I am interested in the cases where a decision maker possesses a multiattribute utility function ($u$) of the form:
$u(x) = \sum\limits_{i=1}^{n} u_i(x)$, with $x=(x_1, \ldots, x_m)$, and where $u_{i \in [1, n]}$ is a multiattribute nonlinear utility function.
In particular, what is their relevance in microeconomics, utility theory, and decision-making in general? Are there any examples or references?
Thanks.