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?
True acausal trade can only really work in toy problems, since the number of possible utility functions for agents across possible worlds almost certainly grows much faster with agent complexity than the agents' abilities to reason about all those possible worlds. Whether the multiverse is deterministic or not isn't really relevant.
Even in the toy problem case, I think of it as more similar to the concept of execution of a will than to a concept of trade. We carry out the allocation of resources of an agent that would have valued those allocations, despite them no longer existing in our causal universe.
There are some elements relevant to acausal trade in this real-world phenomenon. The decedent can't know or meaningfully affect what the executors actually do, except via a decision structure that applies to both but is external to both (the law in this example, some decision theory in more general acausal trade). The executors now can't affect what the decedent did in the past, or change the decedent's actual utility in any way. The will mainly serves the role of a partial utility function which in this example is communicated, but in pure acausal trade many such functions must be inferred.