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5. There are three players, labeled 1,2 and 3. At the start of the game, players 1 and 2 simultaneously choose between playing A and

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5. There are three players, labeled 1,2 and 3. At the start of the game, players 1 and 2 simultaneously choose between playing \"A\" and \"B\". If they both choose \"A\" then the game ends and the payoffs are (1,0,0) (the order of payoffs is: player 1, 2 and 3). If they both choose \"B\" then the game ends and payoffs are (0,1,0). If one player chooses \"A\" while the other one chooses \"B\guesses correctly, then he and the player who selected \"A\" each obtains a payoff of 2, and the player who selected \"B\" gets a payoff of 0. If player 3 guesses incorrectly, then everybody gets a payoff of 0. Draw the extensive form of this game

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