Before revision:  However, the sequential nature of the problem permits learning about the effectiveness of the treatments , which we measure by a functional of the associated outcome distributions, for example an inequality, welfare or poverty measure .
After revision:  However, the sequential nature of the problem permits learning about the effectiveness of the treatments . While the multi-armed-bandit literature has shed much light on the situation when the policy maker compares the effectiveness of the treatments through their mean, economic decision making often requires targeting purpose specific characteristics of the outcome distribution, such as its inherent degree of inequality, welfare or poverty measure .