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acessibilidade

http://hdl.handle.net/10071/20818
acessibilidade
Title: A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence
Authors: Ferreira, M. A. M.
Editors: Dagmar Szarková, Daniela Richtáriková, Monika Prásillová
Keywords: Nash equilibrium
Kakutani theorem
Minimax theorem
Issue Date: 2020
Publisher: SPECTRUM STU
Abstract: 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.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/20818
ISBN: 978-80-227-4983-1
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-68813
Appears in Collections:DM-CRI - Comunicações a conferências internacionais

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