So you care more about following the VNM axioms, then which utility function you are maximizing? That behavior is itself not VNM rational.
If you don’t follow the VNM axioms you are not maximizing any utility function.
So why do you care about maximizing any utility function?
What would constitute a valid answer to that question, from your point of view?
I can’t think of one. You’re the one arguing for what appears to be an inconsistent position.
What is the inconsistency?
Saying one should maximize a utility function, but not caring which utility function is maximized.
Who said I don’t care which utility function is maximized?
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So you care more about following the VNM axioms, then which utility function you are maximizing? That behavior is itself not VNM rational.
If you don’t follow the VNM axioms you are not maximizing any utility function.
So why do you care about maximizing any utility function?
What would constitute a valid answer to that question, from your point of view?
I can’t think of one. You’re the one arguing for what appears to be an inconsistent position.
What is the inconsistency?
Saying one should maximize a utility function, but not caring which utility function is maximized.
Who said I don’t care which utility function is maximized?