Dominance Criteria for Critical-Level Generalized Utilitarianism
Working Paper No. 07-W07
Alain Trannoy and John A. Weymark
ABSTRACT [article]
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.
Keywords and Phrases: Critical-level utilitarianism, generalized Lorenz dominance, social welfare dominance
JEL Classification Numbers: D31, D63, D13