> I don't think that is consistent with preference being transitive
Its certainly consistent with preference being transitive (since it is intimately tied in with cardinal utility, which is a much stronger position which includes transitive preference.) Transitive preferences in a poset aren't sufficient to support money-as-general-utility-scorecard, however.
Brain fart on my part, I was thinking about a different comment.
I meant that it isn't consistent with people's observed preferences being transitive; if they are, then there is no need to make the inferences you suggest. But of course you were talking about things that can't be traded for money, not things that people refuse to because they value them more, so ignore my criticism.
Actually, that makes me realize that I need to change the edge criterion in my previous comment.
Its certainly consistent with preference being transitive (since it is intimately tied in with cardinal utility, which is a much stronger position which includes transitive preference.) Transitive preferences in a poset aren't sufficient to support money-as-general-utility-scorecard, however.