No, we don’t agree. I think that Adam did better than other potential donor lottery winners, and so his counterfactual value is higher, and thus his Shapley value is also higher. If all the other donors had been clones of Adam, I agree that you’d just divide by n. Thus, the “In every example here, this will be equivalent to calculating counterfactual value, and dividing by the number of necessary stakeholders” is in fact wrong, and I was implicitly doing both of the following in one step: a. Calculating Shapley values with “evaluators” as one agent and b. thinking of Adam’s impact as a high proportion of the SV of the evaluator round,
The rest of our disagreements hinge on 2., and I agree that judging the evaluator step alone would make more sense.
Yes, we agree
No, we don’t agree. I think that Adam did better than other potential donor lottery winners, and so his counterfactual value is higher, and thus his Shapley value is also higher. If all the other donors had been clones of Adam, I agree that you’d just divide by n. Thus, the “In every example here, this will be equivalent to calculating counterfactual value, and dividing by the number of necessary stakeholders” is in fact wrong, and I was implicitly doing both of the following in one step: a. Calculating Shapley values with “evaluators” as one agent and b. thinking of Adam’s impact as a high proportion of the SV of the evaluator round,
The rest of our disagreements hinge on 2., and I agree that judging the evaluator step alone would make more sense.