://openalex.org/W2067483065","https://openalex.org/W2085721797","https://openalex.org/W2103437045","https://openalex.org/W2104602264","https://openalex.org/W2106887613","https://openalex.org/W2117255278","https://openalex.org/W2120327309","https://openalex.org/W2121180068","https://openalex.org/W2121863487","https://openalex.org/W2128862550","https://openalex.org/W2134035250","https://openalex.org/W2138362680","https://openalex.org/W2143256202","https://openalex.org/W2147492008","https://openalex.org/W2148825261","https://openalex.org/W2170720442","https://openalex.org/W2330024298","https://openalex.org/W2912185451","https://openalex.org/W3011120880"],"related_works":["https://openalex.org/W361876","https://openalex.org/W2147899383","https://openalex.org/W7098543245","https://openalex.org/W2103038872","https://openalex.org/W2065821056","https://openalex.org/W7096597637","https://openalex.org/W1605974243","https://openalex.org/W2901559512","https://openalex.org/W7095987282","https://openalex.org/W2105643086"],"abstract_inverted_index":{"Policy":[0],"Hill":[1],"Climbing":[2],"(PHC)":[3],"is":[4,41,45,96],"a":[5],"reinforcement":[6],"learning":[7],"algorithm":[8],"that":[9,31],"extends":[10,20],"Q-learning":[11],"to":[12,48,64,67,104],"learn":[13,26],"probabilistic":[14],"policies":[15],"for":[16],"multi-agent":[17],"games.":[18],"WoLF-PHC":[19,44,53,84,88],"PHC":[21,32],"with":[22],"the":[23,68],"\"win":[24],"or":[25],"fast\"\u009d":[27],"principle.":[28],"A":[29],"proof":[30],"will":[33],"diverge":[34,49],"in":[35,61,77],"self-play":[36,78],"when":[37,73],"playing":[38,74],"Shapley's":[39,75,94],"game":[40,76],"given,":[42],"and":[43,59,102],"shown":[46,103],"empirically":[47],"as":[50],"well.":[51],"Various":[52],"based":[54],"modifications":[55],"were":[56],"created,":[57],"evaluated,":[58],"compared":[60],"an":[62],"attempt":[63],"obtain":[65],"convergence":[66],"single":[69],"shot":[70],"Nash":[71],"equilibrium":[72],"without":[79],"using":[80],"more":[81],"information":[82],"than":[83],"uses.":[85],"Partial":[86],"Commitment":[87],"(PCWoLF-PHC),":[89],"which":[90],"performs":[91],"best":[92],"on":[93,98],"game,":[95],"tested":[97],"other":[99],"matrix":[100],"games":[101],"produce":[105],"satisfactory":[106],"results.":[107]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2016-06-24T00:00:00"}