mathematical area of game theory and of convex optimization, a minimax theorem is a theorem that claims that max x ∈ X min y ∈ Y f ( x , y ) = min y ∈ Y...

Minimax (sometimes Minmax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy...

particularly for applications of Sion's minimax theorem. Generalizing a minimax theorem of John von Neumann, Sion's theorem is also used in the theory of partial...

framework of the spectral theorem for self-adjoint operators on Hilbert spaces. Quantum versions of Von Neumann's minimax theorem were proved. Quantum game...

who first proposed it in a 1977 paper. It is closely related to the minimax theorem in the theory of zero-sum games, and to the duality theory of linear...

or non-competitive. Zero-sum games are most often solved with the minimax theorem which is closely related to linear programming duality, or with Nash...

Manipulated Nash equilibrium Mexican standoff – Type of confrontation Minimax theorem – Gives conditions that guarantee the max–min inequality holds with...

a formal application of Bayes' theorem⁠ — among them books by Gill and Henze. Use of the odds form of Bayes' theorem, often called Bayes' rule, makes...

fixed-point theorem (fixed points) Envelope theorem (calculus of variations) Isoperimetric theorem (curves, calculus of variations) Minimax theorem (game theory)...

mathematician. He is known for having proved an extension of von Neumman's minimax theorem, as well as contributions in the fields of statistics and economics...

doi:10.1016/0012-365X(72)90006-4, MR 0302480. Lovász, László (1974), "Minimax theorems for hypergraphs", Hypergraph Seminar (Proc. First Working Sem., Ohio...

estimator (estimation rule) δ M {\displaystyle \delta ^{M}\,\!} is called minimax if its maximal risk is minimal among all estimators of θ {\displaystyle...

for every function. A theorem giving conditions on f, W, and Z which guarantee the saddle point property is called a minimax theorem. Define g ( z ) ≜ inf...

theorem, the Closed Graph Theorem implies that the two statements are equivalent. The Kakutani fixed point theorem can be used to prove the minimax theorem...

strategy sets are spanned by a finite number of strategies, then by the minimax theorem, min μ G max μ D L ( μ G , μ D ) = max μ D min μ G L ( μ G , μ D )...

the field of game theory as a mathematical discipline. He proved his minimax theorem in 1928. It establishes that in zero-sum games with perfect information...

The Courant minimax principle, a characterization of the eigenvalues of a real symmetric matrix Minimax theorem, one of a number of theorems relating to...

Interdisciplinary Information Sciences (IIIS) at Tsinghua University. Yao used the minimax theorem to prove what is now known as Yao's principle. Yao was raised in Taiwan...

In game theory, folk theorems are a class of theorems describing an abundance of Nash equilibrium payoff profiles in repeated games (Friedman 1971). The...

particular, Konig's theorem. The Minimax theorem for zero-sum games can be proved using the strong-duality theorem.: sub.8.1  Sometimes, one may find...

Arrow's impossibility theorem is a key result in social choice theory showing that no ranking-based decision rule for a group can satisfy the requirements...

Hyperbolic equilibrium point Hyperbolic geometry Minimax theorem Max–min inequality Mountain pass theorem Howard Anton, Irl Bivens, Stephen Davis (2002):...

Z}\phi (x,z).} The theorem has applications in optimization, where it sometimes is used to solve minimax problems. The original theorem given by J. M. Danskin...

pair with the minimax theorem. It performs notably faster than the maxn algorithm because of those optimizations. Maxn algorithm Minimax algorithm Sturtevant...

A minimax approximation algorithm (or L∞ approximation or uniform approximation) is a method to find an approximation of a mathematical function that...

In linear algebra and functional analysis, the min-max theorem, or variational theorem, or Courant–Fischer–Weyl min-max principle, is a result that gives...

of games on the unit square – Parthasarathy's theorem is a generalization of Von Neumann's minimax theorem. It states that a particular class of games has...

Borel could not have defined games of strategy because he rejected the minimax theorem. With the development of statistical hypothesis testing in the early...

exist, a maximal lottery always exists. This follows from applying the Minimax theorem to an appropriate symmetric two-player zero-sum game. It satisfies...

game Theorems Aumann's agreement theorem Folk theorem Minimax theorem Nash's theorem Negamax theorem One-shot deviation principle Purification theorem Revelation...