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Mathematics

Game Theory Equilibria through Pure and Mixed Strategies

Quick fact

John Nash proved that every finite game has at least one equilibrium when mixed strategies are allowed, even when no pure strategy equilibrium exists.

Why this is interesting

In a game of rock-paper-scissors, what is your best strategy? If you think you have a winning move, your opponent can predict it and counter it—so maybe the best choice is to be unpredictable.