{"id":"https://openalex.org/W2118138725","doi":"https://doi.org/10.1142/s0219198999000062","title":"STRONGLY CONSISTENT SOLUTIONS TO BALANCED TU GAMES","display_name":"STRONGLY CONSISTENT SOLUTIONS TO BALANCED TU GAMES","publication_year":1999,"publication_date":"1999-03-01","ids":{"openalex":"https://openalex.org/W2118138725","doi":"https://doi.org/10.1142/s0219198999000062","mag":"2118138725"},"language":"en","primary_location":{"id":"doi:10.1142/s0219198999000062","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198999000062","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/A5025058593","display_name":"Elena Yanovskaya","orcid":null},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"ELENA YANOVSKAYA","raw_affiliation_strings":["Insitute for Economics and Mathematics, Russian Academy of Sciences, Tchaikovsky st.1, 191187 St.Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Insitute for Economics and Mathematics, Russian Academy of Sciences, Tchaikovsky st.1, 191187 St.Petersburg, Russia","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025058593"],"corresponding_institution_ids":["https://openalex.org/I1313323035"],"apc_list":null,"apc_paid":null,"fwci":0.9964,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85825877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"01","issue":"01","first_page":"63","last_page":"85"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11031","display_name":"Game Theory and Applications","score":0.9962999820709229,"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/T11182","display_name":"Auction Theory and Applications","score":0.9919999837875366,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7393803596496582},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6787342429161072},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6099662184715271},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5816192030906677},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.5324654579162598},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.4925904870033264},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.4605196714401245},{"id":"https://openalex.org/keywords/solution-concept","display_name":"Solution concept","score":0.44303321838378906},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4401223659515381},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43220990896224976},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.35870200395584106},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.32486072182655334},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3209233283996582},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3145647943019867},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.24827244877815247},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16614598035812378}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7393803596496582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6787342429161072},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6099662184715271},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5816192030906677},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.5324654579162598},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4925904870033264},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.4605196714401245},{"id":"https://openalex.org/C11343654","wikidata":"https://www.wikidata.org/wiki/Q780008","display_name":"Solution concept","level":3,"score":0.44303321838378906},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4401223659515381},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43220990896224976},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.35870200395584106},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.32486072182655334},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3209233283996582},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3145647943019867},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.24827244877815247},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16614598035812378},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219198999000062","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219198999000062","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:01:y:1999:i:01:n:s0219198999000062","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219198999000062","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"},{"id":"pmh:oai:RePEc:wsi:igtrxx:v:01:y:1999:i:01:p:63-85","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&amp;id=pii:S0219198999000062","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2002261622","https://openalex.org/W2090077857","https://openalex.org/W2133953743"],"related_works":["https://openalex.org/W1536009559","https://openalex.org/W1969185016","https://openalex.org/W2103821767","https://openalex.org/W2111030377","https://openalex.org/W2037619003","https://openalex.org/W2952611531","https://openalex.org/W2408729172","https://openalex.org/W615573743","https://openalex.org/W2468739564","https://openalex.org/W4312141693"],"abstract_inverted_index":{"Consistency":[0],"properties":[1],"of":[2,11,16,31,38,46,61,89,126,164,170,176,186,200,222,227],"game":[3,52,65,88],"solutions":[4,24,105,145,159],"connect":[5],"between":[6],"themselves":[7],"the":[8,19,21,28,32,36,86,92,110,121,135,168,174,184,187,190,196,201,205,209,213,219,223,234,236],"solution":[9,53,172,202,231],"sets":[10,15,45],"games":[12,34,42],"with":[13,25,43,97,160],"different":[14,232],"players.":[17],"In":[18,109],"paper,":[20,111],"strongly":[22,68,107,118,229],"consistent":[23,69,103,119,230],"respect":[26,98],"to":[27,35,55,99,120,156,204],"Davis\u2013Maschler":[29],"definition":[30,169],"reduced":[33,87],"class":[37,57,122,175],"balanced":[39,127,177],"cooperative":[40,51,64],"TU":[41,63],"finite":[44],"players":[47],"are":[48,106,137,142,152,218],"considered.":[49],"A":[50],"\u03c3":[54],"a":[56,62,171,228],"[Formula:":[58,73,77,82,123],"see":[59,74,78,83,124],"text]":[60,75,79,84,125],"is":[66,85,167,181,242],"called":[67],"if":[70],"for":[71,173,183],"any":[72],"and":[76,96,117,134,238],",":[80],"where":[81],"\u0393":[90],"on":[91],"player":[93],"set":[94],"S":[95],"x.":[100],"Evidently,":[101],"all":[102],"single-valued":[104],"consistent.":[108],"we":[112,194],"characterise":[113,157],"anonymous,":[114],"covariant":[115],"bounded":[116],"games.":[128,179],"The":[129,215],"core,":[130],"its":[131,239],"relative":[132,240],"interior":[133,241],"prenucleolus":[136,188],"among":[138],"them.":[139],"However,":[140],"they":[141],"not":[143],"unique":[144],"satisfying":[146],"these":[147,158],"axioms.":[148],"Thus,":[149],"more":[150],"axioms":[151,166],"necessary":[153],"in":[154],"order":[155],"strong":[161],"consistency.":[162],"One":[163],"such":[165],"two-person":[178],"It":[180],"sufficient":[182],"axiomatisation":[185],"without":[189],"single-valuedness":[191],"axiom.":[192],"If":[193],"add":[195],"closed":[197],"graph":[198],"property":[199],"correspondence":[203],"given":[206],"axioms,":[207],"then":[208],"system":[210],"characterises":[211],"only":[212],"core.":[214],"two":[216],"axiomatisations":[217],"main":[220],"result":[221],"paper.":[224],"An":[225],"example":[226],"from":[233],"prenucleolus,":[235],"core":[237],"given.":[243]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
