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Q30Section DA (Data Science and Artificial Intelligence (Q11–Q65))30 of 65

Optimal move for MAX in a two-ply minimax game tree

Consider the game tree for a two-player turn-taking minimax game as shown in the figure. The value of a terminal node represents the utility of the game state if the game ends there. The numbers written next to the edges denote the strategies. There are two players MAX and MIN. At any particular state of the game, MAX prefers to move to a state of maximum value. On the other hand, MIN prefers to move to a state of minimum value. Suppose MAX starts the game at the root and has three strategies: 1, 2 and 3. Next, MIN plays and also has three strategies: 1, 2 and 3. The game ends there. Both players always take optimal strategies throughout the game. At the root, the best strategy for MAX is ___________ . (Answer in integer)

Figure for Q30

Numerical answer: type the number (no options).

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