We clarify options for conceptualizing equity, or what we refer to as justice, in resource allocation. We do this by systematically differentiating, expounding, and then illustrating eight different substantive principles of justice. In doing this, we compare different meanings that can be attributed to “need” and “the capacity to benefit” (CTB). Our comparison is sharpened by two analytical tools. First, quantification helps to clarify the divergent consequences of allocations commended by competing principles. Second, a diagrammatic approach developed by economists Culyer and Wagstaff offers a visual and conceptual aid. Of the eight principles we illustrate, only two treat as relevant both a person’s initial health state and a person’s CT...