The main strength of the paper as seen by the reviewers is a) the theoretical development of core sets and b) the elaboration of empirical work (also in the response). The "modularity" of the approach is also attractive as is the potential for scalable solutions. The weakness of the paper is its lack of generality (it can only address one kind of fairness definition). OVerall it's a reasonable work -- it could do with more work on presentation and visualization but the reviewers deemed it satisfactory for acceptance.