{"id":"https://openalex.org/W2508067833","doi":"https://doi.org/10.1142/s0219198918500147","title":"Two Person Zero-Sum Game with Two Sets of Strategic Variables","display_name":"Two Person Zero-Sum Game with Two Sets of Strategic Variables","publication_year":2018,"publication_date":"2018-09-25","ids":{"openalex":"https://openalex.org/W2508067833","doi":"https://doi.org/10.1142/s0219198918500147","mag":"2508067833"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198918500147","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198918500147","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023094916","display_name":"Atsuhiro Satoh","orcid":"https://orcid.org/0000-0002-0649-3614"},"institutions":[{"id":"https://openalex.org/I91764395","display_name":"Hokkai Gakuen University","ror":"https://ror.org/05h9h0e34","country_code":"JP","type":"education","lineage":["https://openalex.org/I91764395"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Atsuhiro Satoh","raw_affiliation_strings":["Faculty of Economics, Hokkai-Gakuen University, Toyohira-ku, Sapporo, Hokkaido, 062-8605, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Economics, Hokkai-Gakuen University, Toyohira-ku, Sapporo, Hokkaido, 062-8605, Japan","institution_ids":["https://openalex.org/I91764395"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007696556","display_name":"Yasuhito Tanaka","orcid":"https://orcid.org/0000-0003-1435-462X"},"institutions":[{"id":"https://openalex.org/I133984924","display_name":"Doshisha University","ror":"https://ror.org/01fxdkm29","country_code":"JP","type":"education","lineage":["https://openalex.org/I133984924"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasuhito Tanaka","raw_affiliation_strings":["Faculty of Economics, Doshisha University, Kamigyo-ku, Kyoto, 602-8580, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Economics, Doshisha University, Kamigyo-ku, Kyoto, 602-8580, Japan","institution_ids":["https://openalex.org/I133984924"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023094916"],"corresponding_institution_ids":["https://openalex.org/I91764395"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00198317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"21","issue":"03","first_page":"1850014","last_page":"1850014"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9991000294685364,"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/T12137","display_name":"Economic theories and models","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9908000230789185,"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/combinatorics","display_name":"Combinatorics","score":0.5221762657165527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5194470286369324},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4607900083065033},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.07764649391174316}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5221762657165527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5194470286369324},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4607900083065033},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.07764649391174316},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219198918500147","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198918500147","pdf_url":null,"source":{"id":"https://openalex.org/S130757258","display_name":"International Game Theory Review","issn_l":"0219-1989","issn":["0219-1989","1793-6675"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Game Theory Review","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:21:y:2019:i:03:n:s0219198918500147","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198918500147","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7593302595","display_name":null,"funder_award_id":"15K03481","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8245198541","display_name":null,"funder_award_id":"18K01594","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1782776858","https://openalex.org/W1973382844","https://openalex.org/W1985077192","https://openalex.org/W2044149162","https://openalex.org/W2062957830","https://openalex.org/W2064931475","https://openalex.org/W2067083294","https://openalex.org/W2149149450","https://openalex.org/W2160086716","https://openalex.org/W2588002530","https://openalex.org/W2754724132"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2142036596"],"abstract_inverted_index":{"We":[0,132],"consider":[1],"a":[2],"two-person":[3],"zero-sum":[4],"game":[5],"with":[6],"two":[7],"sets":[8],"of":[9,37,48,140],"strategic":[10],"variables":[11],"which":[12],"are":[13,19,142],"related":[14],"by":[15,21,165,183,201,219],"invertible":[16],"functions.":[17],"They":[18],"denoted":[20],"[Formula:":[22,26,41,52,55,64,69,74,82,87,92,100,105,110,119,124,129,157,161,166,175,179,184,193,197,202,211,215,220],"see":[23,27,42,53,56,65,70,75,83,88,93,101,106,111,120,125,130,158,162,167,176,180,185,194,198,203,212,216,221],"text]":[24,28,57,66,71,84,89,102,107,121,126,159,163,177,181,195,199,213,217],"and":[25,32,61,79,97,113,116,154,160,172,178,190,196,208,214],"for":[29,67,85,103,122],"players":[30],"A":[31,39,153,171,189,207],"B.":[33],"The":[34],"payoff":[35,46],"function":[36,47],"Player":[38,49],"is":[40,51,58],"text].":[43,54],"Then,":[44],"the":[45,136,148],"B":[50,155,173,191,209],"upper":[59,77],"semi-continuous":[60,78,96,115],"quasi-concave":[62,80],"on":[63,81,99,118],"each":[68,73,86,91,104,109,123,128],"(or":[72,90,108,127],"text]),":[76,94],"lower":[95,114],"quasi-convex":[98,117],"text],":[112],"text]).":[131,168,186,204,222],"will":[133],"show":[134],"that":[135,144],"following":[137],"four":[138],"patterns":[139],"competition":[141],"equivalent,":[143],"is,":[145],"they":[146],"yield":[147],"same":[149],"outcome.":[150],"(1)":[151],"Players":[152,170,188,206],"choose":[156,174,192,210],"(competition":[164,182,200,218],"(2)":[169],"(3)":[187],"(4)":[205]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}