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Hard · Game Theory & Logic · Quant Trader interview question · game-theory, logic, rationality, iterated-dominance
You are participating in a game against a large group of traders. Each trader, including you, must choose an integer between 0 and 100 (inclusive). The winner is the trader who guesses closest to 2/3 of the average of all the guesses. Assume all traders are rational and aim to maximize their chances of winning. What number should you choose?