If Player A plays UP and Player B plays LEFT then Player A gets $2 and Player B gets $4. If Player A plays UP and Player B plays RIGHT then Player A gets $3 and Player B gets $6. If Player A plays DOWN and Player B plays LEFT then Player A gets $5 and Player B gets $2 If Player A plays DOWN and Player B plays RIGHT then Player A gets $1 and Player B gets What is the Mixed Strategy Equilibrium for Player A? O(UP, DOWN) - (2/5, 3/5) O(UP. DOWN)- (1/3, 2/3) O(UP, DOWN) - (7/8, 1/8) O (UP, DOWN) - (1/8, 7/8)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.8P
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Assume the following game situation:
If Player A plays UP and Player B plays LEFT then Player A gets $2 and Player B gets $4.
If Player A plays UP and Player B plays RIGHT then Player A gets $3 and Player B gets $6.
If Player A plays DOWN and Player B plays LEFT then Player A gets $5 and Player B gets $2.
If Player A plays DOWN and Player B plays RIGHT then Player A gets $1 and Player B gets $1.
What is the Mixed Strategy Equilibrium for Player A?
O (UP. DOWN) - (2/5, 3/5)
O (UP, DOWN) = (1/3, 2/3)
O (UP, DOWN) = (7/8, 1/8)
O (UP, DOWN) - (1/8, 7/8)
Transcribed Image Text:Assume the following game situation: If Player A plays UP and Player B plays LEFT then Player A gets $2 and Player B gets $4. If Player A plays UP and Player B plays RIGHT then Player A gets $3 and Player B gets $6. If Player A plays DOWN and Player B plays LEFT then Player A gets $5 and Player B gets $2. If Player A plays DOWN and Player B plays RIGHT then Player A gets $1 and Player B gets $1. What is the Mixed Strategy Equilibrium for Player A? O (UP. DOWN) - (2/5, 3/5) O (UP, DOWN) = (1/3, 2/3) O (UP, DOWN) = (7/8, 1/8) O (UP, DOWN) - (1/8, 7/8)
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