O'Reilly logo

Behavioral Mathematics for Game AI by Dave Mark

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Defining Thresholds

Of course, as with many of the concepts that we discuss in the book, trying to mathematically describe “enough” is a bit more art than science. In the St. Petersburg paradox, the graphs we used were indistinct in that our scale of value ran from zero to n, infinity, or generally “somewhere over there someplace.” The utility axis was even more hazy in that it really only expressed “more” or “less” utility. In a sense, that was by necessity since the entire dilemma dealt with “personal preference in the space of possible infinity.” If that isn’t vague, I don’t know what is.

In the examples we have shown so far, some of the thresholds we have set have been concrete. In the case of declining health, reaching zero health is a ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required