Before revision:  Initially, it is unknown which treatment is best . 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:  Initially, it is unknown which treatment is best , but 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 .