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...

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...

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...

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...

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

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...

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...

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...

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...

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...

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...

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...

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

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...

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...

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

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...

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

according to μ {\displaystyle \mu } . Yao's minimax principle (a special case of von Neumann's minimax theorem) states that the randomized communication...

(VMO). In the setting of topological vector spaces, Ky Fan developed a minimax theorem with applications in game theory. With Haïm Brezis and Guido Stampacchia...

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. This is used...

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...