It’s worth distinguishing between epistemic and instrumental forms of heroic responsibility. Shapley values are the mathematically precise way of apportioning credit or blame for an outcome among a group of people. Heroic responsibility as a belief about one’s own share of credit or blame is a dark art of rationality, since it involves explicitly deviating from the Shapley value assignment in one’s beliefs about credit or blame. But taking heroic responsibility as an action, while acknowledging that you’re not trying to be mathematically precise in your credit assignment, can still be useful as a way of solving coordination problems.
It’s worth distinguishing between epistemic and instrumental forms of heroic responsibility. Shapley values are the mathematically precise way of apportioning credit or blame for an outcome among a group of people. Heroic responsibility as a belief about one’s own share of credit or blame is a dark art of rationality, since it involves explicitly deviating from the Shapley value assignment in one’s beliefs about credit or blame. But taking heroic responsibility as an action, while acknowledging that you’re not trying to be mathematically precise in your credit assignment, can still be useful as a way of solving coordination problems.