Before revision:  These results generalize , under mild additional assumptions, from a single Agent to a distribution of Agents with finite support . The Designer's optimization problem has abysmal "price of robustness", suggesting that learning the parameters of the problem is crucial for the Designer .
After revision:  These results generalize , under mild additional assumptions, from a single Agent to a distribution of Agents with finite support , as well as to the setting where the Designer must find the best response to the existing strategies of other Designers. We discuss other implications of our results and directions of future research .