Bounded sequential dominance criteria

In the spirit of Fleurbaey et al. (2001), it is tempting to introduce more reasonable lower and upper bounds in Atkinson and Bourguigon’s (1987) sequential general-ized Lorenz dominance procedure. Unfortunately, our proposal leads, at best, to an average household income criterion, which is unsuited to make heterogeneous welfare comparisons. We therefore restrict attention to imposing either lower or upper bounds, resulting in two new sequential dominance criteria.