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Behavioral Mathematics for Game AI by Dave Mark

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Converting Distributions to Response Curves

In the previous examples, we were matching up a single x with a single y. That is, any given input generated an output. However, if we think back to the original (and delightfully simple) dentist example, we encounter a different requirement.

We can think of the “ball into bucket” metaphor as having two different types of input. First, we think of the ball in terms of dropping into one of five different segments of the range. In a way, we have recast this as being five buckets rather than two. In this case, buckets 1 through 4 mean that the dentist recommends sugarless gum and bucket 5 indicates that he doesn’t.

If we were to create our dentist example using the 1-to-1 methods outlined above, we would ...

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