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Please solve the question below about game theory Question 2 Consider the following version of the ultimatum game in which two players have the opportunity

Please solve the question below about game theory

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Question 2 Consider the following version of the ultimatum game in which two players have the opportunity to split $10. First, player 1 proposes a number 2, where z can take one of (only) ve values 0, 1, 3, 5 or 8. Then, player 2 decides whether to accept or reject the proposal. If player 2 accepts the proposal, then player 2 receives z dollars, and player 1 is left with 10 2 dollars (e.g., if player 2 accepts 2 = 3, then player 2 gets $3, and player 1 gets $7). If player 2 rejects it7 then both players get $0. (a) Draw the extensive form of this game. (b) How many pure strategies does each player have in the game? (0) Find all purestrategy subgame perfect equilibria of the game. (d) Does the game have a Nash equilibrium in which player 1 gets only $2

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