Question 15.49

image 17. Describe in detail one pure strategy for the player who moves first in the game of tic-tac-toe. This strategy must tell how to respond to all possible moves of the other player. (Hint: You may wish to make use of the symmetry in the grid in this game; that is, there are one “center” box, four “corner” boxes, and four “side” boxes.)

Is your strategy optimal in the sense that it will guarantee the first player a tie (and possibly a win) in the game?

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17.

(a) Answers will vary.

(b) An optimal strategy will guarantee a tie.