  Both properties are attractive. Lexicographic orderings notwithstanding, there are not convincing arguments against continuity. Of course Rawls (1972) placed priority rules and the lexicographic orderings on the objects of interest in his conception of justice that come with them at the centre of his theory, but that has proved to have been one of his most contentious moves. The richness and depth of his analysis would not be lessened if small tradeoffs were admitted between the objects of justice. And it’s hard to find reasons against monotonicity. Even Rawls, whose work was so pointed toward distributive justice, insisted on monotonicity.