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Consider a game where everyone in class simultaneously chooses a whole number between 1 and 10 and whoever chooses closest to twice the average wins

Consider a game where everyone in class simultaneously chooses a whole number between 1 and 10 and whoever chooses closest to twice the average wins (flip a coin on a tie). Find a Nash equilibrium in this game. (Bonus: would it be different if the choices were between 0 and 10?)

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