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Which algorithm is used in the Game tree to make decisions of Win/Lose?Heuristic Search AlgorithmMin/Max algorithmGreedy Search AlgorithmDFS/BFS algorithm

Question

Which algorithm is used in the Game tree to make decisions of Win/Lose?

  • Heuristic Search Algorithm
  • Min/Max algorithm
  • Greedy Search Algorithm
  • DFS/BFS algorithm
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Solution

The Min/Max algorithm is used in the Game tree to make decisions of Win/Lose. This algorithm is used in two-player games such as tic-tac-toe, backgammon, chess, etc. It is a recursive algorithm used for decision making in game theory and artificial intelligence.

Here's a step-by-step explanation of how it works:

  1. Generate the entire game tree starting from the current position of the game all the way up to the terminal states, which are the states where the game ends (someone wins or it's a draw).

  2. Apply the utility function to the terminal states to get their values. The utility function is designed to measure the "goodness" or "value" of game outcomes. For example, in chess, a commonly used utility function is +1 for a win, -1 for a loss, and 0 for a draw, all from the perspective of one player.

  3. Use these values to infer the values of the parent nodes (the states one step before the terminal states). If it's the turn of the player who is trying to maximize the utility, the value of the state will be the maximum value of the child states. If it's the turn of the minimizing player, the value of the state will be the minimum value of the child states.

  4. Repeat step 3 until you reach the root of the tree,

This problem has been solved

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