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Hard · Game Theory & Logic · Quant Trader interview question · game-theory, nash-equilibrium, probability, randomization
Two players, A and B, are playing a simplified Colonel Blotto game. Each player has 100 soldiers to allocate across three battlefields. The player who allocates more soldiers to a battlefield wins that battlefield. If both players allocate the same number of soldiers to a battlefield, it is a tie, and neither player wins that battlefield. The goal is to win the most battlefields (winning two battlefields is better than winning one). Assume that fractional soldiers are not allowed (integer alloca