I am wondering if there are literature which studies specific properties of the set of utilitarian weights?
To be more specific, when we have some axioms that characterize the preference of a social planner (and gives a utility representation), we can usually say the set of utilitarian weights is convex and closed. But are there previous papers studying more properties about the set?
I am grateful if some one can point me out some related paper regarding properties of set of utilitarian weights.