{"id":"https://openalex.org/W2136323716","doi":"https://doi.org/10.37236/358","title":"Yet Another Hat Game","display_name":"Yet Another Hat Game","publication_year":2010,"publication_date":"2010-06-07","ids":{"openalex":"https://openalex.org/W2136323716","doi":"https://doi.org/10.37236/358","mag":"2136323716"},"language":"en","primary_location":{"id":"doi:10.37236/358","is_oa":true,"landing_page_url":"https://doi.org/10.37236/358","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r86/pdf","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":null,"license_id":null,"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://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r86/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013118322","display_name":"Maura B. Paterson","orcid":"https://orcid.org/0000-0002-3515-8436"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I98259816","display_name":"Birkbeck, University of London","ror":"https://ror.org/02mb95055","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I98259816"]}],"countries":["CA","GB"],"is_corresponding":false,"raw_author_name":"Maura B. Paterson","raw_affiliation_strings":["Department of Economics, Mathematics and Statistics Birkbeck, University of London Malet Street, London WC1E 7HX, UK","School of Computer Science University of Waterloo Waterloo Ontario, N2L 3G1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economics, Mathematics and Statistics Birkbeck, University of London Malet Street, London WC1E 7HX, UK","institution_ids":["https://openalex.org/I98259816"]},{"raw_affiliation_string":"School of Computer Science University of Waterloo Waterloo Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021938024","display_name":"Douglas R. Stinson","orcid":"https://orcid.org/0000-0001-5635-8122"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I98259816","display_name":"Birkbeck, University of London","ror":"https://ror.org/02mb95055","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I98259816"]}],"countries":["CA","GB"],"is_corresponding":false,"raw_author_name":"Douglas R. Stinson","raw_affiliation_strings":["Department of Economics, Mathematics and Statistics Birkbeck, University of London Malet Street, London WC1E 7HX, UK","School of Computer Science University of Waterloo Waterloo Ontario, N2L 3G1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economics, Mathematics and Statistics Birkbeck, University of London Malet Street, London WC1E 7HX, UK","institution_ids":["https://openalex.org/I98259816"]},{"raw_affiliation_string":"School of Computer Science University of Waterloo Waterloo Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9555,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77201273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9922999739646912,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9642999768257141,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.6590615510940552},{"id":"https://openalex.org/keywords/publicity","display_name":"Publicity","score":0.5526911020278931},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5251379013061523},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.5096821784973145},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.48479074239730835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4768827557563782},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.46847003698349},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.4633304178714752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.440005362033844},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.10741066932678223}],"concepts":[{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.6590615510940552},{"id":"https://openalex.org/C2776003135","wikidata":"https://www.wikidata.org/wiki/Q1333727","display_name":"Publicity","level":2,"score":0.5526911020278931},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5251379013061523},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.5096821784973145},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.48479074239730835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4768827557563782},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.46847003698349},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.4633304178714752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.440005362033844},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.10741066932678223},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/358","is_oa":true,"landing_page_url":"https://doi.org/10.37236/358","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r86/pdf","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":null,"license_id":null,"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:10.37236/358","is_oa":true,"landing_page_url":"https://doi.org/10.37236/358","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r86/pdf","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2136323716.pdf","grobid_xml":"https://content.openalex.org/works/W2136323716.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W85167540","https://openalex.org/W114085117","https://openalex.org/W1490805239","https://openalex.org/W1564417539","https://openalex.org/W1942351734","https://openalex.org/W1987343909","https://openalex.org/W2045203810","https://openalex.org/W2139771831","https://openalex.org/W2611287588"],"related_works":["https://openalex.org/W2071306797","https://openalex.org/W2119845623","https://openalex.org/W1557018980","https://openalex.org/W4210868699","https://openalex.org/W4242695085","https://openalex.org/W57172406","https://openalex.org/W3131253889","https://openalex.org/W3160337873","https://openalex.org/W26097285","https://openalex.org/W2758525559"],"abstract_inverted_index":{"Several":[0],"different":[1],"\"hat":[2],"games\"":[3],"have":[4,43,52,64],"recently":[5],"received":[6],"a":[7,14,80,99,105],"fair":[8],"amount":[9,82],"of":[10,40,83,107],"attention.":[11],"Typically,":[12],"in":[13,48,58,85],"hat":[15,27,36,101],"game,":[16],"one":[17],"or":[18],"more":[19],"players":[20],"are":[21],"required":[22],"to":[23,54,66],"correctly":[24],"guess":[25],"their":[26],"colour":[28],"when":[29],"given":[30],"some":[31,62],"information":[32],"about":[33],"other":[34],"players'":[35],"colours.":[37],"Some":[38],"versions":[39],"these":[41,108],"games":[42,110],"been":[44],"motivated":[45],"by":[46],"research":[47,56],"complexity":[49],"theory":[50],"and":[51,61,89,92,111],"ties":[53],"well-known":[55],"problems":[57],"coding":[59],"theory,":[60],"variations":[63],"led":[65],"interesting":[67,132],"new":[68,100,119],"research.":[69],"In":[70],"this":[71],"paper,":[72],"we":[73,97],"review":[74],"Ebert's":[75],"Hat":[76],"Game,":[77],"which":[78,103],"garnered":[79],"considerable":[81],"publicity":[84],"the":[86,93,118,128],"late":[87],"90's":[88],"early":[90],"00's,":[91],"Hats-on-a-line":[94],"Game.":[95],"Then":[96],"introduce":[98],"game":[102],"is":[104,124],"\"hybrid\"":[106],"two":[109],"provide":[112],"an":[113,131],"optimal":[114,122],"strategy":[115,123],"for":[116],"playing":[117],"game.":[120],"The":[121],"quite":[125],"simple,":[126],"but":[127],"proof":[129],"involves":[130],"combinatorial":[133],"argument.":[134]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}