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Bruce Ballard was the first to develop a technique, called *-minimax, that enables alpha-beta pruning in expectiminimax trees. [3] [4] The problem with integrating alpha-beta pruning into the expectiminimax algorithm is that the scores of a chance node's children may exceed the alpha or beta bound of its parent, even if the weighted value of each child does not.
A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory or computer assistance.
Sion's minimax theorem is a generalization of von Neumann's minimax theorem due to Maurice Sion, [6] relaxing the requirement that It states: [6] [7] Let X {\displaystyle X} be a convex subset of a linear topological space and let Y {\displaystyle Y} be a compact convex subset of a linear topological space .
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Negamax scores match minimax scores for nodes where player A is about to play, and where player A is the maximizing player in the minimax equivalent. Negamax always searches for the maximum value for all its nodes. Hence for player B nodes, the minimax score is a negation of its negamax score.
Before the launch of MiniMini, Minimax (now known as Teletoon+) launched a programming block for preschoolers, known as MiniKaruzela, on 24 December 2000. MiniMini was launched on 20 December 2003 as a preschool channel by Cyfra+. However, MiniKaruzela continued to be broadcast on Minimax until 10 April 2004, when some programmes were moved to ...
F. Perron and E. Marchand (2002), "On the minimax estimator of a bounded normal mean," Statistics and Probability Letters 58: 327–333. R. Fandom Noubiap and W. Seidel (2001), "An Algorithm for Calculating Gamma-Minimax Decision Rules under Generalized Moment Conditions," Annals of Statistics, August, 2001, vol. 29, no. 4, pp. 1094–1116
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 a variational characterization of eigenvalues of compact Hermitian operators on Hilbert spaces.