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Game theory Consider the following scenario. There are two players. Player 1 moves first and chooses A, B or C. If player 1 plays C,

Game theory

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Consider the following scenario. There are two players. Player 1 moves first and chooses A, B or C. If player 1 plays C, player 2 observes this, and then chooses to play top or bottom. If player 2 plays top, the game ends, but if player 2 plays bottom, player 1 moves again, choosing M or N, after which the game ends. If player 1 plays A or B, then player 2 cannot observe what player 1 did, and then plays up or down, after which the game ends. Player 1's favorite outcome occurs after player 2 plays T, but her least preferred outcome occurs after player 2 plays B. Player 2's favorite outcome occurs after player 1 plays B and player 2 plays up, but his least preferred outcome occurs after player 1 plays A and player 2 plays up. Which extensive form game tree represents this scenario? O EFG B O EFG A O EFG D O EFG C

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