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Vladimir_Nesov comments on The ideas you're not ready to post - Less Wrong
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More generally, semantics of the posteriors, and of probability in general, comes from the semantics of the rest of the model, of prior/state space/variables/etc. It's incorrect to attribute any kind of inherent semantics to a model, which as you note happens quite often, when frequentist semantics suddenly "emerges" in probabilistic models. It is a kind of mind projection fallacy, where the role of the territory is played by math of the mind.
To return to something we discussed in the IRC meetup: there's a simple argument why commonly-known rationalists with common priors cannot offer each other deals in a zero-sum game. The strategy "offer the deal iff you have evidence of at least strength X saying the deal benefits you" is defeated by all strategies of the form "accept the deal iff you have evidence of at least strength Y > X saying the deal benefits you", so never offering and never accepting if offered should be the only equilibrium.
This is completely off-topic unless anyone thinks it would make an interesting top-level post.
ETA: oops, sorry, this of course assumes independent evidence; I think it can probably be fixed?