Equivalent Results in MinimaxTheory

J.B.G. Frenk (), G. Kassay and J. Kolumbán
Additional contact information
J.B.G. Frenk: Econometric Institute, Faculty of Economics, Erasmus University Rotterdam, and Tinbergen Institute
G. Kassay: Department of Mathematics, Babes Bolyai University, Cluj
J. Kolumbán: Department of Mathematics, Babes Bolyai University, Cluj

No 02-009/4, Tinbergen Institute Discussion Papers from Tinbergen Institute

Abstract: In this paper we review known minimax results with applications in game theory and showthat these results are easy consequences of the first minimax result for a two person zero sumgame with finite strategy sets published by von Neumann in 1928. Among these results are thewell known minimax theorems of Wald, Ville and Kneser and their generalizations due to Kakutani,Ky-Fan. Konig. Neumann and Gwinner-Oettli. Actually it is shown that these results form anequivalent chain and this chain includes the strong separation result in finite dimensional spacesbetween two disjoint closed convex sets of which one is compact. To show these implicationsthe authors only use simple properties of compact sets and the well-known Weierstrass Lebesgue lemma.

Date: 2002-02-06
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://papers.tinbergen.nl/02009.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:tin:wpaper:20020009

Access Statistics for this paper

More papers in Tinbergen Institute Discussion Papers from Tinbergen Institute Contact information at EDIRC.
Bibliographic data for series maintained by Tinbergen Office +31 (0)10-4088900 ().