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): 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 begin, we must parse the structure of the extensive-form game and the questions asking for which moves occur at each decision node as well as the subgame and overall equilibria.
Option 1 (What move will player 1 make: A or B?): Consider the initial choice by player 1 between A and B. If 1 plays A, the game proceeds to the left subgame at node 2(a); if 1 plays B, it leads to the righ......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
Consider the following abstract game consisting of three players. The numbers in the nodes refer to the player number: Select the right answers for the following: What is the sub-game perfect equilibrium for sub-game 3: [ Select ] What is the sub-game perfect equilibrium for sub-game 2: [ Select ] What is the sub-game perfect equilibrium for the entire game: [ Select ]
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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