{"id":"https://openalex.org/W2470542637","doi":"https://doi.org/10.37236/6299","title":"Transitive Avoidance Games","display_name":"Transitive Avoidance Games","publication_year":2017,"publication_date":"2017-03-31","ids":{"openalex":"https://openalex.org/W2470542637","doi":"https://doi.org/10.37236/6299","mag":"2470542637"},"language":"en","primary_location":{"id":"doi:10.37236/6299","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6299","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/6299","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111642018","display_name":"J. Robert Johnson","orcid":null},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"J. Robert Johnson","raw_affiliation_strings":["Queen Mary University of London"],"affiliations":[{"raw_affiliation_string":"Queen Mary University of London","institution_ids":["https://openalex.org/I166337079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050380592","display_name":"Imre Leader","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Imre Leader","raw_affiliation_strings":["University of Cambridge"],"affiliations":[{"raw_affiliation_string":"University of Cambridge","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086960645","display_name":"Mark Walters","orcid":null},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mark Walters","raw_affiliation_strings":["Queen Mary University of London"],"affiliations":[{"raw_affiliation_string":"Queen Mary University of London","institution_ids":["https://openalex.org/I166337079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111642018"],"corresponding_institution_ids":["https://openalex.org/I166337079"],"apc_list":null,"apc_paid":null,"fwci":0.7801,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78011485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"24","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9919000267982483,"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/T11574","display_name":"Artificial Intelligence in Games","score":0.9919000267982483,"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":0.9402999877929688,"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/transitive-relation","display_name":"Transitive relation","score":0.8724331855773926},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.6889296770095825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5802068710327148},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5669462084770203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49092891812324524},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4831809103488922},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.48305803537368774},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4557083249092102},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.42907658219337463},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.42865633964538574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33184951543807983},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3284894526004791},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1637674868106842}],"concepts":[{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.8724331855773926},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.6889296770095825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5802068710327148},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5669462084770203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49092891812324524},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4831809103488922},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.48305803537368774},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4557083249092102},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.42907658219337463},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.42865633964538574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33184951543807983},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3284894526004791},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1637674868106842},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/6299","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6299","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/6299","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6299","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2071306797","https://openalex.org/W26097285","https://openalex.org/W3139383627","https://openalex.org/W2039104542","https://openalex.org/W2067232667","https://openalex.org/W4214679513","https://openalex.org/W1473969641","https://openalex.org/W4377081010","https://openalex.org/W4302440449","https://openalex.org/W1601825619"],"abstract_inverted_index":{"Positional":[0],"games":[1,121,143],"are":[2,28,119,123,131],"a":[3,21,38,58,72,89,135],"well-studied":[4],"class":[5],"of":[6,103,137],"combinatorial":[7],"games.":[8],"In":[9],"their":[10],"usual":[11],"form,":[12,65],"two":[13],"players":[14],"take":[15],"turns":[16],"to":[17,35,69,82,115],"play":[18],"moves":[19],"in":[20],"set":[22,39,73],"('the":[23],"board'),":[24],"and":[25,156],"certain":[26],"subsets":[27],"designated":[29],"as":[30,149],"'winning':":[31],"the":[32,41,54,61,66,75,85,95,104,107],"first":[33,67],"person":[34,68],"occupy":[36,70],"such":[37,71,142,148],"wins":[40],"game.":[42,76],"For":[43],"these":[44],"games,":[45],"it":[46,78],"is":[47,97,112],"well":[48],"known":[49],"that":[50,84,100,122,141],"(with":[51],"correct":[52],"play)":[53],"game":[55,86,96],"cannot":[56,87],"be":[57,80,88],"second-player":[59],"win.In":[60],"avoidance":[62],"(or":[63],"mis\u00e8re)":[64],"loses":[74],"Here":[77],"would":[79],"natural":[81],"expect":[83],"first-player":[90,124],"win,":[91],"at":[92],"least":[93],"if":[94],"transitive,":[98],"meaning":[99],"all":[101,127],"points":[102],"board":[105,128],"look":[106],"same.":[108],"Our":[109],"main":[110],"result":[111],"that,":[113],"contrary":[114],"this":[116],"expectation,":[117],"there":[118],"transitive":[120],"wins,":[125],"for":[126],"sizes":[129],"which":[130],"not":[132],"prime":[133],"or":[134],"power":[136],"2.Further,":[138],"we":[139],"show":[140],"can":[144],"have":[145],"additional":[146],"properties":[147],"stronger":[150],"transitivity":[151],"conditions,":[152],"fast":[153],"winning":[154,158],"times,":[155],"'small'":[157],"sets.":[159]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
