Reviewer

We will make this clearer in the text. "why is...revelation game the right relaxation?" We agree many relaxations are possible. We will add this as a formal theorem to the paper. "It would be useful to have more explicit discussion of the interpretation of We will add this example into the text. "useful to see an example...[with] population of faulty agents... " The school choice example can actually be thought as The RMAC bounds show precisely this. We will expand the discussion to make this point explicitly. "gap... between NP-hard exact solution..and RFP" Our results guarantee that if RFP converges then it converges to a In some cases, this may not be the global optimum. For such small cases a gap (or lack of gap) is unlikely to be representative of real world problems. "What does an element of For example, if we consider the'what would happen if we " We apologize and will fix this and other raised missing formalism. We will make this clearer in the text. "not explained how this method differs practically from [1] and [2]" We cite [1] in the text already and By contrast, our goal is to relax these strong assumptions. We will make this clearer in the text. "...it would be nice to know what new techniques/methods may be more broadly interesting.