Consider the goalie's anxiety at the penalty kick. Let the kicker's payoffs below represent the kicker's probability of success and the goalie's payoffs the probability of failure. Goalie
The goalie should defend left with probability

Question

Consider the goalie's anxiety at the penalty kick. Let the kicker's payoffs below represent the kicker's probability of success and the goalie's payoffs the probability of failure. Goalie
 The goalie should defend left with probability

Quizplus · Accepted Answer

According to the expected utility theory, the goalie's strategy should be to defend the most likely side of the goal. In this case, the probability of the kicker aiming left is 0.7, and the goalie's payoff for defending left is -1 (failure). The probability of the kicker aiming right is 0.3, and the goalie's payoff for defending right is 0 (success). Therefore, the expected payoff for defending left is -0.7, and the expected payoff for defending right is 0. Therefore, the goalie should defend left with probability 0.7/(-0.7+0) = 0.63.

Consider the Goalie's Anxiety at the Penalty Kick