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Behavioral Mathematics for Game AI by Dave Mark

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11. Probability Distributions

As we discovered in earlier chapters, there are many reasons for the gulf between the one “should be done” solution that normative decision theory provides and the myriad possibilities that are summarized by descriptive decision theory—that is, what people as a whole tend to do. The suggestions and guides that descriptive decision theory provides often are based on observation and collection of information. This data is necessarily an aggregate. As such, we have a picture of the population as a whole rather than any individual member of that population.

The end result is that, while we know that people do different things, we don’t know why they do them. While we can ascertain to some degree some of the possible ...

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