So TDT is different from CDT only in cases where the game is perfectly symmetric? If you are playing a game that is roughly the symmetric PD, except that one guy's payoffs are shifted by a tiny +epsilon, then they should both defect?
TDT is different from CDT whenever one needs to consider the interaction of multiple decisions made using the same TDT-based decision procedure. This applies both to competitions between agents, as in the case of Chicken, and to cases where an agent needs to make credible precommitments, as in Newcomb's Problem.
In the case of an almost-symmetric PD, the TDT agents should still cooperate. To change that, you'd have to make the PD asymmetrical enough that the agents were no longer evaluating their options in the same way. If a change is small enough that a C...
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