Explanation Given Information: The provided payoff matrix is a b c P Q R S [ 1 − 1 − 5 4 − 4 2 3 − 3 − 10 5 − 5 − 4 ] . Formula used: The minimax criterion is one that minimizes the maximum damage the opponent can cause. A saddle point is a payoff v which is simultaneously a row minimum and a column maximum. The game is strictly determined if a game has a saddle point, the corresponding row and column strategies are optimal and expected value of the game is the payoff v . Calculation: Consider the payoff matrix a b c P Q R S [ 1 − 1 − 5

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Author: Stefan Waner, Steven Costenoble

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Chapter 4.4, Problem 19E

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To calculate: The players’ optimal strategies and value of the game if the game a b cPQRS[1−1−54−423−3−105−5−4] is strictly determined.

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Chapter 4.4, Problem 18E

Chapter 4.4, Problem 20E

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The players’ optimal strategies and value of the game if the game a b c P Q R S [ 1 − 1 − 5 4 − 4 2 3 − 3 − 10 5 − 5 − 4 ] is strictly determined.

Solution Summary: The author calculates the players' optimal strategies and value of the game if the payoff matrix is strictly determined.

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To calculate: The players’ optimal strategies and value of the game if the game a b cPQRS[1−1−54−423−3−105−5−4] is strictly determined.

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