In this appendix to ?Robust Mechanism Design? we provide a set of sufficient conditions which encompass the quasilinear environment. With these conditions, we can generalize the equivalence results presented in Proposition 4 for common prior full support payoff type spaces. The first condition replaces the compactness condition, the second and third conditions generalize the important features of the quasilinear utility model. The appendix ends with an example which is meant to illustrate that the conditions, in particular, the condition on bounded allocation differences, is not easily dispensed with.