 According to Sen (1977), though, the Bergson-Samuelson social welfare function has more than a single profile in its domain. It has in fact a completely unrestricted domain, for while according to Samuelson only one profile is needed “it could be any one” (Samuelson 1967: 49). What distinguishes the single profile approach, on Sen’s way of understanding it, is that there is to be no coordinating the behavior of the social welfare function at several different profiles, by imposing on it interprofile conditions such as I and SN (see Section 4.5). Either way, though, and just as Samuelson insisted, Arrow’s theorem does not limit the single profile approach because one of its conditions is inappropriate in connection with it. Either U is inappropriate (if there is a single profile in the domain) or else I is inappropriate (if there are no interprofile constraints).