There are lots of examples in the movies of two geniuses facing off and one asserting that the other can simulate the first so well as to understand and counter a particular plan; that is, of A simulating B simulating A. This example has the advantage of showing the hypothetical, rather than asserting it.
This is an example of mainstream concept of exploring the game tree. It's worth promoting, but I prefer not to call it acausal interaction.
If it's worth saying, but not worth its own post, even in Discussion, it goes here.