In that post, shares aren’t expected to have continuous-valued payoffs, but merely continuous-valued prices representing binary payoffs with some chance of happening. So that’s a relevant difference that means the interpretation of G∨H is not quite the same (in particular, it doesn’t involve a max function, since there are no continuous values to take a max of), though there’s still a sense in which it’s as good as having your choice between G and H.
I wrote a post in 2023 about somewhat similar ideas: https://www.lesswrong.com/posts/uDXRxF9tGqGX5bGT4/logical-share-splitting The market mechanism there is based on the formula
P(A)+P(B)=P(A∧B)+P(A∨B)from probability theory.In that post, shares aren’t expected to have continuous-valued payoffs, but merely continuous-valued prices representing binary payoffs with some chance of happening. So that’s a relevant difference that means the interpretation of G∨H is not quite the same (in particular, it doesn’t involve a max function, since there are no continuous values to take a max of), though there’s still a sense in which it’s as good as having your choice between G and H.