The utility function can be used to derive the demand function, and both concepts relate to utility maximization.

Georges Dionne, Moral Hazard and State-Dependent Utility Function, The Journal of Risk and Insurance, Vol. 49, No. 3 (Sep., 1982), pp. 405-422 ...

Utility is the fundamental variable thought to underlie economic choices. In particular, utility functions are believed to reflect preferences toward risk, a key decision variable in many real-life ...

Understanding Hyperbolic Absolute Risk Aversion ARA is a means of measuring risk avoidance via a convenient mathematical equation. If all investors are assumed to have similar utility functions ...