You say you are rejecting Von Neumann utility theory. Which axiom are you rejecting?
https://en.wikipedia.org/wiki/Von_Neumann–Morgenstern_utility_theorem#The_axioms
The last time this came up, the answer was:
That for any bet with an infinitesimally small value of p, there is a value of u high enough that I would take it.
This is, as pointed out there, not one of the axioms.
The axiom of independence. I did mention this in the post.
You say you are rejecting Von Neumann utility theory. Which axiom are you rejecting?
https://en.wikipedia.org/wiki/Von_Neumann–Morgenstern_utility_theorem#The_axioms
The last time this came up, the answer was:
This is, as pointed out there, not one of the axioms.
The axiom of independence. I did mention this in the post.