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In the standard coordination game, player 1 and player 2 want to go to opera...

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Accounting

In the standard coordination game, player 1 and player 2 want to go to opera or boxing. While Opera is preferred by player 1, boxing is preferred by player 2. Both get higher payoff being together and different choices yield zero payoff. Consider the following version of the Coordination game where Player 1 is unsure whether Player 2 wants to go out with her or avoid her, and thinks that these two possibilities can happen with probabilities p, 1-p. The two versions of the game are described by the normal form matrix below. Draw the Extensive form of this game. Table 1: Player 2 wishes to meet Player 2 Opera Boxing Player 1 Opera 2, 1 0, 0 Boxing 0, 0 1, 2 Table 2: Player 2 wishes to avoid Player 2 Opera Boxing Player 1 Opera 2, 0 0, 2 Boxing 0, 1 1, 0

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