I want to be able to describe agents that do not have (vNM, geometric, other) rational preferences because of incompleteness or inconsistency but self-modify to become so.
Eg. In vNM utility theory there is a fairly natural weakening one can do which is ask for a vNM-style representation theorem after dropping transitivity.
[ Incidentally, there is some interesting math here having to do with conservative vs nonconservative vector fields and potentials theory all the way to hodge theory. ]
does JB support this ?
Im confused since in vNM we start with a preference order over probability distributions. But in JB irs over propositions?
I want to be able to describe agents that do not have (vNM, geometric, other) rational preferences because of incompleteness or inconsistency but self-modify to become so.
Eg. In vNM utility theory there is a fairly natural weakening one can do which is ask for a vNM-style representation theorem after dropping transitivity.
[ Incidentally, there is some interesting math here having to do with conservative vs nonconservative vector fields and potentials theory all the way to hodge theory. ]
does JB support this ?
Im confused since in vNM we start with a preference order over probability distributions. But in JB irs over propositions?