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Richie and Cathy Play a Game of Matching Fingers

Question 116

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Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​
Construct the payoff matrix for the game and determine whether the game is strictly determined.


A) Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. R's moves Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. The game is strictly determined.
B) Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. R's moves Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. The game is not strictly determined.
C) Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. R's moves Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. The game is not strictly determined.
D) Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. R's moves Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. The game is not strictly determined.
E) Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. R's moves Richie and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend 1, 2, or 3 fingers from a closed fist. If the sum of the number of fingers extended is even, then Richie receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollars equal to that sum from Richie. ​ Construct the payoff matrix for the game and determine whether the game is strictly determined. ​ A)      R's moves   The game is strictly determined. B)      R's moves   The game is not strictly determined. C)      R's moves   The game is not strictly determined. D)      R's moves   The game is not strictly determined. E)      R's moves   The game is strictly determined. The game is strictly determined.

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