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...
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Minimax (sometimes Minmax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, combinatorial game theory, statistics...
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Quantum game theory (section Quantum minimax theorems)
framework of the spectral theorem for self-adjoint operators on Hilbert spaces. Quantum versions of Von Neumann's minimax theorem were proved. Quantum game...
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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...
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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...
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Yao's principle (redirect from Yao's minimax principle)
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...
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Nash equilibrium (redirect from Nash theorem (in game theory))
Manipulated Nash equilibrium Mexican standoff – Type of confrontation Minimax theorem – Gives conditions that guarantee the max–min inequality holds with...
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fixed-point theorem (fixed points) Envelope theorem (calculus of variations) Isoperimetric theorem (curves, calculus of variations) Minimax theorem (game theory)...
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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...
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The Courant minimax principle, a characterization of the eigenvalues of a real symmetric matrix Minimax theorem, one of a number of theorems relating to...
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Neumann’s minimax theorem von Neumann–Morgenstern utility theorem von Neumann-Morgenstern solution von Neumann's inequality von Neumann's theorem von Neumann's...
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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 )...
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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...
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doi:10.1016/0012-365X(72)90006-4, MR 0302480. Lovász, László (1974), "Minimax theorems for hypergraphs", Hypergraph Seminar (Proc. First Working Sem., Ohio...
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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...
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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...
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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...
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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...
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In game theory, folk theorems are a class of theorems describing an abundance of Nash equilibrium payoff profiles in repeated games (Friedman 1971). The...
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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...
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In statistical decision theory, a minimax estimator δ M {\displaystyle \delta ^{M}\,\!} is an estimator which performs best in the worst possible case...
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credible. Centipede game Dynamic inconsistency Glossary of game theory Minimax theorem Retrograde analysis Solution concept Bellman's principle of optimality...
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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...
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Dual linear program (section The duality theorems)
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...
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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...
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A minimax approximation algorithm (or L∞ approximation or uniform approximation) is a method to find an approximation of a mathematical function that...
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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...
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Hyperbolic equilibrium point Hyperbolic geometry Minimax theorem Max–min inequality Mountain pass theorem Howard Anton, Irl Bivens, Stephen Davis (2002):...
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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...
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Borel could not have defined games of strategy because he rejected the minimax theorem. With the development of statistical hypothesis testing in the early...
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