{"id":"https://openalex.org/W1994265151","doi":"https://doi.org/10.1007/s00182-010-0258-2","title":"A new class of convex games on \u03c3-algebras and the optimal partitioning of measurable spaces","display_name":"A new class of convex games on \u03c3-algebras and the optimal partitioning of measurable spaces","publication_year":2010,"publication_date":"2010-10-26","ids":{"openalex":"https://openalex.org/W1994265151","doi":"https://doi.org/10.1007/s00182-010-0258-2","mag":"1994265151"},"language":"en","primary_location":{"id":"doi:10.1007/s00182-010-0258-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00182-010-0258-2","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","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/A5040496706","display_name":"Nobusumi Sagara","orcid":"https://orcid.org/0000-0001-8049-2727"},"institutions":[{"id":"https://openalex.org/I204291657","display_name":"Hosei University","ror":"https://ror.org/00bx6dj65","country_code":"JP","type":"education","lineage":["https://openalex.org/I204291657"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Nobusumi Sagara","raw_affiliation_strings":["Faculty of Economics, Hosei University, 4342, Aihara, Machida, Tokyo, 194-0298, Japan","H\u00f4sei University"],"affiliations":[{"raw_affiliation_string":"Faculty of Economics, Hosei University, 4342, Aihara, Machida, Tokyo, 194-0298, Japan","institution_ids":["https://openalex.org/I204291657"]},{"raw_affiliation_string":"H\u00f4sei University","institution_ids":["https://openalex.org/I204291657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062179552","display_name":"Milan Vlach","orcid":"https://orcid.org/0000-0001-6859-8414"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Milan Vlach","raw_affiliation_strings":["School of Mathematics and Physics, Charles University, Malostransk\u00e9 n\u00e1m\u011bst\u00ed 25, 118 00, Praha 1, Czech Republic","Charles University,"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Charles University, Malostransk\u00e9 n\u00e1m\u011bst\u00ed 25, 118 00, Praha 1, Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Charles University,","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040496706"],"corresponding_institution_ids":["https://openalex.org/I204291657"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.0042,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.9518536,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"40","issue":"3","first_page":"617","last_page":"630"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"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/T12137","display_name":"Economic theories and models","score":0.998199999332428,"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/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"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/convexity","display_name":"Convexity","score":0.8253527283668518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7627897262573242},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7257674932479858},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6174808740615845},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5988740921020508},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5988619327545166},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5826631188392639},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.5523982048034668},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.5186632871627808},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.47093072533607483},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4589861333370209},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42372068762779236},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4126279354095459},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.33109986782073975},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.23546737432479858},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14289695024490356}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.8253527283668518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7627897262573242},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7257674932479858},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6174808740615845},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5988740921020508},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5988619327545166},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5826631188392639},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.5523982048034668},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.5186632871627808},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.47093072533607483},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4589861333370209},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42372068762779236},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4126279354095459},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33109986782073975},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.23546737432479858},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14289695024490356},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00182-010-0258-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00182-010-0258-2","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.539.7452","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.539.7452","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kier.kyoto-u.ac.jp/~geta2009/paper/geta2009Sagara.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:jogath:v:40:y:2011:i:3:p:617-630","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00182-010-0258-2","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W192075423","https://openalex.org/W1660564827","https://openalex.org/W1981320798","https://openalex.org/W1981381760","https://openalex.org/W1992619071","https://openalex.org/W1995334767","https://openalex.org/W1998788558","https://openalex.org/W2000225984","https://openalex.org/W2014476858","https://openalex.org/W2016199854","https://openalex.org/W2036837037","https://openalex.org/W2049849451","https://openalex.org/W2052474172","https://openalex.org/W2053205169","https://openalex.org/W2074624294","https://openalex.org/W2078900619","https://openalex.org/W2080413328","https://openalex.org/W2080914712","https://openalex.org/W2085648025","https://openalex.org/W2089867234","https://openalex.org/W2089893727","https://openalex.org/W2096782225","https://openalex.org/W2159241449","https://openalex.org/W2188911786","https://openalex.org/W2276964792","https://openalex.org/W2335062971","https://openalex.org/W2401223497","https://openalex.org/W2913494143","https://openalex.org/W3124320084","https://openalex.org/W3124788966","https://openalex.org/W4237227763","https://openalex.org/W4248114999","https://openalex.org/W4255034261","https://openalex.org/W4256264166"],"related_works":["https://openalex.org/W1964872188","https://openalex.org/W2187391117","https://openalex.org/W1981809986","https://openalex.org/W2949367465","https://openalex.org/W2587048717","https://openalex.org/W4378552409","https://openalex.org/W2064868327","https://openalex.org/W2284792853","https://openalex.org/W2169871246","https://openalex.org/W4234917441"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
