We provide an axiomatization of expected equally-distributed equivalent-utility social welfare functions in the context of Harsanyiʼs impartial observer theorem. For this family of social welfare functions, we show what additional axiom is necessary and sufficient for the observer to exhibit...

We provide an axiomatization of an additively separable social welfare function in the context of Harsanyi’s impartial observer theorem. To do this, we reformulate Harsanyi’s setting to make the lotteries over the identities the observer may assume independent of the social alternative....

We axiomatize, in an Anscombe–Aumann framework, the class of preferences that admit a representation of the form V(f)=μ−ρ(d), where μ is the mean utility of the act f with respect to a given probability, d is the vector of state-by-state utility deviations from the mean, and ρ(d) is a...