Social choice for bliss-point problems

This paper's concern is the axiomatic determination of social choice correspondences Ψ for a class of n-person problems that are characterized by some — generally — non-feasible bliss-point u(V)(?V∈τ . Meeting appropriate assumptions of ‘planner's rationality’ it is shown that Ψ is necessarily norm-induced, i.e. one can find some norm |·| in Rⁿ s.t. Ψ(V) = {u?V|6u-u(V)6=min{6v-u(V)6|v,V}}. The mathematical problem of recovering. from Ψ is one of integration which has its well-known parallel in the theory of revealed preference.