Questions tagged [minimax]

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2answers
77 views

What mathematical guarantees gives alpha-beta pruning?

In the alpha-beta pruning version of the minimax algorithm, when one evaluates a state p with $\alpha$ and $\beta$ cutoff and gets a ...
1
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1answer
41 views

Find optimal play by optimizing orders of each player alternatingly

A zero-sum game for two players allows a player to take no action during a turn. Can I reach optimal play (where both players always choose the best possible action in each turn) by the following ...
1
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0answers
25 views

Equally optimal nodes during minimax with alpha-beta pruning

Alpha-beta pruning is an optimization for minimax that reduces the number of nodes visited without changing the final result. However, both minimax and alpha-beta only return the optimal node value (...
1
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1answer
32 views

MCTS how to prevent Selecting a TERMINAL state in TRAVERSAL Phase?

Hello I am currently working on an implementation of MCTS and I ran into the problem that my tree traversal policy selects nodes with terminal game states. Furthermore how do I prevent selecting a ...
1
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0answers
70 views

Understanding deep cutoff in Alpha–beta pruning algorithm

I am studying the Alpha Beta pruning algorithm here. ...
0
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2answers
35 views

How to tell if a minimax search tree is computationally feasible using parallel computing

I am trying to apply the minimax algorithm to a game of Pokemon. This is a problem where the search tree is usually around 20 levels deep (number of turns) and each level has 9 or less branches (...
0
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1answer
22 views

Computing the minimum distance between each pain of points

I am trying to read an algorithm for computing minimum distance between each pair of points from the book: Algorithm Design Algorithm Design It considers the points in a line. If the points are in ...
6
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3answers
276 views

Why does Min-Max algorithm delays a good move indefinitely?

Consider a simple chess example: Q is white Queen. K, R is black King and black Rook respectively. A B 1 . Q 2 . . 3 K . 4 . . 5 . . 6 R . 7 . . 8 . R 1,2......
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0answers
57 views

How do evaluation functions influence the optimal sequence of moves?

Assume you have a game tree and the features $(f_1, f_2, f_3,\ldots,f_n )$ that describe the state of the game at any node. Also assume that you are using depth-limited minimax and always expand up to ...