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Minimax – Ch3-3 4. Alice and Bob are playing an adversarial game as shown in the game tree below. Alice (the MAX player) and Bob (the MIN player) are both rational and they both know that their opponent is also a rational player. The game tree has one chance node E whose outcome can be either E = - 100 or E = +120 with equal 0.5 probability. Alice Bob -20 60 -100 120 Each player's utility is equal to the amount of money he or she has. The value xof each leaf node in the game tree means that Bob will pay Alice xdollars after the game, so that Alice and Bob's utilities will be x and -x respectively. A. Suppose neither Alice nor Bob knows the outcome of E before playing. What is Alice's expected utility? B. Carol, a good friend of Alice's, has access to Eand can secretly tell Alice the outcome of E'before the game. However, Bob is not aware of any communication between Alice and Carol, so he still

Minimax – Ch3-3 4. Alice and Bob are playing an adversarial game as shown in the game tree below. Alice (the MAX player) and Bob (the MIN player) are both rational and they both know that their opponent is also a rational player. The game tree has one chance node E whose outcome can be either E = - 100 or E = +120 with equal 0.5 probability. Alice Bob -20 60 -100 120 Each player's utility is equal to the amount of money he or she has. The value xof each leaf node in the game tree means that Bob will pay Alice xdollars after the game, so that Alice and Bob's utilities will be x and -x respectively. A. Suppose neither Alice nor Bob knows the outcome of E before playing. What is Alice's expected utility? B. Carol, a good friend of Alice's, has access to Eand can secretly tell Alice the outcome of E'before the game. However, Bob is not aware of any communication between Alice and Carol, so he still

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Minimax – Ch3-3 4. Alice and Bob are playing an adversarial game as shown in the game tree below. Alice (the MAX player) and Bob (the MIN player) are both rational and they both know that their opponent is also a rational player. The game tree has one chance node E whose outcome can be either E = - 100 or E = +120 with equal 0.5 probability. Alice Bob -20 E 60 -100 120 Each player's utility is equal to the amount of money he or she has. The value xof each leaf node in the game tree means that Bob will pay Alice xdollars after the game, so that Alice and Bob's utilities will be xand -x respectively. A. Suppose neither Alice nor Bob knows the outcome of E before playing. What is Alice's expected utility? B. Carol, a good friend of Alice's, has access to Eand can secretly tell Alice the outcome of E'before the game. However, Bob is not aware of any communication between Alice and Carol, so he still
Transcribed Image Text:Minimax – Ch3-3 4. Alice and Bob are playing an adversarial game as shown in the game tree below. Alice (the MAX player) and Bob (the MIN player) are both rational and they both know that their opponent is also a rational player. The game tree has one chance node E whose outcome can be either E = - 100 or E = +120 with equal 0.5 probability. Alice Bob -20 E 60 -100 120 Each player's utility is equal to the amount of money he or she has. The value xof each leaf node in the game tree means that Bob will pay Alice xdollars after the game, so that Alice and Bob's utilities will be xand -x respectively. A. Suppose neither Alice nor Bob knows the outcome of E before playing. What is Alice's expected utility? B. Carol, a good friend of Alice's, has access to Eand can secretly tell Alice the outcome of E'before the game. However, Bob is not aware of any communication between Alice and Carol, so he still
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