Egalitarianism, Empowerment, Sympathy, Justice

Given A > B, three ways of equalizing them are 1. Increase B until it reaches A; 2. Decrease A until it reaches B; and 3. Increase B and decrease A until they each reach the average between them.  Examples of them in a social context are, respectively, 1. Empowerment; 2. Sympathy; and 3. Distributive Justice.  In Nietzsche's oeuvre, #1 is occasionally advocated, #2 is a prominent target of criticism, while he sometimes seems to not distinguish between #2 and #3.  In contemporary American politics, assistance to the needy is debated as either #2 or #3, while #1 is rarely considered.  More generally, these equivocations tend to go unrecognized in treatments of Egalitarianism.