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  2. Alpha–beta pruning - Wikipedia

    en.wikipedia.org/wiki/Alphabeta_pruning

    Alphabeta pruning is a search 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 commonly for machine playing of two-player combinatorial games ( Tic-tac-toe , Chess , Connect 4 , etc.).

  3. MTD(f) - Wikipedia

    en.wikipedia.org/wiki/MTD(f)

    MTD(f) is an alpha-beta game tree search algorithm modified to use ‘zero-window’ initial search bounds, and memory (usually a transposition table) to reuse intermediate search results. MTD(f) is a shortened form of MTD(n,f) which stands for Memory-enhanced Test Driver with node ‘n’ and value ‘f’. [ 1 ]

  4. Principal variation search - Wikipedia

    en.wikipedia.org/wiki/Principal_variation_search

    Like alphabeta pruning, NegaScout is a directional search algorithm for computing the minimax value of a node in a tree. It dominates alphabeta pruning in the sense that it will never examine a node that can be pruned by alphabeta; however, it relies on accurate node ordering to capitalize on this advantage. NegaScout works best when ...

  5. Expectiminimax - Wikipedia

    en.wikipedia.org/wiki/Expectiminimax

    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.

  6. Negamax - Wikipedia

    en.wikipedia.org/wiki/Negamax

    In contrast, fail-hard alphabeta pruning always limits a node value in the range of α and β. This implementation also shows optional move ordering prior to the foreach loop that evaluates child nodes. Move ordering [2] is an optimization for alpha beta pruning that attempts to guess the most probable child nodes that yield the node's score ...

  7. Monte Carlo tree search - Wikipedia

    en.wikipedia.org/wiki/Monte_Carlo_tree_search

    However, Monte Carlo tree search does offer significant advantages over alphabeta pruning and similar algorithms that minimize the search space. In particular, pure Monte Carlo tree search does not need an explicit evaluation function. Simply implementing the game's mechanics is sufficient to explore the search space (i.e. the generating of ...