Consider the following payoff matrix describing the interaction between a kicker and a goalkeeper in a penalty kick situation in soccer. These payoffs are consistent with the kicker being more accurate when aiming towards the right side of the goal. Kicker Goal keeper Dives Left Dives Right Kicks Left (0.4,-0.4) (0.8, -0.8) Kicks Right (0.9,-0.9) (0.5,-0.5) Which of the following is a mixed strategy Nash equilibrium of this game? The kicker "Kicks Left" with probability 0.5 and the goalkeeper "Dives Left" with probability 0.375. The kicker "Kicks Left" with probability 0.375 and the goalkeeper "Dives Left" with probability 0.375. The game has no mixed strategy Nash equilibrium. ○ The kicker "Kicks Left" with probability 0.5 and the goalkeeper "Dives Left" with probability 0.5.
Consider the following payoff matrix describing the interaction between a kicker and a goalkeeper in a penalty kick situation in soccer. These payoffs are consistent with the kicker being more accurate when aiming towards the right side of the goal. Kicker Goal keeper Dives Left Dives Right Kicks Left (0.4,-0.4) (0.8, -0.8) Kicks Right (0.9,-0.9) (0.5,-0.5) Which of the following is a mixed strategy Nash equilibrium of this game? The kicker "Kicks Left" with probability 0.5 and the goalkeeper "Dives Left" with probability 0.375. The kicker "Kicks Left" with probability 0.375 and the goalkeeper "Dives Left" with probability 0.375. The game has no mixed strategy Nash equilibrium. ○ The kicker "Kicks Left" with probability 0.5 and the goalkeeper "Dives Left" with probability 0.5.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 8EA
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Transcribed Image Text:Consider the following payoff matrix describing the interaction between a kicker and a goalkeeper in a penalty kick situation in soccer. These payoffs are consistent with the kicker being more accurate when
aiming towards the right side of the goal.
Kicker
Goal keeper
Dives Left
Dives Right
Kicks Left
(0.4,-0.4)
(0.8, -0.8)
Kicks Right
(0.9,-0.9)
(0.5,-0.5)
Which of the following is a mixed strategy Nash equilibrium of this game?
The kicker "Kicks Left" with probability 0.5 and the goalkeeper "Dives Left" with probability 0.375.
The kicker "Kicks Left" with probability 0.375 and the goalkeeper "Dives Left" with probability 0.375.
The game has no mixed strategy Nash equilibrium.
○ The kicker "Kicks Left" with probability 0.5 and the goalkeeper "Dives Left" with probability 0.5.
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