Before revision:  When \pi_0 is uniform random, OBL learns the optimal grounded policy . OBL can be iterated in a hierarchy, where the optimal policy from one level becomes the input to the next .
After revision:  When \pi_0 is uniform random, OBL converges to an optimal policy that does not rely on inferences based on other agents' behavior (an optimal grounded policy) . OBL can be iterated in a hierarchy, where the optimal policy from one level becomes the input to the next .