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James_Miller comments on Open thread for December 9 - 16, 2013 - Less Wrong Discussion
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Game theory would be solved if there were a set of reasonable criteria which, if applied to every possible game of rational players, would cause you to know what the players would do.
To continue with physics: physics would be solved if there were a set of reasonable criteria which, if applied to every possible interaction of particles, would cause you to know what the particles would do.
Consider a situation in which using physics you could prove that (1) X won't happen, and (2) X will happen. If this situation existed physics wouldn't be capable of being solved, but my understanding of science is that such a situation is unlikely to exist. Alas, this kind of situation does come up in game theory.
Well, it's math but...