−2 4 6   −2 1 1 1 −1 1. (a) Find the expected payoff to the row player if the row player R uses the maximin pure strategy and the column player C uses the minimax pure strategy. (b) Find the expected payoff to the row player if R uses the maximin strategy 50% of the time and chooses each of the other two rows 25% of the time while C uses the minimax strategy 60% of the time and chooses each of the other two columns 20% of the time. (Round your answer to two decimal places.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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The payoff matrix for a game is

 
−2 4 6
 
−2 1 1
1 −1 1
.
(a) Find the expected payoff to the row player if the row player R uses the maximin pure strategy and the column player C uses the minimax pure strategy.


(b) Find the expected payoff to the row player if R uses the maximin strategy 50% of the time and chooses each of the other two rows 25% of the time while C uses the minimax strategy 60% of the time and chooses each of the other two columns 20% of the time. (Round your answer to two decimal places.)

 

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