Explanation Given Information: The provided payoff matrix is a b c p q r s [ 2 − 4 9 1 1 0 − 1 − 2 − 3 1 1 − 1 ] . Formula used: One row dominates the other row if every entry in the former is greater than or equal to the corresponding entries in the latter. One column dominates the other column if every entry in the former is lower than or equal to the corresponding entries in the latter. Procedure for reducing by dominance: To reduce a matrix by dominance, remove all dominated rows and then remove all dominated columns and repeat till there are no dominated rows and columns. Calculation: Consider the payoff matrix, a b c p q r s [ 2 − 4 9 1 1 0 − 1 − 2 − 3 1 1 − 1 ] . Since, in row r , − 1 is worse than 1, − 2 is worse than 1 and − 3 is worse than 0 and in row s , 1 is equal to 1 and − 1 is worse than 0. Thus, in the payoff matrix, a b c p q r s [ 2 − 4 9 1 1 0 − 1 − 2 − 3 1 1 − 1 ] row q dominates rows r and s . To reduce the payoff matrix, eliminate rows r and s . Thus, the reduced matrix is a b c p q [ 2 − 4 9 1 1 0 ]

Finite Mathematics and Application Calculus (Looseleaf) - Text Only

7th Edition

ISBN: 9781337291484

Author: Waner

Publisher: Cengage

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Chapter 5.4, Problem 14E

To determine

To calculate: The reduced matrix of the payoff matrix a b cpqrs[2−49110−1−2−311−1] by dominance.

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Chapter 5.4, Problem 13E

Chapter 5.4, Problem 15E

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Chapter 5 Solutions

Finite Mathematics and Application Calculus (Looseleaf) - Text Only

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The reduced matrix of the payoff matrix a b c p q r s [ 2 − 4 9 1 1 0 − 1 − 2 − 3 1 1 − 1 ] by dominance.

Solution Summary: The author explains how to calculate the reduced matrix of the payoff matrix by dominance. One row dominates the other if every entry is greater than or equal to the corresponding entries in the latter.

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To calculate: The reduced matrix of the payoff matrix a b cpqrs[2−49110−1−2−311−1] by dominance.

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Chapter 5 Solutions