Minmaxväärtused

Minmaxväärtused, also known as minimax values, are a fundamental concept in game theory and artificial intelligence, particularly in the context of zero-sum games. They represent the optimal strategy for a player assuming their opponent also plays optimally. The term "minimax" itself describes the principle of minimizing the maximum possible loss.

In a two-player zero-sum game, where one player's gain is directly equivalent to the other player's loss, one player aims to maximize their score (the "max" player) while the other aims to minimize it (the "min" player). The minimax algorithm is used to determine the best move for the max player by exploring all possible future moves and their consequences. It assumes that the min player will always choose the move that is worst for the max player, and the max player, in turn, chooses the move that yields the best outcome under this worst-case scenario.

The minimaxväärtused are the values associated with the best possible outcome for the max player at each stage of the game, considering the optimal play of the min player. This recursive evaluation allows the algorithm to look ahead and make decisions that guarantee the best possible result, even against a perfect opponent. This concept is crucial for developing AI agents capable of playing complex games like chess or Go.