Compute the expected minimax value for each node in the game tree. Write you answer into the figure.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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2. Consider the following game tree with MAX nodes (upward pointing triangles), MIN nodes (downward
pointing triangles and chance nodes (circles). The leaf nodes represent the profit made by MAX if the
game ends up in that leaf node. MIN is a logical agent and tries to minimize the profit of MAX. Chance
nodes represent a “not-fair" coin, going left with 0.3 and right with 0.7 probability.
a. Compute the expected minimax value for each node in the game tree. Write you answer into the
figure.
b. What are the possible outcomes of playing this game when both players are logical agents and
what are the probabilities of these outcomes occurring?
MAX
MIN
Bet=0.3
Bate-0.7
6 1 5 3 7 2 8 4
Transcribed Image Text:2. Consider the following game tree with MAX nodes (upward pointing triangles), MIN nodes (downward pointing triangles and chance nodes (circles). The leaf nodes represent the profit made by MAX if the game ends up in that leaf node. MIN is a logical agent and tries to minimize the profit of MAX. Chance nodes represent a “not-fair" coin, going left with 0.3 and right with 0.7 probability. a. Compute the expected minimax value for each node in the game tree. Write you answer into the figure. b. What are the possible outcomes of playing this game when both players are logical agents and what are the probabilities of these outcomes occurring? MAX MIN Bet=0.3 Bate-0.7 6 1 5 3 7 2 8 4
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