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Viliam comments on The Number Choosing Game: Against the existence of perfect theoretical rationality - Less Wrong
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Then we can ask whether there are any other situations where perfect theoretical rationality is not possible. Because we are already aware that it depends on the rules of the game (instead of assuming automatically that it is always possible).
Exploring the boundary between the games where perfect theoretical rationality is possible, and the games where perfect theoretical rationality is impossible, could lead to some interesting theoretical results. Maybe.