题目
COMP90054_2025_SM1 Practice Quiz: Extensive-form games (not assessed)
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): [ 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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标准答案
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思路分析
First, I’ll restate the problem setup and the options being evaluated so we have a clear map of what each choice refers to.
- At the root (player 1’s move): A or B.
- If 1 chooses A, the game continues to node 2(a) where player 2 chooses between C and D. The payoffs at 2(a) are: C gives 10,0 and D gives -1,-2.
- If 1 chooses B, the game continues to node 2(b) where player 2 again chooses between C and D. The payoffs at 2(b) are: C gives 4,9 and D gives 8,6.
The questions are:
1) What move will player 1 make? Options: A or B.
2) What move will player 2 make? Options: D or C (at the root’s subgame under player 1’s chosen branch).
3) What is the equilibrium of the sub-game starting at node 2(a)? Options: -1,-2 or 10,0.
4) What is the equilibrium of the sub-game startin......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?
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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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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