题目
多重下拉选择题
Consider the following abstract extensive-form game of two players, 1 and 2, each with two available moves. Select the right answers for the following: What move will player 1 make: [ Select ] A B What move will player 2 make: [ Select ] D C What is the equilibrium of the sub-game starting at node 2(a): 10, 0 What is the equilibrium of the sub-game starting at node 2(b): [ Select ] 4, 9 8, 6 What is the equilibrium of the game starting at node 1: [ Select ] -1, -2 10, 0 8, 6 4, 9
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标准答案
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思路分析
To tackle this extensive-form game, I will examine each decision point and compare the resulting payoffs.
Option set for the first question (What move will player 1 make: A or B?):
- If Player 1 chooses A, the game proceeds to node 2(a). The subgame at 2(a) has two branches for Player 2: C or D. The provided equilibria indicate the outcome of the 2(a) subgame is (10, 0) when Player 2 chooses C over D, since C yields 0 for Player 2 which is higher than -2 from D, while Player 1 gets 10 in that outcome. Therefore, A leads to a higher payoff for Player 1 (10) than the alternative B would yield.
- If Player 1 chooses B, the game proceeds to node 2(b). The 2(b) subgame has branches C or D, ......Login to view full explanation登录即可查看完整答案
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类似问题
Consider an extensive form game between two players, A and B, where Player A plays first and Player B plays last. Player A can choose between Up and Down, and Player B can choose between Left and Right. If the payoffs are represented using this tree, what is the subgame perfect Nash equilibrium?
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Consider the following abstract extensive-form game of two players, 1 and 2, each with two available moves. Select the right answers for the following: What move will player 1 make: [ Select ] A B What move will player 2 make: [ Select ] D C What is the equilibrium of the sub-game starting at node 2(a): 10, 0 What is the equilibrium of the sub-game starting at node 2(b): [ Select ] 4, 9 8, 6 What is the equilibrium of the game starting at node 1: [ Select ] -1, -2 10, 0 8, 6 4, 9
Consider the following abstract extensive-form game of two players, 1 and 2, each with two available moves. Select the right answers for the following: What move will player 1 make: [ Select ] A B What move will player 2 make: [ Select ] D C What is the equilibrium of the sub-game starting at node 2(a): [ Select ] -1, -2 10, 0 What is the equilibrium of the sub-game starting at node 2(b): [ Select ] 4, 9 8, 6 What is the equilibrium of the game starting at node 1: [ Select ] -1, -2 10, 0 8, 6 4, 9
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