Yes, now I see what is wrong with scenario 1. Both Alice and Bobs contribution of 1000 are necessary conditions but neither of them is alone sufficient to elicit utility of 15. Hence neither of their contribution of 1000 alone elicits contribution of 15. Those are only in conjunction sufficient. Counterfactuals are still conditionals and you have to get the logic right.
The counterfactual value of Alice is typically calculated as the value if Alice didn’t exist or didn’t participate. If both Alice and Bob are necessary for a project, the counterfactual value of each is the total value of the project.
I agree that you can calculate conditionals in other ways (like with Shapley values), and that in that case you get more meaningful answers.
Yes, now I see what is wrong with scenario 1. Both Alice and Bobs contribution of 1000 are necessary conditions but neither of them is alone sufficient to elicit utility of 15. Hence neither of their contribution of 1000 alone elicits contribution of 15. Those are only in conjunction sufficient. Counterfactuals are still conditionals and you have to get the logic right.
The counterfactual value of Alice is typically calculated as the value if Alice didn’t exist or didn’t participate. If both Alice and Bob are necessary for a project, the counterfactual value of each is the total value of the project.
I agree that you can calculate conditionals in other ways (like with Shapley values), and that in that case you get more meaningful answers.