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 ...

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 ...

The paper studies the problem of maximizing the expected utility of terminal wealth in the framework of a general incomplete semimartingale model of a financial market. We show that the necessary and ...