{"id":"https://openalex.org/W1568061096","doi":"https://doi.org/10.37236/1940","title":"A Solution of Two-Person Single-Suit Whist","display_name":"A Solution of Two-Person Single-Suit Whist","publication_year":2005,"publication_date":"2005-09-05","ids":{"openalex":"https://openalex.org/W1568061096","doi":"https://doi.org/10.37236/1940","mag":"1568061096"},"language":"en","primary_location":{"id":"doi:10.37236/1940","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1940","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v12i1r43/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/v12i1r43/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087020456","display_name":"Johan W\u00e4stlund","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Johan W\u00e4stlund","raw_affiliation_strings":["Department of Mathematics Link\u00f6ping University, Link\u00f6ping, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Link\u00f6ping University, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087020456"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":null,"apc_paid":null,"fwci":0.4571,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.72962403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"12","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":0.9991000294685364,"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/T11574","display_name":"Artificial Intelligence in Games","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/T11674","display_name":"Sports Analytics and Performance","score":0.9294000267982483,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48587697744369507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47296422719955444},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.47195401787757874},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4609423875808716},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.44257625937461853},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4409744143486023},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.42772069573402405},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3610461354255676},{"id":"https://openalex.org/keywords/advertising","display_name":"Advertising","score":0.3346228003501892},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.2535072863101959},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.2433852255344391},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10008496046066284},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.09940245747566223}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48587697744369507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47296422719955444},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.47195401787757874},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4609423875808716},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.44257625937461853},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4409744143486023},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.42772069573402405},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3610461354255676},{"id":"https://openalex.org/C112698675","wikidata":"https://www.wikidata.org/wiki/Q37038","display_name":"Advertising","level":1,"score":0.3346228003501892},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.2535072863101959},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.2433852255344391},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10008496046066284},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.09940245747566223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/1940","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1940","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v12i1r43/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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.210.387","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.210.387","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ep.liu.se/ea/lsm/2005/003/lsm05003.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.7421","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.7421","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_12/PDF/v12i1r43.pdf","raw_type":"text"},{"id":"pmh:oai:DiVA.org:liu-62930","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-62930","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"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":"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":"Report"}],"best_oa_location":{"id":"doi:10.37236/1940","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1940","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v12i1r43/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":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1568061096.pdf","grobid_xml":"https://content.openalex.org/works/W1568061096.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W171727151","https://openalex.org/W599776711","https://openalex.org/W1568876978","https://openalex.org/W1606556972","https://openalex.org/W2008495461","https://openalex.org/W2011280299","https://openalex.org/W2065805058","https://openalex.org/W2089126825","https://openalex.org/W2894564506","https://openalex.org/W2914659449","https://openalex.org/W6631158602","https://openalex.org/W6636148407"],"related_works":["https://openalex.org/W1944601446","https://openalex.org/W87529998","https://openalex.org/W4247547172","https://openalex.org/W2498283248","https://openalex.org/W66826376","https://openalex.org/W1536703170","https://openalex.org/W2093330912","https://openalex.org/W3121344902","https://openalex.org/W3121758090","https://openalex.org/W2212357373"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2,18,22],"complete":[3,42],"solution":[4,128],"of":[5,9,21,27,31,47,51,72,78,86,139,142],"the":[6,32,45,48,52,81,92,96,100,135,143],"combinatorial":[7],"game":[8,14,136],"two-person":[10],"single-suit":[11],"whist.":[12],"This":[13],"is":[15,54],"played":[16,106],"with":[17,76,91],"deck":[19],"consisting":[20],"single":[23],"totally":[24],"ordered":[25],"suit":[26],"$2n$":[28],"cards.":[29,37,49,88,144],"Each":[30,117],"two":[33],"players":[34,40,53],"receives":[35],"$n$":[36],"Hence":[38],"both":[39],"have":[41],"information":[43],"about":[44],"distribution":[46,141],"One":[50],"said":[55],"to":[56,120],"be":[57],"on":[58,68],"lead.":[59,101],"Play":[60,110],"proceeds":[61],"in":[62],"rounds":[63],"called":[64],"tricks.":[65],"The":[66,89,102],"player":[67,83,90,118],"lead":[69],"plays":[70,84],"one":[71,85],"his":[73,87],"cards,":[74],"and":[75,98],"knowledge":[77],"this":[79],"card,":[80],"other":[82],"higher":[93],"card":[94],"wins":[95],"trick,":[97],"obtains":[99],"cards":[103,114],"that":[104],"are":[105,107,115],"then":[108],"removed.":[109],"continues":[111],"until":[112],"all":[113],"exhausted.":[116],"tries":[119],"win":[121],"as":[122,125],"many":[123],"tricks":[124],"possible.":[126],"Our":[127],"provides":[129],"an":[130],"efficient":[131],"algorithm":[132],"for":[133],"calculating":[134],"theoretical":[137],"value":[138],"any":[140]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
