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...

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

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

1016/0095-8956(76)90049-6, MR 0427138 Lucchesi, C. L.; Younger, D. H. (1978), "A minimax theorem for directed graphs", Journal of the London Mathematical Society, Second...

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...

through 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...

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...

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...

space) Min-max theorem (functional analysis) Minimax theorem (game theory) Minkowski's theorem (geometry of numbers) Minkowski's second theorem (geometry of...

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

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

important minimax theorems in combinatorics, including Dilworth's theorem and Mirsky's theorem on partially ordered sets, Kőnig's theorem on matchings...

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...

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

Interdisciplinary Information Sciences (IIIS) at Tsinghua University. Yao used the minimax theorem to prove what is now known as Yao's Principle. After graduating from...

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...

but for the condition to be necessary, one must apply von Neumann's minimax theorem to show the equations derived by Cauchy are not violated. Dual linear...

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...

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 fact—that all closed games are determined—is called the Gale–Stewart theorem. Note that by symmetry, all open games are determined as well. (A game...

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 )...

successful landing and must be careful not to block themself. Hales–Jewett theorem m,n,k-game Number Scrabble Garcia, Dan. "GamesCrafters: Tic-Tac-Toe". gamescrafters...

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

The median voter theorem in political science and social choice theory, developed by Duncan Black, states that if voters and candidates are distributed...

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...

Rendezvous problem Theorems Aumann's agreement theorem Folk theorem Minimax theorem Nash's theorem Negamax theorem Purification theorem Revelation principle...

Rendezvous problem Theorems Aumann's agreement theorem Folk theorem Minimax theorem Nash's theorem Negamax theorem Purification theorem Revelation principle...