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

The Utility of Marginal Utility

As we have seen, marginal utility can assist us in expressing some of the subtlety in how an agent could perceive the world. Just as utility allows us to give an object or an action a level of importance that was different than its value, marginal utility allows us to vary that level of importance as the number of objects or actions increases or decreases.

Also, as we saw with Bernoulli’s St. Petersburg paradox, marginal utility can assist us in analyzing the differences between two utilities such as risk and reward. By thinking in terms of the differences in utility rather than differences in value, we can solve problems that would otherwise yield irrational results such as betting an infinite amount of money. ...

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