{"id":"https://openalex.org/W2992496487","doi":null,"title":"Towards Bidding Connect Four","display_name":"Towards Bidding Connect Four","publication_year":2012,"publication_date":"2012-12-31","ids":{"openalex":"https://openalex.org/W2992496487","mag":"2992496487"},"language":"en","primary_location":{"id":"mag:2992496487","doi":null,"is_oa":false,"landing_page_url":"https://paperity.org/p/85238504/towards-bidding-connect-four","pdf_url":null,"source":{"id":"https://openalex.org/S2764715623","display_name":"Rose\u2013Hulman Undergraduate Mathematics Journal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Rose\u2013Hulman Undergraduate Mathematics Journal","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W2992496487"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://scholar.rose-hulman.edu/rhumj/vol13/iss1/1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002434739","display_name":"Kenny Goodfellow","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I192578771","display_name":"Rose\u2013Hulman Institute of Technology","ror":"https://ror.org/00mp6e841","country_code":"US","type":"education","lineage":["https://openalex.org/I192578771"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kenny Goodfellow","raw_affiliation_strings":["Rose-Hulman Institute of Technology;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rose-Hulman Institute of Technology;","institution_ids":["https://openalex.org/I192578771"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002434739"],"corresponding_institution_ids":["https://openalex.org/I192578771"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"1","first_page":"1","last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.48559999465942383,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.48559999465942383,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.33640000224113464,"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"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.04309999942779541,"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/bidding-game","display_name":"bidding game","score":0.6269999742507935},{"id":"https://openalex.org/keywords/winning-strategies","display_name":"winning strategies","score":0.6890000104904175},{"id":"https://openalex.org/keywords/game-theory","display_name":"game theory","score":0.4959999918937683},{"id":"https://openalex.org/keywords/tic-tac-toe","display_name":"Tic-Tac-Toe","score":0.8100000023841858},{"id":"https://openalex.org/keywords/match-analysis","display_name":"match analysis","score":0.3140000104904175}],"concepts":[{"id":"https://openalex.org/C9233905","wikidata":"https://www.wikidata.org/wiki/Q3276328","display_name":"Bidding","level":2,"score":0.9782214760780334},{"id":"https://openalex.org/C1525070","wikidata":"https://www.wikidata.org/wiki/Q2134714","display_name":"Real-time bidding","level":3,"score":0.7012165784835815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4842069149017334},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4559082090854645},{"id":"https://openalex.org/C143989560","wikidata":"https://www.wikidata.org/wiki/Q17011617","display_name":"Ebidding","level":3,"score":0.45329752564430237},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4432605504989624},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4230192303657532},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3916208744049072},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.3544090986251831},{"id":"https://openalex.org/C112698675","wikidata":"https://www.wikidata.org/wiki/Q37038","display_name":"Advertising","level":1,"score":0.33975744247436523},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2616690993309021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24726304411888123},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.24605128169059753},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14944720268249512}],"mesh":[],"locations_count":3,"locations":[{"id":"mag:2992496487","doi":null,"is_oa":false,"landing_page_url":"https://paperity.org/p/85238504/towards-bidding-connect-four","pdf_url":null,"source":{"id":"https://openalex.org/S2764715623","display_name":"Rose\u2013Hulman Undergraduate Mathematics Journal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Rose\u2013Hulman Undergraduate Mathematics Journal","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.434.9318","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.434.9318","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.rose-hulman.edu/mathjournal/archives/2012/vol13-n1/paper1/v13n1-1pd.pdf","raw_type":"text"},{"id":"pmh:oai:scholar.rose-hulman.edu:rhumj-1089","doi":null,"is_oa":true,"landing_page_url":"https://scholar.rose-hulman.edu/rhumj/vol13/iss1/1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196619","display_name":"Rose-Hulman Scholar (Rose\u2013Hulman Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I192578771","host_organization_name":"Rose\u2013Hulman Institute of Technology","host_organization_lineage":["https://openalex.org/I192578771"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Rose-Hulman Undergraduate Mathematics Journal","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:scholar.rose-hulman.edu:rhumj-1089","doi":null,"is_oa":true,"landing_page_url":"https://scholar.rose-hulman.edu/rhumj/vol13/iss1/1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196619","display_name":"Rose-Hulman Scholar (Rose\u2013Hulman Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I192578771","host_organization_name":"Rose\u2013Hulman Institute of Technology","host_organization_lineage":["https://openalex.org/I192578771"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Rose-Hulman Undergraduate Mathematics Journal","raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2992496487.pdf","grobid_xml":"https://content.openalex.org/works/W2992496487.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W17749007","https://openalex.org/W2134884877","https://openalex.org/W2970389316","https://openalex.org/W3037779091"],"related_works":["https://openalex.org/W7100471884","https://openalex.org/W2134884877","https://openalex.org/W4406023041","https://openalex.org/W4244581686","https://openalex.org/W3037748854","https://openalex.org/W2592152548","https://openalex.org/W3081994067","https://openalex.org/W3135443908","https://openalex.org/W1590118076","https://openalex.org/W2610315770"],"abstract_inverted_index":{"Abstract.":[0],"Allis":[1],"[1]":[2],"has":[3,15],"determined":[4,106],"that":[5],"the":[6,21,26,44,48,53,63,67,77,133],"player":[7,36],"who":[8],"goes":[9],"first":[10],"in":[11,86],"Connect":[12,113,121,136],"Four":[13],"always":[14],"a":[16,56,80,107,124],"winning":[17,108],"strategy.":[18,109],"We":[19,110],"consider":[20],"discrete":[22,33,102],"bidding":[23,75,103,112,120],"variation":[24],"of":[25,29,41,70,99],"game":[27,78],"instead":[28],"alternating":[30],"turns.":[31],"In":[32],"bidding,":[34],"each":[35],"holds":[37],"an":[38,97],"integer":[39],"number":[40,69],"chips,":[42],"and":[43,58,92,104,119,150],"players":[45],"bid":[46,54],"for":[47,135,147],"next":[49],"turn.":[50],"Whoever":[51],"wins":[52],"takes":[55],"turn":[57],"gives":[59],"his":[60],"chips":[61,71],"to":[62,76,142],"other":[64],"player;":[65],"thus,":[66],"total":[68],"stays":[72],"constant.":[73],"Introducing":[74],"alters":[79],"player\u2019s":[81],"strategy,":[82],"as":[83],"multiple":[84],"moves":[85],"succession":[87],"are":[88],"now":[89],"possible.":[90],"Develin":[91],"Payne":[93],"[2]":[94],"have":[95,105],"completed":[96],"analysis":[98],"Tic-Tac-Toe":[100],"using":[101],"analyze":[111],"Two":[114],"on":[115,123],"all":[116],"board":[117],"sizes":[118],"Three":[122],"3-by-3":[125],"board,":[126],"which":[127],"will":[128],"give":[129],"us":[130],"insight":[131],"into":[132],"strategy":[134],"Four.":[137],"Acknowledgements:":[138],"I":[139],"would":[140],"like":[141],"thank":[143],"Dr.":[144],"Catherine":[145],"Stenson":[146],"her":[148],"advice":[149]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2019-12-13T00:00:00"}
