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, combinatorial game theory, statistics...

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

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...

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...

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...

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

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

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...

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

Neumann’s minimax theorem von Neumann–Morgenstern utility theorem von Neumann-Morgenstern solution von Neumann's inequality von Neumann's theorem von Neumann's...

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 )...

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...

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

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...

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...

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...

this matrix on both sides by vectors representing the strategies. The minimax theorem central to game theory is closely related to the duality theory of...

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

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...

In statistical decision theory, a minimax estimator δ M {\displaystyle \delta ^{M}\,\!} is an estimator which performs best in the worst possible case...

credible. Centipede game Dynamic inconsistency Glossary of game theory Minimax theorem Retrograde analysis Solution concept Bellman's principle of optimality...

Applications aux Jeux de Hasard and earlier notes, Émile Borel proved a minimax theorem for two-person zero-sum matrix games only when the pay-off matrix is...

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 ranked-choice procedure for group decision-making can satisfy the...

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

algorithm that seeks to decrease the number of nodes that are evaluated by the minimax algorithm in its search tree. It is an adversarial search algorithm used...

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

eigenvector to the corresponding eigenvalue λ. The Courant minimax principle is a result of the maximum theorem, which says that for q ( x ) = ⟨ A x , x ⟩ {\displaystyle...

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