each other in a penalty kick that will determine the outcome of the game. The kicker can kick the ball left or right, while the goalie can choose to jump left or right. Because of the speed of the kick, the decisions need to be made simultaneously. If the goalie jumps in the same direction as the kick, then the goalie wins and the kicker loses. If the goalie jumps in the opposite direction of the kick then the kicker wins and the goalie loses. Model this as a strategic form game and write down the matrix that represents the game you modeled. Find the Nash equilibrium.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter15: Oligopoly And Strategic Behavior
Section: Chapter Questions
Problem 17P
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There are a kicker and a goalie who confront each other in a penalty kick that will
determine the outcome of the game. The kicker can kick the ball left or right, while the goalie
can choose to jump left or right. Because of the speed of the kick, the decisions need to be
made simultaneously. If the goalie jumps in the same direction as the kick, then the goalie wins
and the kicker loses. If the goalie jumps in the opposite direction of the kick then the kicker
wins and the goalie loses. Model this as a strategic form game and write down the matrix that
represents the game you modeled. Find the Nash equilibrium.

 

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