Douglas_Knight comments on Open Thread, October 16-31, 2012 - Less Wrong
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this clip
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.