Utilitarianism is the most prominent family of social welfare functions. We present three new axiomatic characterizations of utilitarian (that is, additively separable) social welfare functions in a setting where there is risk over both population size and the welfares of individuals. First, we...

The population literature in theoretical economics has long focused on attempts to avoid the repugnant conclusion. We advance the literature by proving that no social ordering in population economics can escape the repugnant conclusion in all instances. As we show, prior results depend on a...

The expectation of a sum of utilities is a core criterion for evaluating policies and social welfare under variable population and social risk. Our contribution is to show that a previously unrecognized combination of weak assumptions yields general versions of this criterion, both in...