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Behavioral Mathematics for Game AI by Dave Mark

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Multi-Attribute Utility Theory

Bentham’s hedonic calculus attempts to combine multiple scores in such a fashion so as to create a single score. For the goal for which hedonic calculus was intended, those categories were reasonably adequate. In fact, there could possibly be game situations where those categories would be appropriate. Of course, not all of Bentham’s categories would necessarily fit in a game environment decision. However, most game environments have a constellation of factors that can be taken into account to weigh the available choices that an agent might have. These factors are very decision-dependent. That is, no one set of criteria or factors works in all situations.

The important thing to learn from Bentham’s approach is ...

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