Minimax theorem

A minimax theorem is a theorem providing conditions that guarantee that the max–min inequality is also an equality. The first theorem in this sense… (More)
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1958-2017
051019582017

Papers overview

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2011
2011
A new topological minimax theorem is established for functions on C × R where C is a topological space. Although this theorem… (More)
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2011
2011
The celebrated von Neumann minimax theorem is a fundamental theorem in two-person zero-sum games. In this paper, we present a… (More)
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Highly Cited
2010
Highly Cited
2010
Introduction. Kakutani's fixed point theorem [3]1 states that in Euclidean «-space a closed point to (nonvoid) convex set map of… (More)
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2007
2007
This paper concerns a fractional function of the form x<sup>T</sup>alpha/radicx<sup>T</sup>Bx, where B is positive definite. We… (More)
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Highly Cited
2004
Highly Cited
2004
for all i, j . Thus in the (two-person, zero-sum) game with matrix Λf, player I has a strategy insuring an expected gain of at… (More)
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Highly Cited
2003
Highly Cited
2003
  • IGNACIO PALACIOS-HUERTA
  • 2003
The implications of the Minimax theorem are tested using natural data. The tests use a unique data set from penalty kicks in… (More)
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2002
2002
We present a topological minimax theorem (Theorem 2.2). The topological assumptions on the spaces involved are somewhat weaker… (More)
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2001
2001
The first purpose of this paper is to tell the history of John von Neumann’s development of the minimax theorem for two-person… (More)
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Highly Cited
1999
Highly Cited
1999
The theory behind the success of adaptive reweighting and combining algorithms (arcing) such as Adaboost (Freund & Schapire… (More)
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1978
1978
This minimax equality was conjectured about a decade ago by one of the authors ([7; page 43], [8], [9]) and, independently, by… (More)
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