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Behavioral Mathematics for Game AI by Dave Mark

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9. Relative Utility

There is still one problem that we have yet to solve with regard to utility and marginal utility. While we can now express differences in importance between one item and another item of the same type, the numbers that we have been using so far have often been abstract. What does a utility of 100 on my first can of pop mean? We know that it is twice the utility of my sixth can of pop (50), but what does it mean when compared to my utility for salsa, for instance?

As we examined the potential uses for multiple thresholds when building our armies in Chapter 8, one of the reasons we cited for pausing the building of soldiers was so we could potentially build other things that were more important at the time. How do we know if ...

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