The claim that mutual confession is the uniquely rational solution smuggles in a one-shot assumption that is empirically and theoretically unwarranted as a general account of rationality.

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Empirically unwarranted(as used in epistemology and philosophy of science): Not supported or justified by actual evidence and real-world observation; something you can't reliably claim based on data alone.
general account of rationality(as used in epistemology and philosophy of mind): A broad theory explaining what it means for a person to act reasonably or logically in all kinds of situations.
mutual confession(as used in game theory and decision-making): When two people or groups each admit to something or reveal information about themselves to each other, usually in a situation where both are being honest at the same time.
one-shot assumption(as used in game theory): The assumption that people are making a choice only once, without any chance to interact with the same person or situation again in the future.

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