Consider the Following Two Two-Player Games - Game 1 and Game

Question 36

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Consider the following two two-player games - Game 1 and Game 2. In each game, 1 and 2 refer to the two players. The first number in each payoff box refers to the payoff for player 1 and the second number to the payoff for player 2. The strategies L, R, and D stand for Left, Right and Down respectively. At each node I have shown the player who gets to move at that node.
Game 1:
Consider the following two two-player games - Game 1 and Game 2. In each game, 1 and 2 refer to the two players. The first number in each payoff box refers to the payoff for player 1 and the second number to the payoff for player 2. The strategies L, R, and D stand for Left, Right and Down respectively. At each node I have shown the player who gets to move at that node. Game 1:    Game 2:    (a) What is the subgame perfect equilibrium in Game 1 and Game 2? (It is the same in both games. So you only need to solve for it once.) (b) In which game - 1 or 2 - is the symmetric joint payoff maximizing outcome of (100, 100) more likely? Is it Game 1 or Game 2? Why? Explain briefly. Game 2:
Consider the following two two-player games - Game 1 and Game 2. In each game, 1 and 2 refer to the two players. The first number in each payoff box refers to the payoff for player 1 and the second number to the payoff for player 2. The strategies L, R, and D stand for Left, Right and Down respectively. At each node I have shown the player who gets to move at that node. Game 1:    Game 2:    (a) What is the subgame perfect equilibrium in Game 1 and Game 2? (It is the same in both games. So you only need to solve for it once.) (b) In which game - 1 or 2 - is the symmetric joint payoff maximizing outcome of (100, 100) more likely? Is it Game 1 or Game 2? Why? Explain briefly. (a) What is the subgame perfect equilibrium in Game 1 and Game 2? (It is the same in both games. So you only need to solve for it once.) (b) In which game - 1 or 2 - is the symmetric joint payoff maximizing outcome of (100, 100) more likely? Is it Game 1 or Game 2? Why? Explain briefly.

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