Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/20818
Author(s): | Ferreira, M. A. M. |
Editor: | Dagmar Szarková, Daniela Richtáriková, Monika Prásillová |
Date: | 2020 |
Title: | A look on mathematical fundamentals for minimax theorem and Nash equilibrium existence |
Volume: | 1 |
Pages: | 418 - 424 |
Event title: | 19th Conference on Applied Mathematics APLIMAT 2020 |
ISBN: | 978-80-227-4983-1 |
Keywords: | Nash equilibrium Kakutani theorem Minimax theorem |
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. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | DM-CRI - Comunicações a conferências internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
APLIMAT_2020_paper_2 (85).pdf | Versão Aceite | 293,78 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.