Consider the following penalty-kick game. Note that the payoffs are asymmetric. Goalie Kicker Left Right Left 0,6 4.-5 Right 5, -5 0,6 In the mixed-strategy Nash equilibrium, let p = the probability that the Kicker plays "Left"; let q = the probability that the goalie plays "Left". Calculate p+q and enter your answer in the box below. Please round your answer to 3

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Consider the following penalty-kick game. Note that the payoffs are asymmetric.
Goalie
Kicker
Left
Right
Left
0,6
4.-5
Right
5, -5
0,6
In the mixed-strategy Nash equilibrium,
let p = the probability that the Kicker plays "Left";
let q = the probability that the goalie plays "Left".
Calculate p+q and enter your answer in the box below. Please round your answer to 3
decimals (e.g., write 4/3 as 1.333).
Transcribed Image Text:Consider the following penalty-kick game. Note that the payoffs are asymmetric. Goalie Kicker Left Right Left 0,6 4.-5 Right 5, -5 0,6 In the mixed-strategy Nash equilibrium, let p = the probability that the Kicker plays "Left"; let q = the probability that the goalie plays "Left". Calculate p+q and enter your answer in the box below. Please round your answer to 3 decimals (e.g., write 4/3 as 1.333).
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