  Sufficiency, priority, and desert are rivals of narrow egalitarianism. Advocates of each of these views have argued that the rival often supports equalization, and so one might mistakenly support equalization on the ground that equality of some sort is non-instrumentally valuable. But once one examines a broader sample of examples, and reviews situations in which the rival and narrow egalitarianism yield opposed recommendations as to what should be done, one should conclude that the rival, and not any version of narrow egalitarianism, should be affirmed as non-instrumentally valuable and incorporated into the set of fundamental moral principles. Or so the advocates of the rivals will say.