Dominance Criteria for Critical-Level Generalized Utilitarianism

Social welfare dominance criteria based on critical-level generalized utilitarian social welfare functions are investigated. An analogue of a generalized Lorenz curve called a generalized concentration curve is introduced. For a fixed critical utility level c, a partial order of utility distributions based on these curves is defined and shown to coincide with the partial order obtained by declaring one utility distribution to be weakly preferred to a second if and only if the former is weakly preferred to the latter for all inequality averse critical-level c generalized utilitarian social welfare functions. An extension of this result that allows for a range of critical levels is also established.