Before revision:  These key properties are:(1) the algorithms produce ``simple'' exponential families of black-box strategies, and(2) there exist\emph{efficient ways to extend their output to the black-box case, which also preserve the approximation ratio exactly. We note that prior generalization approaches, i.e., variants of the\emph{Sample Average Approximation method , can be used for the problems we consider, however they would yield worse approximation guarantees .
After revision:  These key properties are:(1) the algorithms produce ``simple'' exponential families of black-box strategies, and(2) there exist\emph{efficient ways to extend their output to the black-box \emph{Sample Average Approximation method , can be used for the problems we consider, however they would yield worse approximation guarantees .