{"id":"https://openalex.org/W3129624323","doi":"https://doi.org/10.1007/s00182-021-00763-3","title":"A note on a Tarski type fixed-point theorem","display_name":"A note on a Tarski type fixed-point theorem","publication_year":2021,"publication_date":"2021-02-11","ids":{"openalex":"https://openalex.org/W3129624323","doi":"https://doi.org/10.1007/s00182-021-00763-3","mag":"3129624323"},"language":"en","primary_location":{"id":"doi:10.1007/s00182-021-00763-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-021-00763-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-021-00763-3.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00182-021-00763-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030927162","display_name":"Roberto Ricci","orcid":"https://orcid.org/0000-0002-8938-0278"},"institutions":[{"id":"https://openalex.org/I201324441","display_name":"University of Ferrara","ror":"https://ror.org/041zkgm14","country_code":"IT","type":"education","lineage":["https://openalex.org/I201324441"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Roberto Ghiselli Ricci","raw_affiliation_strings":["Department of Economics and Management, University of Ferrara, Ferrara, Italy"],"raw_orcid":"https://orcid.org/0000-0002-8938-0278","affiliations":[{"raw_affiliation_string":"Department of Economics and Management, University of Ferrara, Ferrara, Italy","institution_ids":["https://openalex.org/I201324441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030927162"],"corresponding_institution_ids":["https://openalex.org/I201324441"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.3467,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59975623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"50","issue":"3","first_page":"751","last_page":"758"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9983000159263611,"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":0.989300012588501,"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/intersection","display_name":"Intersection (aeronautics)","score":0.794648289680481},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.7781080603599548},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6722383499145508},{"id":"https://openalex.org/keywords/kakutani-fixed-point-theorem","display_name":"Kakutani fixed-point theorem","score":0.6079391241073608},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.55540531873703},{"id":"https://openalex.org/keywords/brouwer-fixed-point-theorem","display_name":"Brouwer fixed-point theorem","score":0.5125281810760498},{"id":"https://openalex.org/keywords/intersection-theorem","display_name":"Intersection theorem","score":0.48718827962875366},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.47138768434524536},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4490981698036194},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4411766231060028},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4404255449771881},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34671521186828613},{"id":"https://openalex.org/keywords/danskins-theorem","display_name":"Danskin's theorem","score":0.34487685561180115},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34338605403900146},{"id":"https://openalex.org/keywords/schauder-fixed-point-theorem","display_name":"Schauder fixed point theorem","score":0.28449058532714844},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13914090394973755}],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.794648289680481},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.7781080603599548},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6722383499145508},{"id":"https://openalex.org/C134618013","wikidata":"https://www.wikidata.org/wiki/Q518524","display_name":"Kakutani fixed-point theorem","level":5,"score":0.6079391241073608},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.55540531873703},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.5125281810760498},{"id":"https://openalex.org/C119050217","wikidata":"https://www.wikidata.org/wiki/Q17101806","display_name":"Intersection theorem","level":5,"score":0.48718827962875366},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.47138768434524536},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4490981698036194},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4411766231060028},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4404255449771881},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34671521186828613},{"id":"https://openalex.org/C48540410","wikidata":"https://www.wikidata.org/wiki/Q5221089","display_name":"Danskin's theorem","level":4,"score":0.34487685561180115},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34338605403900146},{"id":"https://openalex.org/C28642324","wikidata":"https://www.wikidata.org/wiki/Q656176","display_name":"Schauder fixed point theorem","level":4,"score":0.28449058532714844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13914090394973755},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00182-021-00763-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-021-00763-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-021-00763-3.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jogath:v:50:y:2021:i:3:d:10.1007_s00182-021-00763-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00182-021-00763-3","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:iris.unive.it:10278/5043220","is_oa":true,"landing_page_url":"https://hdl.handle.net/10278/5043220","pdf_url":null,"source":{"id":"https://openalex.org/S4306402336","display_name":"ARCA (Universit\u00e0 Ca' Foscari Venezia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149461666","host_organization_name":"Ca' Foscari University of Venice","host_organization_lineage":["https://openalex.org/I149461666"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:zenodo.org:79765","is_oa":true,"landing_page_url":"https://www.openaccessrepository.it/record/79765","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00182-021-00763-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00182-021-00763-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00182-021-00763-3.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324162","display_name":"Universit\u00e0 degli Studi di Ferrara","ror":"https://ror.org/041zkgm14"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3129624323.pdf","grobid_xml":"https://content.openalex.org/works/W3129624323.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W2046213250","https://openalex.org/W2084312524","https://openalex.org/W2084378950","https://openalex.org/W2085955062","https://openalex.org/W2092808281","https://openalex.org/W2141010816","https://openalex.org/W2756066984","https://openalex.org/W4251507077"],"related_works":["https://openalex.org/W2386724422","https://openalex.org/W3160581193","https://openalex.org/W2349910014","https://openalex.org/W1999790793","https://openalex.org/W2371086956","https://openalex.org/W2364314673","https://openalex.org/W561403299","https://openalex.org/W1891709587","https://openalex.org/W208813653","https://openalex.org/W2357252996"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3],"we":[4],"propose":[5],"a":[6],"basic":[7],"fixed-point":[8],"theorem":[9],"for":[10,33],"correspondences":[11],"inspired":[12],"by":[13],"Tarski\u2019s":[14],"intersection":[15],"point":[16],"theorem.":[17],"This":[18],"result":[19],"furnishes":[20],"an":[21],"efficient":[22],"tool":[23],"to":[24],"prove":[25],"the":[26],"existence":[27],"of":[28],"pure":[29],"strategy":[30],"Nash":[31],"equilibria":[32],"two":[34],"player":[35],"games":[36],"with":[37],"possibly":[38],"discontinuous":[39],"payoffs":[40],"functions":[41],"defined":[42],"on":[43],"compact":[44],"real":[45],"intervals.":[46]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}