How do you construct utility without the VNM axioms? Are there less strong axioms for which a VNM-like result holds?
EDIT: Sorry if this is covered in the comments in the other article, I’m being a bit lazy here and not reading through all of your comments there in detail.
Okay. If you end up being successful, I would be quite interested to know about it. (A counterexample would also be interesting, actually probably more interesting since it is less expected.)
How do you construct utility without the VNM axioms? Are there less strong axioms for which a VNM-like result holds?
EDIT: Sorry if this is covered in the comments in the other article, I’m being a bit lazy here and not reading through all of your comments there in detail.
I don’t yet. :) I have a few reason to think that it has a good chance of being possible, but it has not been done.
Okay. If you end up being successful, I would be quite interested to know about it. (A counterexample would also be interesting, actually probably more interesting since it is less expected.)