We introduce a generalization of the concept of sufficientarianism, intended
(but not limited) to study multiple consumption goods. We discuss three
properties that uniquely pin down our family and, up to continuity
requirements, endogenize the sufficientarian threshold. Two, anonymity and
reinforcement, are standard. The third, sufficientarian monotonicity,
generalizes classical monotonicity and requires that for any two lists of
bundles in which individuals are ordered similarly by how much they receive,
the worse of the two is indifferent to the new list of bundles considered by
taking the componentwise minimum of the two bundles for each agent