The proof of this, believe it or not, is an *immediate* corollary of the Abel-Ruffini theorem, from 1824 (and more elegantly by Galois).
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This algorithm would simulate sword & shield combat, that's how the battle scenes look so dynamic and realistic.
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However, due to imbalance in the payoff computations, the first time they ran it, all the soldiers realized the best action was to run away.
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So both armies marched up and promptly fled each other.
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And sometimes tragically.
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That's hilarious.
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