This kind of answer seems like on the right track, but I do not know of a good decision theory when you are not 100% “important”. I have an intuitive sense of what this means, but I don’t have a technical understanding of what it means to be merely part of a decision and not the full decision maker.
Have an upvote for noticing your own confusion. I posted the problem because I really want a technical understanding of the issues involved. Many commenters are offering intuitions that look hard to formalize and generalize.
This kind of answer seems like on the right track, but I do not know of a good decision theory when you are not 100% “important”. I have an intuitive sense of what this means, but I don’t have a technical understanding of what it means to be merely part of a decision and not the full decision maker.
Can the Shapely value and its generalizations help us here? They deal with “how important was this part of the coalition to the final result?”.
Have an upvote for noticing your own confusion. I posted the problem because I really want a technical understanding of the issues involved. Many commenters are offering intuitions that look hard to formalize and generalize.