 Just as with MEU, however, \(\alpha\)-MEU restricts its attention to extremal expected utilities (in this instance best- as well as worst-case). A popular class of proposals allows for the full range of expected utilities across \(\Gamma\) to be factored in, by supplementing the multiple prior model with a higher order probability distribution \(\mu\). One well-known functional form, that notably features in the “Smooth Model” of Klibanoff et al. (2005), involves taking the expectation, relative to \(\mu\), of the weighted expected utilities, relative to the members of \(\Gamma\): 