Acausal trade is speculated to be possible across a multiverse, but why would any rational individuals want to do this if the multiverse is deterministic? The reality measure occupied by all of the branches of the multiverse are pre-determined and causally independent from each other, so no matter what you "do" in your own branch, you cannot affect the reality measure of other branches. This means that even if your utility function cares about what happens in other branches, nothing you do can affect their fixed reality measure, even "acausally". This is just a consequence of making counterfactual scenarios "real".
For example, if two agents come to an acausal cooperation equilibrium, this does not reduce the pre-determined reality measure of counterfactual worlds where they didn't. For example, if your utility function is proportional to the number of paperclips that exist over the multiverse, then your ultimate utility (total number of paperclips) would be the same no matter what you "do". The only thing that can vary is how many paperclips you can experience, within your own branch of the universe. Therefore, it would only be meaningful for a utility function to be focused on your own branch of the multiverse, since that's the only way for you to talk meaningfully about an expected utility that varies with different actions. As a result, the MWI should make absolutely no difference whatsoever for a decision theory compared to a "single-universe" interpretation such as Copenhagen.
Please let me know if my reasoning is correct, and if not, why?
There are certainly hypothetical scenarios in which acausal trade is rationally justified: cases in which the rational actors can know whether or not the other actors perform or don't perform some acausally-determined actions depending upon the outcomes of their decision theories, even if they can't observe it. Any case simple enough to discuss is obviously ridiculously contrived, but the mode of reasoning is not ruled out in principle.
My expectation is that such a mode of reasoning is overwhelmingly ruled out by practical constraints.