Explanation Given: The game is as follows. The player R has three cards, a red 3, a red 6 and a black 7 and the player C has two cards, a red 4 and a black 9. If the player R and C shows same color then, the player R receives the larger of the two numbers. If the player R and C shows different color then, the player C receives the sum of two numbers. Calculation: In the given game the player R has 3 chances and the player C has 2 chances. Thus, the given payoff matrix is of order 3 × 2 . The a 11 th position of the payoff matrix is given by the player R shows the card red 3 and the player C shows red 4. Here, the player R and C shows same color. Thus, by the rule for the game “the player R receives the larger of the two numbers”. That is, the player R receives the number 4. Therefore, the a 11 th position of the payoff matrix is 4 . The a 12 th position of the payoff matrix is given by the player R shows the card red 3 and the player C shows black 9. Here, the player R and C shows different color. Thus, by the rule for the game “the player C receives the sum of two numbers”

Thomas' Calculus and Linear Algebra and Its Applications Package for the Georgia Institute of Technology, 1/e

5th Edition

ISBN: 9781323132098

Author: Thomas, Lay

Publisher: PEARSON C

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Chapter 9.1, Problem 4E

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To compute: The payoff matrix for the game.

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Chapter 9 Solutions

Thomas' Calculus and Linear Algebra and Its Applications Package for the Georgia Institute of Technology, 1/e

Ch. 9.1 - Find the optimal strategies and the value of the...Ch. 9.1 - Player R has a supply of dimes and quarters....Ch. 9.1 - Prob. 2E Ch. 9.1 - In the traditional Japanese childrens game janken...Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Find all saddle points for the matrix games in...Ch. 9.1 - Find all saddle points for the matrix games in...Ch. 9.1 - Find all saddle points for the matrix games in...Ch. 9.1 - Prob. 9E

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The payoff matrix for the game.

Solution Summary: The author explains the payoff matrix for the game. The player R has 3 chances and the player C has 2 chances.

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To compute: The payoff matrix for the game.

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