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wedrifid comments on Decision Theories: A Semi-Formal Analysis, Part III - Less Wrong
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I usually understand "mind-reading" to encompass being aware of the current state of a system. Two systems that simply know one another's strategies can't predict one another's behaviors if their strategies include random coin flips, for example, or depend on information that one system can observe but the other cannot; whereas I would expect telepathic agents to be aware of the results of such observations as well.
If you did have two telepaths playing any game, and one of them decided a mixed strategy was optimal, they wouldn't want to know what action they were playing until it was played- because otherwise they might leak that knowledge to the other player. That is, in a competitive situation I don't think mind-reading would extend to coin-reading, but if your understanding is common then 'mind-reading' is a bad phrase to use. Is there a good word for "has access to its opponent's source code"? Bonus points if it starts with a T.
(Also, my understanding is that TDT will defect against any mixed strategy in the prisoner's dilemma.)
Not necessarily. It will play a mixed strategy against an identical mixed strategy if that if what it needs to do to get them to play mixed rather than D. It's the other guy being weird and arbitrary in that case, not the TDT.