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Behavioral Mathematics for Game AI by Dave Mark

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Perfect Rationality

Because irrationality is so difficult to define, it is actually easier to start this foray by starting from the summit of the mountain of rationality and working down. Agents are said to have perfect rationality if they always act in the best possible manner, even if they have to perform extensive and difficult calculations to do so.

If, for the sake of example, we were to reduce this to a simpler game space, we could use the game of Tic-Tac-Toe. As we noted in Chapter 1, the choices available at any point in the game can be narrowed down to a decision between whether or not we want to win. If we do want to win, there is an ...

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