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A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence

Bibliographic Details
Main Author: Ferreira, M. A. M.
Publication Date: 2020
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10071/20818
Summary: We present two results of Game Theory, very important in Economics: minimax theorem and Nash equilibrium existence, together with their mathematical fundamentals. For minimax theorem, the mathematical structure considered is real Hilbert spaces. Moreover, the convex sets strict separation plays here an important role. For Nash equilibrium existence, Kakutani's theorem is the key result to consider. Then follows a presentation of some propositions that identify matches between those outcomes.
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spelling A look on mathematical fundamentals for minimax theorem and Nash equilibrium existenceNash equilibriumKakutani theoremMinimax theoremWe present two results of Game Theory, very important in Economics: minimax theorem and Nash equilibrium existence, together with their mathematical fundamentals. For minimax theorem, the mathematical structure considered is real Hilbert spaces. Moreover, the convex sets strict separation plays here an important role. For Nash equilibrium existence, Kakutani's theorem is the key result to consider. Then follows a presentation of some propositions that identify matches between those outcomes.SPECTRUM STU2020-11-11T12:01:23Z2020-01-01T00:00:00Z20202020-12-17T11:45:52Zconference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10071/20818eng978-80-227-4983-1Ferreira, M. A. M.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-07T03:16:18Zoai:repositorio.iscte-iul.pt:10071/20818Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T18:19:26.395833Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence
title A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence
spellingShingle A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence
Ferreira, M. A. M.
Nash equilibrium
Kakutani theorem
Minimax theorem
title_short A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence
title_full A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence
title_fullStr A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence
title_full_unstemmed A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence
title_sort A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence
author Ferreira, M. A. M.
author_facet Ferreira, M. A. M.
author_role author
dc.contributor.author.fl_str_mv Ferreira, M. A. M.
dc.subject.por.fl_str_mv Nash equilibrium
Kakutani theorem
Minimax theorem
topic Nash equilibrium
Kakutani theorem
Minimax theorem
description We present two results of Game Theory, very important in Economics: minimax theorem and Nash equilibrium existence, together with their mathematical fundamentals. For minimax theorem, the mathematical structure considered is real Hilbert spaces. Moreover, the convex sets strict separation plays here an important role. For Nash equilibrium existence, Kakutani's theorem is the key result to consider. Then follows a presentation of some propositions that identify matches between those outcomes.
publishDate 2020
dc.date.none.fl_str_mv 2020-11-11T12:01:23Z
2020-01-01T00:00:00Z
2020
2020-12-17T11:45:52Z
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10071/20818
url http://hdl.handle.net/10071/20818
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-80-227-4983-1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv SPECTRUM STU
publisher.none.fl_str_mv SPECTRUM STU
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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